Recent Progress in Preparation and Anti-Icing Applications of Superhydrophobic Coatings

Aircraft icing refers to ice formation and accumulation on the windward surface of aircrafts. It is mainly caused by the striking of unstable supercooled water droplets suspended in clouds onto a solid surface. Aircraft icing poses an increasing threat to the safety of flight due to the damage of aerodynamic shape. This review article provides a comprehensive understanding of the preparation and anti-icing applications of the superhydrophobic coatings applied on the surface of aircrafts. The first section introduces the hazards of aircraft icing and the underlying formation mechanisms of ice on the surface of aircrafts. Although some current anti-icing and de-icing strategies have been confirmed to be effective, they consume higher energy and lead to some fatigue damages to the substrate materials. Considering the icing process, the functional coatings similar to lotus leaf with extreme water repellency and unusual self-cleaning properties have been proposed and are expected to reduce the relied degree on traditional de-icing approaches and even to replace them in near future. The following sections mainly discuss the current research progress on the wetting theories of superhydrophobicity and main methods to prepare superhydrophobic coatings. Furthermore, based on the bouncing capacity of impact droplets, the dynamic water repellency of superhydrophobic coatings is discussed as the third evaluated parameter. It is crucial to anti-icing applications because it describes the ability of droplets to rapidly bounce off before freezing. Subsequently, current studies on the application of anti-icing superhydrophobic coatings including the anti-icing mechanisms and application status are introduced in detail. Finally, some limitations and issues related to the anti-icing applications are proposed to provide a future outlook on investigations of the superhydrophobic anti-icing coatings.


Hazards of Icing
Adhesion of ice and wet-snow on aircraft surfaces causes numerous serious aviation accidents and has become a fatal threat to flight safety.In November 2004, a flight (China Eastern Airlines MU5210) from Baotou to Shanghai crashed due to undesired ice accumulation on the surface of aircraft, causing serious economic issues and a huge loss of lives.The accident investigation further confirmed that ice accretion in frosting weather resulted in loss of control over operating speed and caused the plane to lose its lift, which reduced the critical angle of attack, especially when the ice was formed at the wing leading edge.Coincidentally, in June 2006, KJ-200 early-warning aircraft belonging to the China Air Force was carrying out task on the way through the supercooled cloud area and gradually faced the ice accumulation on the surface of aircraft.This caused the aircraft to lose control and the crew died in the disaster.Furthermore, in June 2009, owing to the ice accretion on the surface of A330 aircraft, the airspeed system broke down, finally causing the aircraft to crash into the Atlantic Ocean.Therefore, aircraft icing has been a burning problem to confront for years.
Aircraft icing refers to ice formation and accumulation on the windward surface of aircrafts [1,2].Once the ice is formed, the aerodynamic shape of aircraft is severely damaged; and the critical angle of attack also decreases.These changes lead to a series of serious flight problems, including the redistribution of airfoil pressure, reduction of lift factor, increase in resistance coefficient, and the rapid diminution of lift resistance ratio.Moreover, liftoff speed and running distance increase significantly and make taking-off and climbing difficult under icing conditions.
The airflow separation caused by ice on the aircraft tails is also a serious issue.It affects the handling speed of the aircraft rudder and reduces the aircraft pitch torque coefficient and the critical angle of attack of wing/tail, finally resulting in increment of the allowable speed when an aircraft is flying horizontally [3][4][5].Furthermore, ice accretion on horizontal tails can easily lead to serious non-manipulative "aircraft bow" phenomenon when the aircraft takes off or lands.This is mainly attributed to the variation of the critical negative angle of attack.In general, the horizontal stabilizer remains at a negative angle of attack during taking-off or landing; and ice adhesion reduces the negative angle of attack.At this moment, airflow separation can occur at a smaller negative angle of attack when the aircraft is flying at a large speed or under fewer overloads.With the further increase in speed, the angle of attack further reduces.The complete separation of the airflow occurs below horizontal tail, closely following a non-manipulative "aircraft bow" phenomenon.At this point, to reverse this phenomenon, the pilot has to increase the deflection angle of wing flaps, while accelerating the separation of airflow [6].
On the other hand, ice accumulation on the engine inlet also easily causes thrust reduction and poor performance and surge.Once the engine inlets are frozen, the original streamline shape changes rapidly and additional resistance increases.Furthermore, the aerodynamic characteristics of the intake and compressor passages change, so that the airflow gets reduced, resulting in the gradual reduction of thrust.More seriously, the aircraft flameout in flight probably happens because the ice falls off and cracks into the engine blades with the assistance of airflow [7].Moreover, ice accumulation on the aircraft surface similarly affects a variety of communication and sensing equipment, in particular, the detection of air pressure on the airspeed tubes, making the pilot misjudge the flight speed, weather conditions, and even neglect the handling of aircraft.In conclusion, aircraft icing has been recognized as a potential threat to aviation security, thus restricting the development of aviation industry and seriously affecting people's normal life [8].

Mechanism of Ice Formation
Investigation of the serious security threat caused by icing, comprehensive understanding of the aircraft icing process, and development of efficient de-icing and anti-icing technologies have become important research topics for domestic and international aviation scientists.Based on the study of flight meteorological conditions, clouds in the atmosphere mainly contain three types of aqueous phases: solid ice crystals, supercooled water droplets, and water droplets.These phases change with the altitude and cloud temperature characteristics [9][10][11], as shown in Figure 1.

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Ice crystals: refer to the solid hydrate when water vapor grows up on the ice nucleus by deposition process.The aircraft icing is mainly dry icing, where ice crystals deposit directly on the surface of the aircraft.

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Supercooled water droplets: refer to the water droplets which still exist in the liquid form below the freezing point [12].The main reason responsible for this phenomenon is that with the increase in height, the temperature drops rapidly below the freezing point.However, the droplets lack the ice nucleation vectors so that the water droplets below the freezing point are still in a liquid form.The temperature range of these water droplets is typically between 0 and −40 • C. In this case, the aircraft icing is water droplets icing, and a high ice adhesion occurs on the solid surface of the aircraft.

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Ordinary water droplets: mainly refer to the water vapor which distributes in the clouds.Moreover, this type of water droplets generally exhibit below the flight height and they do not easily get frozen on the surface of the plane.
Ice crystals hit the surface below the freezing point without any changes in the phase compositions; therefore, a lower adhesion occurs between the formed ice and solid surface (it can be removed off under the action of its own gravity).In contrast, ice accumulation caused by supercooled water droplets is the most common form in aircraft icing process.In general, aircraft icing mainly refers to the process, where the supercooled water droplets first hit the aircraft surface, and the subsequent phase transition occurs to produce a high bonding strength between ice and substrate surface [13,14].Under the action of fairly strong convective airflow, a wide area of dispersed supercooled water droplets appears in the air, which easily causes the freezing of the supercooled water droplets on the surface of aircrafts.As a consequence, aircraft icing mainly depends on the distribution of supercooled water droplets, liquid water content, mean effective diameter of supercooled water droplets, and airflow temperature.Although supercooled water droplets do not easily freeze in the clouds, they are very unstable, and even a smaller disturbance compels them to quickly freeze into ice.When aircrafts fly through such a cold region, supercooled water droplets hit the aircraft wing, propeller, and the fronts of engine and other parts, and are broken and spread on the surface.The surface curvature decreases suddenly, thus the pressure of liquid water is abruptly reduced, causing the increase in the relative freezing point [15][16][17].Moreover, owing to low temperature of aircraft surface, the heat emitted by the droplets solidification process is absorbed quickly, which leads to the rapid freezing of the supercooled water droplets on the surface of aircrafts [18].
According to specific conditions of icing and different shapes of accumulated ice, aircraft icing is generally divided into the following three types: clear ice, rime, and mixed ice, as shown in Figure 2. Different ice shapes have different effects on performance of flight.The formation temperature of the clear ice is relatively high (generally higher than −10 • C); and the formed ice layer has a smooth and transparent surface with high density adhesion.Rime is mainly formed at a lower temperature (lower than −20 • C), at which the supercooled water droplets immediately release the latent heat and quickly freeze after hitting the substrate surface.Owing to extremely rapid freezing process, there is no enough time to remove air bubbles present between the ice particles, resulting in poor transparency and loose tissue of the ice layer.As a result, the rime displays lower ice adhesion strength on the substrate surface which is easy to be removed off.The mixed ice including both rime and clear ice is endowed with the characteristics of both the clear ice and the rime.The rime mainly distributes in the forefront of the ice layer, while transparent and dense clear ice mainly exists on both sides with higher ice adhesion strength [19,20].
To better cope up with the icing problem faced in the flight process, aircraft icing is divided into four grades, as listed in Table 1.In general, weak ice (micro-ice) does not pose threat to flight safety, unless the icing time is too long.This degree of icing rate is slightly larger than sublimation.Mild ice phenomenon appearing for more than 1 h brings some problems to flight safety.At this point, the necessary de-icing approaches should be used to eliminate potential threats.Strong ice (moderate ice) further increases the risks.In this case, anti/de-icing equipment must be operated to remove the ice from the surface of aircrafts.At the same time, pilots should consider whether to change the flight altitude or course.In the extremely strong ice (severe ice) condition, anti-icing equipment on the aircraft is not able to reduce or control ice accumulations.In this case, pilot must immediately change the course.It is noteworthy that the above-mentioned descriptions are not clear enough, because different types of aircrafts in the same environment have different reactions to the degree of icing.
For instance, the mild ice accretion formed on some large aircrafts may be a severe ice problem for a Cessna 150 aircraft.
the clear ice is relatively high (generally higher than −10 °C); and the formed ice layer has a smooth and transparent surface with high density adhesion.Rime is mainly formed at a lower temperature (lower than −20 °C), at which the supercooled water droplets immediately release the latent heat and quickly freeze after hitting the substrate surface.Owing to extremely rapid freezing process, there is no enough time to remove air bubbles present between the ice particles, resulting in poor transparency and loose tissue of the ice layer.As a result, the rime displays lower ice adhesion strength on the substrate surface which is easy to be removed off.The mixed ice including both rime and clear ice is endowed with the characteristics of both the clear ice and the rime.The rime mainly distributes in the forefront of the ice layer, while transparent and dense clear ice mainly exists on both sides with higher ice adhesion strength [19,20].To better cope up with the icing problem faced in the flight process, aircraft icing is divided into four grades, as listed in Table 1.In general, weak ice (micro-ice) does not pose threat to flight safety, unless the icing time is too long.This degree of icing rate is slightly larger than sublimation.Mild ice phenomenon appearing for more than 1 h brings some problems to flight safety.At this point, the necessary de-icing approaches should be used to eliminate potential threats.Strong ice (moderate ice) further increases the risks.In this case, anti/de-icing equipment must be operated to remove the ice from the surface of aircrafts.At the same time, pilots should consider whether to change the flight altitude or course.In the extremely strong ice (severe ice) condition, anti-icing equipment on the aircraft is not able to reduce or control ice accumulations.In this case, pilot must immediately change the course.It is noteworthy that the above-mentioned descriptions are not clear enough, because different types of aircrafts in the same environment have different reactions to the degree of icing.For instance, the mild ice accretion formed on some large aircrafts may be a severe ice problem for a Cessna 150 aircraft.

Anti-Icing and De-Icing Technologies
Facing different icing parts and types, it is urgent to develop some suitable anti-icing and deicing methods.Aircraft anti/de-icing research has become one of the important factors to restrict the development of aviation industry in China [21][22][23].Currently, engineers have adopted various approaches to achieve anti-icing or de-icing behavior, which are mainly divided into two categories.The one is the anti-icing system, which does not allow the complete production of ice on some parts   To better cope up with the icing problem faced in the flight process, aircraft icing is divided into four grades, as listed in Table 1.In general, weak ice (micro-ice) does not pose threat to flight safety, unless the icing time is too long.This degree of icing rate is slightly larger than sublimation.Mild ice phenomenon appearing for more than 1 h brings some problems to flight safety.At this point, the necessary de-icing approaches should be used to eliminate potential threats.Strong ice (moderate ice) further increases the risks.In this case, anti/de-icing equipment must be operated to remove the ice from the surface of aircrafts.At the same time, pilots should consider whether to change the flight altitude or course.In the extremely strong ice (severe ice) condition, anti-icing equipment on the aircraft is not able to reduce or control ice accumulations.In this case, pilot must immediately change the course.It is noteworthy that the above-mentioned descriptions are not clear enough, because different types of aircrafts in the same environment have different reactions to the degree of icing.For instance, the mild ice accretion formed on some large aircrafts may be a severe ice problem for a Cessna 150 aircraft.

Anti-Icing and De-Icing Technologies
Facing different icing parts and types, it is urgent to develop some suitable anti-icing and deicing methods.Aircraft anti/de-icing research has become one of the important factors to restrict the development of aviation industry in China [21][22][23].Currently, engineers have adopted various approaches to achieve anti-icing or de-icing behavior, which are mainly divided into two categories.The one is the anti-icing system, which does not allow the complete production of ice on some parts of the aircraft surface.The other is de-icing system, which allows the accumulation of a small amount of ice, thus the de-icing approaches are definitely required.Common anti/de-icing technologies can be subdivided into mechanical, liquid, and thermal anti/de-icing systems, as shown Figure 3 [24,25].Among them, according to different loading ways, the mechanical de-icing technologies can be divided into pneumatic de-icing and electric-pulse de-icing.Thermal anti-icing can be further divided into electric anti-icing, air-thermal anti-icing, continuous anti-icing, and intermittent de-icing technologies [26].They have different characteristics and working principles, which are discussed in the following section.To better cope up with the icing problem faced in the flight process, aircraft icing is divided into four grades, as listed in Table 1.In general, weak ice (micro-ice) does not pose threat to flight safety, unless the icing time is too long.This degree of icing rate is slightly larger than sublimation.Mild ice phenomenon appearing for more than 1 h brings some problems to flight safety.At this point, the necessary de-icing approaches should be used to eliminate potential threats.Strong ice (moderate ice) further increases the risks.In this case, anti/de-icing equipment must be operated to remove the ice from the surface of aircrafts.At the same time, pilots should consider whether to change the flight altitude or course.In the extremely strong ice (severe ice) condition, anti-icing equipment on the aircraft is not able to reduce or control ice accumulations.In this case, pilot must immediately change the course.It is noteworthy that the above-mentioned descriptions are not clear enough, because different types of aircrafts in the same environment have different reactions to the degree of icing.For instance, the mild ice accretion formed on some large aircrafts may be a severe ice problem for a Cessna 150 aircraft.

Anti-Icing and De-Icing Technologies
Facing different icing parts and types, it is urgent to develop some suitable anti-icing and deicing methods.Aircraft anti/de-icing research has become one of the important factors to restrict the development of aviation industry in China [21][22][23].Currently, engineers have adopted various approaches to achieve anti-icing or de-icing behavior, which are mainly divided into two categories.The one is the anti-icing system, which does not allow the complete production of ice on some parts of the aircraft surface.The other is de-icing system, which allows the accumulation of a small amount of ice, thus the de-icing approaches are definitely required.Common anti/de-icing technologies can be subdivided into mechanical, liquid, and thermal anti/de-icing systems, as shown Figure 3 [24,25].Among them, according to different loading ways, the mechanical de-icing technologies can be divided into pneumatic de-icing and electric-pulse de-icing.Thermal anti-icing can be further divided into electric anti-icing, air-thermal anti-icing, continuous anti-icing, and intermittent de-icing technologies [26].They have different characteristics and working principles, which are discussed in the following section.To better cope up with the icing problem faced in the flight process, aircraft icing is divided into four grades, as listed in Table 1.In general, weak ice (micro-ice) does not pose threat to flight safety, unless the icing time is too long.This degree of icing rate is slightly larger than sublimation.Mild ice phenomenon appearing for more than 1 h brings some problems to flight safety.At this point, the necessary de-icing approaches should be used to eliminate potential threats.Strong ice (moderate ice) further increases the risks.In this case, anti/de-icing equipment must be operated to remove the ice from the surface of aircrafts.At the same time, pilots should consider whether to change the flight altitude or course.In the extremely strong ice (severe ice) condition, anti-icing equipment on the aircraft is not able to reduce or control ice accumulations.In this case, pilot must immediately change the course.It is noteworthy that the above-mentioned descriptions are not clear enough, because different types of aircrafts in the same environment have different reactions to the degree of icing.For instance, the mild ice accretion formed on some large aircrafts may be a severe ice problem for a Cessna 150 aircraft.

Anti-Icing and De-Icing Technologies
Facing different icing parts and types, it is urgent to develop some suitable anti-icing and deicing methods.Aircraft anti/de-icing research has become one of the important factors to restrict the development of aviation industry in China [21][22][23].Currently, engineers have adopted various approaches to achieve anti-icing or de-icing behavior, which are mainly divided into two categories.The one is the anti-icing system, which does not allow the complete production of ice on some parts of the aircraft surface.The other is de-icing system, which allows the accumulation of a small amount of ice, thus the de-icing approaches are definitely required.Common anti/de-icing technologies can be subdivided into mechanical, liquid, and thermal anti/de-icing systems, as shown Figure 3 [24,25].Among them, according to different loading ways, the mechanical de-icing technologies can be divided into pneumatic de-icing and electric-pulse de-icing.Thermal anti-icing can be further divided into electric anti-icing, air-thermal anti-icing, continuous anti-icing, and intermittent de-icing technologies [26].They have different characteristics and working principles, which are discussed in the following section.To better cope up with the icing problem faced in the flight process, aircraft icing is divided into four grades, as listed in Table 1.In general, weak ice (micro-ice) does not pose threat to flight safety, unless the icing time is too long.This degree of icing rate is slightly larger than sublimation.Mild ice phenomenon appearing for more than 1 h brings some problems to flight safety.At this point, the necessary de-icing approaches should be used to eliminate potential threats.Strong ice (moderate ice) further increases the risks.In this case, anti/de-icing equipment must be operated to remove the ice from the surface of aircrafts.At the same time, pilots should consider whether to change the flight altitude or course.In the extremely strong ice (severe ice) condition, anti-icing equipment on the aircraft is not able to reduce or control ice accumulations.In this case, pilot must immediately change the course.It is noteworthy that the above-mentioned descriptions are not clear enough, because different types of aircrafts in the same environment have different reactions to the degree of icing.For instance, the mild ice accretion formed on some large aircrafts may be a severe ice problem for a Cessna 150 aircraft.

Anti-Icing and De-Icing Technologies
Facing different icing parts and types, it is urgent to develop some suitable anti-icing and deicing methods.Aircraft anti/de-icing research has become one of the important factors to restrict the development of aviation industry in China [21][22][23].Currently, engineers have adopted various approaches to achieve anti-icing or de-icing behavior, which are mainly divided into two categories.The one is the anti-icing system, which does not allow the complete production of ice on some parts of the aircraft surface.The other is de-icing system, which allows the accumulation of a small amount of ice, thus the de-icing approaches are definitely required.Common anti/de-icing technologies can be subdivided into mechanical, liquid, and thermal anti/de-icing systems, as shown Figure 3 [24,25].Among them, according to different loading ways, the mechanical de-icing technologies can be divided into pneumatic de-icing and electric-pulse de-icing.Thermal anti-icing can be further divided into electric anti-icing, air-thermal anti-icing, continuous anti-icing, and intermittent de-icing technologies [26].They have different characteristics and working principles, which are discussed in the following section.Facing different icing parts and types, it is urgent to develop some suitable anti-icing and de-icing methods.Aircraft anti/de-icing research has become one of the important factors to restrict the development of aviation industry in China [21][22][23].Currently, engineers have adopted various approaches to achieve anti-icing or de-icing behavior, which are mainly divided into two categories.The one is the anti-icing system, which does not allow the complete production of ice on some parts of the aircraft surface.The other is de-icing system, which allows the accumulation of a small amount of ice, thus the de-icing approaches are definitely required.Common anti/de-icing technologies can be subdivided into mechanical, liquid, and thermal anti/de-icing systems, as shown Figure 3 [24,25].Among them, according to different loading ways, the mechanical de-icing technologies can be divided into pneumatic de-icing and electric-pulse de-icing.Thermal anti-icing can Coatings 2018, 8, 208 5 of 33 be further divided into electric anti-icing, air-thermal anti-icing, continuous anti-icing, and intermittent de-icing technologies [26].They have different characteristics and working principles, which are discussed in the following section.

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Mechanical de-icing: Uses mechanical ways to break the ice and it mainly relies on the expansion pipes which are placed on the aircraft surface.When the aircraft surface is frozen, the accumulated ice can be broken under the assistance of inflated pipes, which then flows away due to the airflow.Furthermore, some electric-pulse technologies are also used to remove ice, which mainly depend on periodic vibration of the icing surface.

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Air thermal anti-icing: It is mainly used to solve the problem of modern transport aircrafts' wing and inlet icing and the heat is created by the engine compressor.When this system works, hot air after pressure regulation enters into the anti-icing pipes in front of the wing and tail.Hot air under certain pressure is squirted from the small pipe hole, finally leading to a high speed and a local low pressure.Air in the cavity is expelled from wingtip after mixing with the hot air, thus preventing ice accumulation on the surface of aircraft wings.

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Liquid de-icing: This process includes continuous spraying of the anti-icing fluids to reduce the freezing point, thus the water droplets do not easily freeze on the surface of aircrafts [27].

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Electric anti/de-icing: Through the resistance heating to prevent surface from icing, this system is commonly used on windshields, propellers, and airspeed tubes [28].This process involves low power loss and uniform heating; therefore, electric-thermal anti-icing is widely used in modern large passenger aircrafts.
Coatings 2018, 8, x FOR PEER REVIEW 5 of 32  Mechanical de-icing: Uses mechanical ways to break the ice and it mainly relies on the expansion pipes which are placed on the aircraft surface.When the aircraft surface is frozen, the accumulated ice can be broken under the assistance of inflated pipes, which then flows away due to the airflow.Furthermore, some electric-pulse technologies are also used to remove ice, which mainly depend on periodic vibration of the icing surface. Air thermal anti-icing: It is mainly used to solve the problem of modern transport aircrafts' wing and inlet icing and the heat is created by the engine compressor.When this system works, hot air after pressure regulation enters into the anti-icing pipes in front of the wing and tail.Hot air under certain pressure is squirted from the small pipe hole, finally leading to a high speed and a local low pressure.Air in the cavity is expelled from wingtip after mixing with the hot air, thus preventing ice accumulation on the surface of aircraft wings. Liquid de-icing: This process includes continuous spraying of the anti-icing fluids to reduce the freezing point, thus the water droplets do not easily freeze on the surface of aircrafts [27]. Electric anti/de-icing: Through the resistance heating to prevent surface from icing, this system is commonly used on windshields, propellers, and airspeed tubes [28].This process involves low power loss and uniform heating; therefore, electric-thermal anti-icing is widely used in modern large passenger aircrafts.Although the above-mentioned active anti-icing technologies are somewhat effective, some necessary anti/de-icing devices in turn increase the weight of aircraft and reduce the fuel efficiency, bringing many negative factors to the designers and manufacturers.Moreover, the safety and reliability of aircraft reduce significantly due to the thermal cycles and mechanical vibration conditions that surface metal suffers [29][30][31].Therefore, based on the requirements of high safety and reliability to aircraft, especially to civil airliners, the traditional active anti/de-icing technologies offer some limitations.Thus, it is necessary to develop a new type of passive anti-icing technology.NASA Glenn Research Center has carried out the basic researches related to aircraft passive anti-icing technology, since as early as 2010.It is expected to use the intrinsic properties of materials to solve the problem of aircraft icing.According to the studies of surface functional modification of metal or polymer materials, the hydrophobic surface is beneficial to achieve the purpose of preventing icing.
The new perspective of passive anti-icing based on the surface modification principle is currently an important direction of development.Through surface modification of the material on the aircraft surface, researchers make the surface hydrophobic, expecting to solve the problem of aircraft icing from the sources, and as far as possible to avoid the conventional anti/de-icing system design of aircrafts [32][33][34][35].The analysis of aircraft icing process described above indicates that aircraft icing occurs mainly through supercooled droplets impacting and wetting the aircraft surface.Then the rapid heat exchange between the droplets and the solid surface causes the droplets to freeze on the surface of the aircraft.Therefore, a functional surface which is similar to lotus leaves can be Although the above-mentioned active anti-icing technologies are somewhat effective, some necessary anti/de-icing devices in turn increase the weight of aircraft and reduce the fuel efficiency, bringing many negative factors to the designers and manufacturers.Moreover, the safety and reliability of aircraft reduce significantly due to the thermal cycles and mechanical vibration conditions that surface metal suffers [29][30][31].Therefore, based on the requirements of high safety and reliability to aircraft, especially to civil airliners, the traditional active anti/de-icing technologies offer some limitations.Thus, it is necessary to develop a new type of passive anti-icing technology.NASA Glenn Research Center has carried out the basic researches related to aircraft passive anti-icing technology, since as early as 2010.It is expected to use the intrinsic properties of materials to solve the problem of aircraft icing.According to the studies of surface functional modification of metal or polymer materials, the hydrophobic surface is beneficial to achieve the purpose of preventing icing.
The new perspective of passive anti-icing based on the surface modification principle is currently an important direction of development.Through surface modification of the material on the aircraft surface, researchers make the surface hydrophobic, expecting to solve the problem of aircraft icing from the sources, and as far as possible to avoid the conventional anti/de-icing system design of aircrafts [32][33][34][35].The analysis of aircraft icing process described above indicates that aircraft icing occurs mainly through supercooled droplets impacting and wetting the aircraft surface.Then the rapid heat exchange between the droplets and the solid surface causes the droplets to freeze on the surface of the aircraft.Therefore, a functional surface which is similar to lotus leaves can be fabricated on aluminum, titanium alloys, and other substrates (see Figure 4) by surface modification technologies.In this case, the water droplets cannot wet the solid surface; therefore, they get rapidly fallen off due to their own gravity and airflow [36][37][38].Even if the droplets are frozen, the contact area between the solid surface and the ice is reduced, which leads to a lower ice adhesion because of this special non-wetting condition.Therefore, the ice easily falls down under the influence of the high-speed airflow [39,40].Undeniably, a lot more systematic explorations are highly demanded to design and fabricate a functional superhydrophobic coating which is similar to the lotus leaf surface to meet the aircraft service conditions.
Coatings 2018, 8, x FOR PEER REVIEW 6 of 32 fabricated on aluminum, titanium alloys, and other substrates (see Figure 4) by surface modification technologies.In this case, the water droplets cannot wet the solid surface; therefore, they get rapidly fallen off due to their own gravity and airflow [36][37][38].Even if the droplets are frozen, the contact area between the solid surface and the ice is reduced, which leads to a lower ice adhesion because of this special non-wetting condition.Therefore, the ice easily falls down under the influence of the high-speed airflow [39,40].Undeniably, a lot more systematic explorations are highly demanded to design and fabricate a functional superhydrophobic coating which is similar to the lotus leaf surface to meet the aircraft service conditions.

Surface Wettability for Superhydrophobicity
When liquid and solid contact with each other, the liquid expands outwards along the solid surface, and the original liquid-gas and solid-gas interfaces in the system are gradually replaced by the new type of solid-liquid contact interface, i.e., wettability [41,42].Wettability is one of the most important characteristics of solid surface, and it can affect many physical and chemical processes, such as adhesion, adsorption, and lubrication.There are two main factors that affect the surface wettability: surface compositions that control surface free energy and microstructure that affects microscopic roughness [43,44].Lower surface free energy can induce a smaller solid-liquid contact interface with a certain extent of non-wettability [45,46].According to literature, hydrogen atoms in the polymer hydrocarbons are replaced by some low-energy atoms in favor of realizing the regulations of surface free energy [47].It has been found that the use of fluorine atoms to replace hydrogen atoms can effectively reduce the surface free energy of polymers, and more fluorine atoms can cause lower surface free energy [48].Nishino et al. found that the lowest surface free energy was about 6.7 mJ m −2 , and it was obtained using seventeen fluorine atoms to replace the silane atoms [49].On such a smooth surface with the lowest surface free energy, water droplets still wet the surface with a maximum contact angle of ~120° [50].Therefore, the subsequent researches mainly focus on the control of microstructure to further increase the surface non-wettability with higher water contact angle [51].In this situation, it is necessary to discuss the main wetting theory models for the microscopic rough surface.

Wetting on the Ideally Smooth Surface-Young's Equation and Contact Angle
Wetting is the result of the stability of three-phase (gas, liquid, and solid) interfaces.Liquid on a given solid surface induces the formation of a stable system, and the tangents to the interfaces at the three-phase intersection point produce an angle θ (as shown in Figure 5), namely, contact angle.In the early nineteenth century, Young considered that the contact angle θ had a close relationship with the three-phase interfacial tensions, and then Dupre further verified and proposed the famous Young's equation [52]:

Surface Wettability for Superhydrophobicity
When liquid and solid contact with each other, the liquid expands outwards along the solid surface, and the original liquid-gas and solid-gas interfaces in the system are gradually replaced by the new type of solid-liquid contact interface, i.e., wettability [41,42].Wettability is one of the most important characteristics of solid surface, and it can affect many physical and chemical processes, such as adhesion, adsorption, and lubrication.There are two main factors that affect the surface wettability: surface compositions that control surface free energy and microstructure that affects microscopic roughness [43,44].Lower surface free energy can induce a smaller solid-liquid contact interface with a certain extent of non-wettability [45,46].According to literature, hydrogen atoms in the polymer hydrocarbons are replaced by some low-energy atoms in favor of realizing the regulations of surface free energy [47].It has been found that the use of fluorine atoms to replace hydrogen atoms can effectively reduce the surface free energy of polymers, and more fluorine atoms can cause lower surface free energy [48].Nishino et al. found that the lowest surface free energy was about 6.7 mJ m −2 , and it was obtained using seventeen fluorine atoms to replace the silane atoms [49].On such a smooth surface with the lowest surface free energy, water droplets still wet the surface with a maximum contact angle of ~120 • [50].Therefore, the subsequent researches mainly focus on the control of microstructure to further increase the surface non-wettability with higher water contact angle [51].In this situation, it is necessary to discuss the main wetting theory models for the microscopic rough surface.

Wetting on the Ideally Smooth Surface-Young's Equation and Contact Angle
Wetting is the result of the stability of three-phase (gas, liquid, and solid) interfaces.Liquid on a given solid surface induces the formation of a stable system, and the tangents to the interfaces at the three-phase intersection point produce an angle θ (as shown in Figure 5), namely, contact angle.In the early nineteenth century, Young considered that the contact angle θ had a close relationship with the Coatings 2018, 8, 208 7 of 33 three-phase interfacial tensions, and then Dupre further verified and proposed the famous Young's equation [52]: where γ sl is the solid-liquid interface tension, γ lg is liquid-gas interface tension, and γ gs is the gas-solid interface tension.The Young's contact angle is the equilibrium contact angle that a liquid makes with an ideal solid surface.For droplets or surfaces with very small radii of curvature deposited on the ideal surfaces, the equilibrium contact angle may be different due to line tension [53].Moreover, the Young's contact angle depends only on the physicochemical nature of the three phases and it is independent of the droplet shape and external field under very general assumptions.where γsl is the solid-liquid interface tension, γlg is liquid-gas interface tension, and γgs is the gassolid interface tension.The Young's contact angle is the equilibrium contact angle that a liquid makes with an ideal solid surface.For droplets or surfaces with very small radii of curvature deposited on the ideal surfaces, the equilibrium contact angle may be different due to line tension [53].Moreover, the Young's contact angle depends only on the physicochemical nature of the three phases and it is independent of the droplet shape and external field under very general assumptions.Young's equation is the basis for the study of solid wettability, and the wetting degree can be effectively expressed in terms of the contact angle [54]:  θ = 0: Completely hydrophilic, the reference droplet spreads completely on the solid surface. 0 < θ < 90°: Hydrophilic, smaller value of θ induces higher hydrophilicity. 90° < θ < 180°: Hydrophobic, the solid surface gets partially wetted by the reference droplets.
Moreover, if the value of θ > 150°, then the surface is considered to be superhydrophobic. θ = 180°: Completely hydrophobic, the liquid is spherical on the solid surface.
It is noteworthy that Young's equation is applicable to the homogeneous chemical compositions and uniform and isotropic ideal surfaces, because in this case the liquid can form stable wetting contact interfaces.

Wetting on Non-Ideal Surfaces-Wenzel Equation
The actual surface of solid is often rough and uneven, and the chemical compositions are also diverse; therefore the real contact angle of water droplets on solid surface is different from the Young's contact angle.To better analyze the wettability of non-ideal rough surface, the apparent contact angle θ* is introduced, and it is usually measured in the actual situations [55].Wenzel made an assumption that liquid on the microscopic rough surface can always fill the rough structure on the non-ideal surface (see Figure 6a) [56].Through investigating the energy change of the droplets during the wetting process on the rough surface [57], Wenzel considered that the apparent contact angle θ* exhibits the following relationship with the Young's contact angle θ: This formula is the famous Wenzel wetting equation, where r is defined as the roughness factor, and mainly refers to the ratio of actual solid-liquid interface contact area to the apparent solid-liquid interface contact area, and obviously 1 r  .Based on the Wenzel wetting equation, a series of wetting phenomena were well explained at that time.Under the hydrophilic condition (θ < 90°), the apparent contact angle θ* decreases with the increase in the roughness, and the surface is more hydrophilic.In contrast, under the hydrophobic condition, the apparent contact angle θ* increases with the increase in the roughness, and the surface exhibits higher hydrophobicity.Therefore, the Wenzel wetting equation indicates an important theoretical direction for the design of special superhydrophobic coatings.It reveals that the microscopic rough structure can effectively control the apparent contact angle θ*, and change the wetting performance of solid surface.Young's equation is the basis for the study of solid wettability, and the wetting degree can be effectively expressed in terms of the contact angle [54]: It is noteworthy that Young's equation is applicable to the homogeneous chemical compositions and uniform and isotropic ideal surfaces, because in this case the liquid can form stable wetting contact interfaces.

Wetting on Non-Ideal Surfaces-Wenzel Equation
The actual surface of solid is often rough and uneven, and the chemical compositions are also diverse; therefore the real contact angle of water droplets on solid surface is different from the Young's contact angle.To better analyze the wettability of non-ideal rough surface, the apparent contact angle θ* is introduced, and it is usually measured in the actual situations [55].Wenzel made an assumption that liquid on the microscopic rough surface can always fill the rough structure on the non-ideal surface (see Figure 6a) [56].Through investigating the energy change of the droplets during the wetting process on the rough surface [57], Wenzel considered that the apparent contact angle θ* exhibits the following relationship with the Young's contact angle θ: This formula is the famous Wenzel wetting equation, where r is defined as the roughness factor, and mainly refers to the ratio of actual solid-liquid interface contact area to the apparent solid-liquid interface contact area, and obviously r ≥ 1.Based on the Wenzel wetting equation, a series of wetting phenomena were well explained at that time.Under the hydrophilic condition (θ < 90 • ), the apparent contact angle θ* decreases with the increase in the roughness, and the surface is more hydrophilic.In contrast, under the hydrophobic condition, the apparent contact angle θ* increases with the increase in the roughness, and the surface exhibits higher hydrophobicity.Therefore, the Wenzel wetting equation indicates an important theoretical direction for the design of special superhydrophobic coatings.It reveals that the microscopic rough structure can effectively control the apparent contact angle θ*, and change the wetting performance of solid surface.

Wetting on Non-Ideal Surfaces-Cassie-Baxter Equation
Wenzel equation well reveals the relationship between the apparent contact angle θ* on the rough surface and Young's contact angle θ.However, it has been found that there are still many wetting phenomena in nature such as the rolling water droplets on lotus leaf surface and the rapid dropping of water from the ladybug's back cover, which cannot be explained by Wenzel equation [58][59][60][61].Cassie and Baxter thus further expanded the Wenzel equation, and they considered that Wenzel equation was suitable for hydrophilic and partially hydrophobic materials, yet for some superhydrophobic phenomena (the apparent contact angle greater than 150° and the roll angle or contact angle hysteresis less than 10°), Wenzel equation was no longer applicable.Cassie and Baxter agreed that the contact interface between droplet and some superhydrophobic surface was not a single solid-liquid fully infiltrated contact interface.However, it was a type of composite phase contact interface of solid-liquid and gas-liquid contact interfaces which exist on the contact interface at the same time, as shown in Figure 6b.Mathematical relationship between the apparent contact angle θ* and the Young's contact angle θ1 and θ2 can be given by the following equation: where θ1 and θ2 are the Young's contact angles of the liquid droplet on the solid and gas, respectively, f1 and f2 are the percent for the solid-liquid contact area and the gas-liquid contact area in apparent contact area, and f1 + f2 = 1.The Young's contact angle θ2 can be considered to be 180°, thus Equation (3) becomes: which explains some special non-wetting superhydrophobic phenomena.Some microscopic structures on the surface of hydrophobic materials can effectively entrap the air pockets underneath the liquid droplets, so that droplets cannot infiltrate into the internal microstructure.In this case, the apparent solid-liquid contact interface is actually composed of solid-liquid and gas-liquid interfaces.
The smaller the proportion of actual solid-liquid contact area in apparent contact area, the higher the value of apparent contact angle θ* is induced.The droplets are hovering on the solid surface, achieving superhydrophobicity [62][63][64][65].

Relation between Wenzel Equation and Cassie-Baxter Equation
It has been demonstrated that apparent contact angle θ* is also insensitive to the external fields.Moreover, it is noteworthy that the use of the notion "apparent contact angle" (for Wenzel and Cassie-Baxter wetting equations) is justified on the scale much larger than the characteristic scale of the microscopic structure roughness [66].It is reasonable to assume that the apparent contact angle on gravity measured in experiments is due to the phenomenon of the hysteresis of the contact angle.The Young's contact angle should be defined as the angle supplying minimum to the free energy of a solid/liquid/air system.
Both Wenzel and Cassie-Baxter equations can explain the effect of surface textures on nonwettability; however, the two internal mechanisms are different.Wenzel wetting theory determines that the contact between solid and liquid is a complete infiltration form.Based on the microstructure design, the increased actual contact area of solid-liquid can effectively enhance the non-wetting

Wetting on Non-Ideal Surfaces-Cassie-Baxter Equation
Wenzel equation well reveals the relationship between the apparent contact angle θ* on the rough surface and Young's contact angle θ.However, it has been found that there are still many wetting phenomena in nature such as the rolling water droplets on lotus leaf surface and the rapid dropping of water from the ladybug's back cover, which cannot be explained by Wenzel equation [58][59][60][61].Cassie and Baxter thus further expanded the Wenzel equation, and they considered that Wenzel equation was suitable for hydrophilic and partially hydrophobic materials, yet for some superhydrophobic phenomena (the apparent contact angle greater than 150 • and the roll angle or contact angle hysteresis less than 10 • ), Wenzel equation was no longer applicable.Cassie and Baxter agreed that the contact interface between droplet and some superhydrophobic surface was not a single solid-liquid fully infiltrated contact interface.However, it was a type of composite phase contact interface of solid-liquid and gas-liquid contact interfaces which exist on the contact interface at the same time, as shown in Figure 6b.Mathematical relationship between the apparent contact angle θ* and the Young's contact angle θ 1 and θ 2 can be given by the following equation: where θ 1 and θ 2 are the Young's contact angles of the liquid droplet on the solid and gas, respectively, f 1 and f 2 are the percent for the solid-liquid contact area and the gas-liquid contact area in apparent contact area, and f 1 + f 2 = 1.The Young's contact angle θ 2 can be considered to be 180 which explains some special non-wetting superhydrophobic phenomena.Some microscopic structures on the surface of hydrophobic materials can effectively entrap the air pockets underneath the liquid droplets, so that droplets cannot infiltrate into the internal microstructure.In this case, the apparent solid-liquid contact interface is actually composed of solid-liquid and gas-liquid interfaces.The smaller the proportion of actual solid-liquid contact area in apparent contact area, the higher the value of apparent contact angle θ* is induced.The droplets are hovering on the solid surface, achieving superhydrophobicity [62][63][64][65].

Relation between Wenzel Equation and Cassie-Baxter Equation
It has been demonstrated that apparent contact angle θ* is also insensitive to the external fields.Moreover, it is noteworthy that the use of the notion "apparent contact angle" (for Wenzel and Cassie-Baxter wetting equations) is justified on the scale much larger than the characteristic scale of the microscopic structure roughness [66].It is reasonable to assume that the apparent contact angle on gravity measured in experiments is due to the phenomenon of the hysteresis of the contact angle.The Young's contact angle should be defined as the angle supplying minimum to the free energy of a solid/liquid/air system.
Both Wenzel and Cassie-Baxter equations can explain the effect of surface textures on non-wettability; however, the two internal mechanisms are different.Wenzel wetting theory determines that the contact between solid and liquid is a complete infiltration form.Based on the microstructure design, the increased actual contact area of solid-liquid can effectively enhance the non-wetting ability of solid surface with a maximum apparent contact angle θ* of ~150 • [67,68].Cassie-Baxter wetting theory holds that the special microstructure entraps a large amount of air pockets underneath liquid droplets, therefore the contact type between solid and liquid is composite contact.The actual solid-liquid contact area is significantly reduced, which leads to the increase in the apparent contact angle θ* to 150 • , or even beyond [69].Furthermore, the difference between both the wetting models can induce more distinguishing moving characteristics of liquid droplets on the solid surfaces.

Contact Angle Hysteresis and Rolling Angle
Although Furmidge reported the importance of the studies on the moving characteristics of droplets on solid surfaces [70], during a long period of time the study on superhydrophobic coatings still focused on enhancement of apparent contact angle.Contact angle hysteresis reflects the motion capacity of droplets on the solid surfaces [71].When the contact angle hysteresis is less than 10 • , the droplets are easily removed away from the surface.Contact angle hysteresis ∆θ is the difference value between the advanced contact angle θ A and the receding contact angle θ R .When the reference droplet volume is slowly increased until the three-phase contact line moves, the maximum apparent contact angle is called the advancing contact angle θ A .In contrast, the minimum contact angle is called the receding contact angle θ R .
According to the theory of Wenzel wetting equation, although the contact angle of liquid droplet can reach 150 • , liquid droplet does not roll easily off the surface due to high viscosity.In this case, the contact angle hysteresis is very high.Following Cassie-Baxter wetting equation theory, the apparent contact angle of droplets can not only reach 150 • , but also go beyond, and the droplets can roll freely on the solid surface with smaller contact angle hysteresis [72].The rolling angle α is used as another parameter to characterize the droplet rolling characteristics on hydrophobic surface.The minimum inclination angle of solid surface can make the liquid begin to roll off, wherein the inclination angle is called the rolling angle.The rolling angle is related to several factors such as static contact angle, contact angle hysteresis, and droplet size [73,74].Wolfram proposed a rolling angle equation to describe the rolling ability of droplets on solid surface [75] as follows: where l is the radius of the contact area between droplet and solid surface, m is the mass of the droplet, g is the acceleration due to gravity, and k is the proportionality constant.Subsequently, Murase et al. further arranged Equation (5) to describe the relationship between the rolling angle and the contact angle [76] as follows: Equations ( 6)-( 8) are substituted into Equation (5) to obtain the following relations: Coatings 2018, 8, 208 10 of 33 where ρ is the density of droplets, R and R are the radii of droplet, while m is the quality.Clearly, we can calculate the proportional constant k on any flat surface, and confirm that coefficient k exhibits the relationship with the interface energy between solid and liquid.Calculation of the transition energy barrier between Wenzel wetting model and Cassie-Baxter wetting model indicates that water droplets in Wenzel wetting model have higher rolling angle, while water droplets in Cassie-Baxter wetting model can easily roll with a smaller rolling angle.Thus, contact angle hysteresis bears certain relationship with the rolling angle, yet some obvious difference is accompanied.It is more meaningful to use rolling angle to describe the roll characteristics of droplets on solid surfaces, while contact angle hysteresis can well reflect the sliding or viscous characteristics of droplets on solid surface [77].Therefore, it is of great significance to investigate the kinematic characteristics of water droplets on solid surfaces under both the wetting theories to achieve the objective of designing special function modification on solid surfaces.

Critical Conditions for Wetting State Transition
Dettre and Johnson [78] simulated the microstructure surface based on Wenzel equation and Cassie-Baxter equation, and found the existence of a critical value for the roughness factor of solid surfaces.Beyond this threshold, the wettability model changes from Wenzel wetting model to Cassie-Baxter wetting model.With the greater roughness factor, the more stable Cassie-Baxter wetting state with enhanced non-wettability is obtained [79].Based on the fact that the micro-nanoscale composite structure on the surface of lotus leaf causes a high apparent contact angle and a very low contact angle hysteresis (see Figure 7), the structural effects of lotus leaf surface and the bionic preparation techniques have attracted significant attention [37,[80][81][82], which makes the research of the intrinsic relationship between special non-wettability and microstructure to have a leap-forward development.It is well known that on a rough surface containing microscale structure, the main contact interface between droplet and solid surface is in infiltration state, and Wenzel equation theory is applicable [83].According to the continuous optimization of single-stage structure scale (a larger aspect ratio), it is also possible to geometrically increase the apparent contact angle of droplets, which even reach 160 • .When the surface has a micro-nanoscale composite structure (even if the contact interface is still in infiltration type under the condition of single microscale structures), the overall contact interface between composite structure and droplets is still a composite type, and Cassie-Baxter equation theory is applicable in this case [84].Owing to the induction of the secondary nanostructures, the infiltration contact state of the primary structure is eliminated.Consequently, the micro-nanoscale structure surface is still in a non-infiltration contact state with a high apparent contact angle and a very low contact angle hysteresis [85][86][87][88].
Coatings 2018, 8, x FOR PEER REVIEW 10 of 32 relationship with the rolling angle, yet some obvious difference is accompanied.It is more meaningful to use rolling angle to describe the roll characteristics of droplets on solid surfaces, while contact angle hysteresis can well reflect the sliding or viscous characteristics of droplets on solid surface [77].Therefore, it is of great significance to investigate the kinematic characteristics of water droplets on solid surfaces under both the wetting theories to achieve the objective of designing special function modification on solid surfaces.

Critical Conditions for Wetting State Transition
Dettre and Johnson [78] simulated the microstructure surface based on Wenzel equation and Cassie-Baxter equation, and found the existence of a critical value for the roughness factor of solid surfaces.Beyond this threshold, the wettability model changes from Wenzel wetting model to Cassie-Baxter wetting model.With the greater roughness factor, the more stable Cassie-Baxter wetting state with enhanced non-wettability is obtained [79].Based on the fact that the micro-nanoscale composite structure on the surface of lotus leaf causes a high apparent contact angle and a very low contact angle hysteresis (see Figure 7), the structural effects of lotus leaf surface and the bionic preparation techniques have attracted significant attention [37,[80][81][82], which makes the research of the intrinsic relationship between special non-wettability and microstructure to have a leap-forward development.It is well known that on a rough surface containing microscale structure, the main contact interface between droplet and solid surface is in infiltration state, and Wenzel equation theory is applicable [83].According to the continuous optimization of single-stage structure scale (a larger aspect ratio), it is also possible to geometrically increase the apparent contact angle of droplets, which even reach 160°.When the surface has a micro-nanoscale composite structure (even if the contact interface is still in infiltration type under the condition of single microscale structures), the overall contact interface between composite structure and droplets is still a composite type, and Cassie-Baxter equation theory is applicable in this case [84].Owing to the induction of the secondary nanostructures, the infiltration contact state of the primary structure is eliminated.Consequently, the micro-nanoscale structure surface is still in a non-infiltration contact state with a high apparent contact angle and a very low contact angle hysteresis [85][86][87][88].Therefore, superhydrophobic surface gradually develops with the construction of microscopic structures from single-stage microscale structure to micro-nanoscale composite structure.The secondary nanostructure can easily eliminate the infiltration contact state caused by the primary microscale structure, leading to greater significance to reduce the contact angle hysteresis and guiding the direction of manufacturing microscopic structures for the ultra-hydrophobic materials [89,90].Therefore, superhydrophobic surface gradually develops with the construction of microscopic structures from single-stage microscale structure to micro-nanoscale composite structure.The secondary nanostructure can easily eliminate the infiltration contact state caused by the primary microscale structure, leading to greater significance to reduce the contact angle hysteresis and guiding the direction of manufacturing microscopic structures for the ultra-hydrophobic materials [89,90].

Preparation Techniques of Superhydrophobic Coatings
According to the above-mentioned analyses, superhydrophobicity is mainly dependent on surface free energy and microscopic rough structures.There are following two main strategies to reduce surface free energy: one is the use of hydrophobic materials with low surface free energy as matrix materials, such as polytetrafluoroethylene (PTFE), etc.The another one is to utilize the matters with low surface free energy to modify solid materials [91,92].The preparation of superhydrophobic coatings still focuses on the construction of suitable microscopic structures.Some current preparation techniques are discussed in detail in the following sections.

Lithography Technique
Advanced printing technologies, such as X-ray exposure technology, electron beam exposure technology, and lithography development technology are gradually applied to the construction of microstructures.Their main advantage includes the design and manufacture of regular structures on the surface of solid materials according to the experimental requirements [93].Angelo et al. reported a type of regular structure on poly methyl methacrylate (PMMA) sheet to produce superhydrophobicity, and the photolithography and ion etching techniques were effectively applied [94].The resultant sample surface displayed higher non-wettability with the apparent contact angle reaching 171 • and contact angle hysteresis as low as 5 • .Furthermore, Hee-Tak Kim group proposed a structural shape based on the vertical movement of azo-material driven by directional photofluidization imprint lithography (DPIL) [95], as shown in Figure 8.The technique provides a facile approach to fabricate complex hierarchical micro-nanostructures.By performing two-step light exposure process on a stack of the PDMS mold and prestructured PDO 3 film, a range of patterns with sizes of features from micrometers to 100 nm was successfully fabricated on a large scale.The results showed that the dual-scale micro-nanostructures exhibited excellent superhydrophobic property, and endowed with great self-cleaning function.

Preparation Techniques of Superhydrophobic Coatings
According to the above-mentioned analyses, superhydrophobicity is mainly dependent on surface free energy and microscopic rough structures.There are following two main strategies to reduce surface free energy: one is the use of hydrophobic materials with low surface free energy as matrix materials, such as polytetrafluoroethylene (PTFE), etc.The another one is to utilize the matters with low surface free energy to modify solid materials [91,92].The preparation of superhydrophobic coatings still focuses on the construction of suitable microscopic structures.Some current preparation techniques are discussed in detail in the following sections.

Lithography Technique
Advanced printing technologies, such as X-ray exposure technology, electron beam exposure technology, and lithography development technology are gradually applied to the construction of microstructures.Their main advantage includes the design and manufacture of regular structures on the surface of solid materials according to the experimental requirements [93].Angelo et al. reported a type of regular structure on poly methyl methacrylate (PMMA) sheet to produce superhydrophobicity, and the photolithography and ion etching techniques were effectively applied [94].The resultant sample surface displayed higher non-wettability with the apparent contact angle reaching 171° and contact angle hysteresis as low as 5°.Furthermore, Hee-Tak Kim group proposed a structural shape based on the vertical movement of azo-material driven by directional photofluidization imprint lithography (DPIL) [95], as shown in Figure 8.The technique provides a facile approach to fabricate complex hierarchical micro-nanostructures.By performing two-step light exposure process on a stack of the PDMS mold and prestructured PDO 3 film, a range of patterns with sizes of features from micrometers to 100 nm was successfully fabricated on a large scale.The results showed that the dualscale micro-nanostructures exhibited excellent superhydrophobic property, and endowed with great self-cleaning function.

Phase Separation Technique
Phase separation technique is a low-cost method to prepare superhydrophobic coatings.In this process, the mixture containing two phases are separated into two single phases via heating or cooling at the same time to produce superhydrophobic surface with micro-nanoscale composite structures.Typically, addition of insoluble solvents into the polymer solution can provide polymer with aggregated and non-aggregated phases [96,97].The continuous film with porous structures is produced through the chemical and physical interactions.Kato and Sato constructed a superhydrophobic coating with micro-nanoscale structure, with a higher apparent contact angle of 163 • by the ultraviolet (UV)-induced phase separation technique [98].This method significantly simplifies the preparation technology of superhydrophobic coatings, and is verified with a certain degree of universality on the transparent glass substrate and the fabric surface [99].Xiong et al. successfully prepared breathable superhydrophobic coating by one step spraying technique and non-solvent vapor induced phase separation [100], as shown in Figure 9.The addition of inorganic silica (SiO 2 ) nanoparticles into the polymer solution significantly improved the superhydrophobicity and strengthened the mechanical properties after being thermally treated.It was observed that apparent contact angle on the composite coatings was greater than 160.1 • ± 2.2 • , when the mass ratio of with polymer to hydrophobically modified fumed silica (HMFS) nanoparticles in mixtures was 15:4.Moreover, after the acid and base treatments, apparent contact angle remained greater than 150 • , which is mainly attributed to the superhydrophobicity, leading to the repulsion of aqueous media away from the coatings.Therefore, such coatings have great potential for practical applications.

Phase Separation Technique
Phase separation technique is a low-cost method to prepare superhydrophobic coatings.In this process, the mixture containing two phases are separated into two single phases via heating or cooling at the same time to produce superhydrophobic surface with micro-nanoscale composite structures.Typically, addition of insoluble solvents into the polymer solution can provide polymer with aggregated and non-aggregated phases [96,97].The continuous film with porous structures is produced through the chemical and physical interactions.Kato and Sato constructed a superhydrophobic coating with micro-nanoscale structure, with a higher apparent contact angle of 163° by the ultraviolet (UV)-induced phase separation technique [98].This method significantly simplifies the preparation technology of superhydrophobic coatings, and is verified with a certain degree of universality on the transparent glass substrate and the fabric surface [99].Xiong et al. successfully prepared breathable superhydrophobic coating by one step spraying technique and non-solvent vapor induced phase separation [100], as shown in Figure 9.The addition of inorganic silica (SiO2) nanoparticles into the polymer solution significantly improved the superhydrophobicity and strengthened the mechanical properties after being thermally treated.It was observed that apparent contact angle on the composite coatings was greater than 160.1° ± 2.2°, when the mass ratio of with polymer to hydrophobically modified fumed silica (HMFS) nanoparticles in mixtures was 15:4.Moreover, after the acid and base treatments, apparent contact angle remained greater than 150°, which is mainly attributed to the superhydrophobicity, leading to the repulsion of aqueous media away from the coatings.Therefore, such coatings have great potential for practical applications.Coatings 2018, 8, 208 13 of 33

Templating Processing Technique
Templating processing strategy mainly refers to the fabrication of the superhydrophobic coatings from the harden separation of the original rough structural material.This method is mainly used to copy the natural animal skin and plant leaves to design micro-textures, and then prepare the superhydrophobic coatings/surfaces [101].Hou et al. copied the surface microstructure of a filter paper through the template processing technology and prepared superhydrophobic PTFE surface [102].Vogel et al. used colloidal self-assembly and templating methods to create two-dimensional nanopore arrays with precisely adjustable re-entrant curvatures (Figure 10a) [103].The simple nanoscale architecture, prepared by backfilling a colloidal monolayer with a variation of concentration of sol-gel precursor, enables us to rationally tailor the macroscopic wetting properties, even for low-surface-tension liquids (as shown in Figure 10b,c).Compared to a flat reference surface with similar surface chemical compositions, the contact angles of liquids on the surface with open structures strongly increase and exceed 100 • .Figure 10f exhibits the continuous increase in the contact angle with the change of liquid surface tension from 21.7 mN m −1 (octane) to 72.8 mN m −1 (water).

Templating Processing Technique
Templating processing strategy mainly refers to the fabrication of the superhydrophobic coatings from the harden separation of the original rough structural material.This method is mainly used to copy the natural animal skin and plant leaves to design micro-textures, and then prepare the superhydrophobic coatings/surfaces [101].Hou et al. copied the surface microstructure of a filter paper through the template processing technology and prepared superhydrophobic PTFE surface [102].Vogel et al. used colloidal self-assembly and templating methods to create two-dimensional nanopore arrays with precisely adjustable re-entrant curvatures (Figure 10a) [103].The simple nanoscale architecture, prepared by backfilling a colloidal monolayer with a variation of concentration of sol-gel precursor, enables us to rationally tailor the macroscopic wetting properties, even for low-surface-tension liquids (as shown in Figure 10b,c).Compared to a flat reference surface with similar surface chemical compositions, the contact angles of liquids on the surface with open structures strongly increase and exceed 100°.Figure 10f exhibits the continuous increase in the contact angle with the change of liquid surface tension from 21.7 mN m −1 (octane) to 72.8 mN m −1 (water).

Etching Technique
Etching technique mainly refers to the method involving the use of laser, plasma, electrochemical, and chemical ways to manufacture large-area rough microstructure [104][105][106][107]. Based on the urgent requirements for metal surface modification, it is promising to use the etching method on metal surface to build micro-nanoscale structures and obtain superhydrophobicity.Wang et al. constructed the micro-nanoscale composite structures on metal surface by the combined template and plasma etching technique, and obtained a superhydrophobic surface with an apparent contact angle reaching 153° after low surface energy modification [108].Liu's group reported an easy method to prepare superhydrophobic micro-nanostructures on brass surfaces via micro-etching technology [109], and the surface energy was reduced via stearic acid modification (see Figure 11a).Under the microetching operation of 6 min, the modified sample surface exhibited the excellent superhydrophobicity with higher contact angle of 152.4° and lower slide angle of 5.3°.This was mainly attributed to more

Etching Technique
Etching technique mainly refers to the method involving the use of laser, plasma, electrochemical, and chemical ways to manufacture large-area rough microstructure [104][105][106][107]. Based on the urgent requirements for metal surface modification, it is promising to use the etching method on metal surface to build micro-nanoscale structures and obtain superhydrophobicity.Wang et al. constructed the micro-nanoscale composite structures on metal surface by the combined template and plasma etching technique, and obtained a superhydrophobic surface with an apparent contact angle reaching 153 • after low surface energy modification [108].Liu's group reported an easy method to prepare superhydrophobic micro-nanostructures on brass surfaces via micro-etching technology [109], and the Coatings 2018, 8, 208 14 of 33 surface energy was reduced via stearic acid modification (see Figure 11a).Under the micro-etching operation of 6 min, the modified sample surface exhibited the excellent superhydrophobicity with higher contact angle of 152.4 • and lower slide angle of 5.3 • .This was mainly attributed to more air pockets entrapped easily in the spaces between the clusters due to numerous hemispherical dandelion-like clusters with an average size of 10 µm.However, the surface required the improvement in its thermal stability for its application in strong thermal environments.Furthermore, the as-prepared sample was verified to possess an excellent self-cleaning ability, wherein the carbon dust was easily removed away from the surface under the action of rolling water drops.
Coatings 2018, 8, x FOR PEER REVIEW 14 of 32 air pockets entrapped easily in the spaces between the clusters due to numerous hemispherical dandelion-like clusters with an average size of 10 μm.However, the surface required the improvement in its thermal stability for its application in strong thermal environments.Furthermore, the asprepared sample was verified to possess an excellent self-cleaning ability, wherein the carbon dust was easily removed away from the surface under the action of rolling water drops.

Sol-Gel Technique
Sol-gel technique has been known for a long time, and it is mainly used to prepare nano-particles or nano-film materials.In recent years, sol-gel technology has also been gradually utilized for the fabrication of superhydrophobic coatings for applications in aviation and shipbuilding [110,111].Lu et al. prepared superhydrophobic SiO2 films on the surface of aluminum alloy by the pulling method [112], where SiO2 nanoparticles were added into a mixture of C2H12N4 and Zn(NO3)2•6H2O to prepare sol.Dong and Ha fabricated superhydrophobic polysilsesquioxane/polystyrene microspheres with flower-like structures via a cetyltrimethyl ammonium bromide-assisted sol-gel approach [113].The structure produced by nanoparticles on microcores could be controlled from raspberry-to flowerlike morphology precisely through adjusting the content of silane precursor.Miraculously, owing to the hierarchical particulate films with the initial ethyl groups, hierarchical microspheres exhibited good superhydrophobic properties without any surface modification after assembling these on glass substrates in Figure 12.

Sol-Gel Technique
Sol-gel technique has been known for a long time, and it is mainly used to prepare nano-particles or nano-film materials.In recent years, sol-gel technology has also been gradually utilized for the fabrication of superhydrophobic coatings for applications in aviation and shipbuilding [110,111].Lu et al. prepared superhydrophobic SiO 2 films on the surface of aluminum alloy by the pulling method [112], where SiO 2 nanoparticles were added into a mixture of C 2 H 12 N 4 and Zn(NO 3 ) 2 •6H 2 O to prepare sol.Dong and Ha fabricated superhydrophobic polysilsesquioxane/polystyrene microspheres with flower-like structures via a cetyltrimethyl ammonium bromide-assisted sol-gel approach [113].The structure produced by nanoparticles on microcores could be controlled from raspberry-to flower-like morphology precisely through adjusting the content of silane precursor.Miraculously, owing to the hierarchical particulate films with the initial ethyl groups, hierarchical microspheres exhibited good superhydrophobic properties without any surface modification after assembling these on glass substrates in Figure 12.

Electrostatic Spinning Technique
Electrostatic spinning technique is a new method employed for the fabrication of superhydrophobic surface [114].Ma et al. used electrostatic spinning technique to prepare polycaprolactone polymer layer on the substrate surface [115], and then through the chemical vapor deposition method, modified the formed microstructure to obtain superhydrophobic surface with the apparent contact angle reaching 175° and rolling angle being only 2.5°.It is noteworthy that controlling the membrane properties, such as hydrophobicity and hydrophilicity, is critical to achieve desirable macroscopic performance.During a long period, the difference in the surface wettability between superhydrophilic poly(m-phenylene isophthalamide) (PMIA) electrospun nanofibrous membranes (ESMs) and the superhydrophobic parent material was believed to arise from the poling effect induced by the electrospinning process.To eliminate the poling effect, Ouyang et al. prepared a PMIA ESM [116], and used a centrifugally spun nano fibrous membrane (CSM) as a reference sample.Finally, the changes of surface properties of the membranes at the molecular level were investigated.The results showed that the wettability of the ESM was very different from that of the CSM due to the presence of a large number of cis-amide groups on the surface resulting from the conformational changes, as shown in Figure 13.Clearly, the cis-amide conformation significantly enhances the electrostatic attraction between the ESM and cations, thus increasing the adsorption capacity of the membrane for the dye molecules and enhancing the in situ growth of metal nanoparticles.

Electrostatic Spinning Technique
Electrostatic spinning technique is a new method employed for the fabrication of superhydrophobic surface [114].Ma et al. used electrostatic spinning technique to prepare polycaprolactone polymer layer on the substrate surface [115], and then through the chemical vapor deposition method, modified the formed microstructure to obtain superhydrophobic surface with the apparent contact angle reaching 175 • and rolling angle being only 2.5 • .It is noteworthy that controlling the membrane properties, such as hydrophobicity and hydrophilicity, is critical to achieve desirable macroscopic performance.During a long period, the difference in the surface wettability between superhydrophilic poly(m-phenylene isophthalamide) (PMIA) electrospun nanofibrous membranes (ESMs) and the superhydrophobic parent material was believed to arise from the poling effect induced by the electrospinning process.To eliminate the poling effect, Ouyang et al. prepared a PMIA ESM [116], and used a centrifugally spun nano fibrous membrane (CSM) as a reference sample.Finally, the changes of surface properties of the membranes at the molecular level were investigated.The results showed that the wettability of the ESM was very different from that of the CSM due to the presence of a large number of cis-amide groups on the surface resulting from the conformational changes, as shown in Figure 13.Clearly, the cis-amide conformation significantly enhances the electrostatic attraction between the ESM and cations, thus increasing the adsorption capacity of the membrane for the dye molecules and enhancing the in situ growth of metal nanoparticles.

Other Methods of Preparation
Preparation of superhydrophobic coatings mainly depends on the microscopic structures which can also be constructed by methods other than described above, such as self-assembly method, alternating deposition method, and particle filling method [117][118][119][120][121]. Yamauchi et al. sprayed the polyvinylidene fluoride solution with PTFE nanoparticles onto plastic substrate to obtain the superhydrophobic coatings with the apparent contact angle reaching 150° [122].Soeno et al. deposited the wafers alternately in a mixed solution of polyallylamine hydrochloride and polyacrylic acid containing SiO2 nanoparticles to obtain a multilayer assembly film [123].After the heat treatment, the electrolyte in the membrane was removed and the SiO2 nanoparticle membrane with composite structures was obtained which exhibited higher superhydrophobicity (apparent contact angle of ~166°).
Currently, the huge application prospects of superhydrophobic coatings are gradually gaining significant attention, and many preparation techniques have been developed [124].As a response, the superhydrophobic coatings are expected to bring technical innovations to human daily life, industrial production, and aerospace technology, etc.

Dynamic Water Repellency
In general, most of the superhydrophobic surfaces have a static water contact angle greater than 150° and demonstrate wetting properties similar to those of lotus leaves.However, they may not really behave exactly like lotus leaves when dynamic water droplets impact them.Therefore, the impingement of water droplet has also been investigated to characterize the wettability of superhydrophobic coatings under dynamic conditions [125].Currently, bouncing dynamics of impact droplets on solid surfaces intensively appeal to researchers due to its importance in many industrial fields, including anti-icing, dropwise condensation, and self-cleaning.The impact of droplets on a solid surface is followed by spreading, recoiling, and bouncing off.It has also been demonstrated that the bouncing dynamics are highly dependent on surface texture and wettability, and also on the properties of the droplet (i.e., impact viscosity, surface tension, density, and radius) [126,127].Based on these characteristics, many researchers utilized the synergistic actions of surface

Other Methods of Preparation
Preparation of superhydrophobic coatings mainly depends on the microscopic structures which can also be constructed by methods other than described above, such as self-assembly method, alternating deposition method, and particle filling method  [123].After the heat treatment, the electrolyte in the membrane was removed and the SiO 2 nanoparticle membrane with composite structures was obtained which exhibited higher superhydrophobicity (apparent contact angle of ~166 • ).
Currently, the huge application prospects of superhydrophobic coatings are gradually gaining significant attention, and many preparation techniques have been developed [124].As a response, the superhydrophobic coatings are expected to bring technical innovations to human daily life, industrial production, and aerospace technology, etc.

Dynamic Water Repellency
In general, most of the superhydrophobic surfaces have a static water contact angle greater than 150 • and demonstrate wetting properties similar to those of lotus leaves.However, they may not really behave exactly like lotus leaves when dynamic water droplets impact them.Therefore, the impingement of water droplet has also been investigated to characterize the wettability of superhydrophobic coatings under dynamic conditions [125].Currently, bouncing dynamics of impact droplets on solid surfaces intensively appeal to researchers due to its importance in many industrial fields, including anti-icing, dropwise condensation, and self-cleaning.The impact of droplets on a solid surface is followed by spreading, recoiling, and bouncing off.It has also been demonstrated that the bouncing dynamics are highly dependent on surface texture and wettability, and also on the properties of the droplet (i.e., impact viscosity, surface tension, density, and radius) [126,127].
Based on these characteristics, many researchers utilized the synergistic actions of surface chemical compositions and microstructures to construct the hydrophobic or superhydrophobic surface for rapid drop detachment [128][129][130][131].
The process of droplets impacting on a solid surface is a key phenomenon in a variety of natural and industrial fields.When a droplet impacts a superhydrophobic surface, the air trapped between droplet and rough structures offers a considerable capillary pressure that helps in rebounding of the droplet off the surface [132][133][134].In contrast, when a droplet impinges on a hydrophilic or hydrophobic surface, it tends to wet the surface by either spreading on or sticking onto the surface.Li et al. investigated the dynamic processes involving the impact of water droplet on flat, porous, and pincushion structured films [135].The results revealed that rebound characteristics were governed by the energy dissipation during the impact and wetting transition within the structure.Yong et al. performed water droplet impact dynamics and underwater stability studies using ZnO/Si hierarchical nanostructures (HNs) as a model system [136] in Figure 14.Results indicated that decrease in the Weber (We) number could induce the conversion of the wetting state to the anti-wetting state because of the decrease in relative magnitude of wetting force compared to the surface energy.This could be attributed to the fact that two downward pressures and one upward pressure jointly affected the movement of the water droplet during the impacting process [137][138][139].The two downward pressures (wetting pressure and effective water hammer pressure) are forces that penetrate the micro/nanostructure's air pockets.However, the upward pressure (capillary pressure) is a force that interrupts the penetration of the water droplet.When the sum of the downward pressures is greater than the upward pressure, wetting is observed in the water droplet impacting the surface.chemical compositions and microstructures to construct the hydrophobic or superhydrophobic surface for rapid drop detachment [128][129][130][131].
The process of droplets impacting on a solid surface is a key phenomenon in a variety of natural and industrial fields.When a droplet impacts a superhydrophobic surface, the air trapped between droplet and rough structures offers a considerable capillary pressure that helps in rebounding of the droplet off the surface [132][133][134].In contrast, when a droplet impinges on a hydrophilic or hydrophobic surface, it tends to wet the surface by either spreading on or sticking onto the surface.Li et al. investigated the dynamic processes involving the impact of water droplet on flat, porous, and pincushion structured films [135].The results revealed that rebound characteristics were governed by the energy dissipation during the impact and wetting transition within the structure.Yong et al. performed water droplet impact dynamics and underwater stability studies using ZnO/Si hierarchical nanostructures (HNs) as a model system [136] in Figure 14.Results indicated that decrease in the Weber (We) number could induce the conversion of the wetting state to the antiwetting state because of the decrease in relative magnitude of wetting force compared to the surface energy.This could be attributed to the fact that two downward pressures and one upward pressure jointly affected the movement of the water droplet during the impacting process [137][138][139].The two downward pressures (wetting pressure and effective water hammer pressure) are forces that penetrate the micro/nanostructure's air pockets.However, the upward pressure (capillary pressure) is a force that interrupts the penetration of the water droplet.When the sum of the downward pressures is greater than the upward pressure, wetting is observed in the water droplet impacting the surface.Moreover, our group has also reported several literatures on water droplets impacting an extremely hydrophobic surface.To reduce the contact time between the impacting water droplet and the superhydrophobic surface, we reported an ultra-water-repellent surface with the ternary composite structures (macro ridge, microscale patterns, and nanowire structures), and further probed the capacity to compel the impacting water droplet to bounce off within an extreme short time, as shown in Figure 15a,b [140].Based on this, we found that droplets impacting onto dome convex surfaces could also rapidly bounce off with the contact time decreasing to 8.0 ms (see Figure 15c).Although the reduction in contact time of impact droplets was not extremely remarkable compared to that of the above mentioned macroscopically flat surfaces, the convexity was induced to produce a distinguishing bouncing regime.The convexity could expedite the movement of impact droplets on solid surfaces.Furthermore, the underlying physics revealed that the convexity could induce the impact droplet to produce an upward inertia force perpendicular to the convex surface during the retracting process, which was also powerfully propped up by the quantitative numerical calculation results (Figure 15d).The presented research will broaden the understanding on the regime behind some wetting phenomena [141].
Coatings 2018, 8, x FOR PEER REVIEW 18 of 32 Moreover, our group has also reported several literatures on water droplets impacting an extremely hydrophobic surface.To reduce the contact time between the impacting water droplet and the superhydrophobic surface, we reported an ultra-water-repellent surface with the ternary composite structures (macro ridge, microscale patterns, and nanowire structures), and further probed the capacity to compel the impacting water droplet to bounce off within an extreme short time, as shown in Figure 15a,b [140].Based on this, we found that droplets impacting onto dome convex surfaces could also rapidly bounce off with the contact time decreasing to 8.0 ms (see Figure 15c).Although the reduction in contact time of impact droplets was not extremely remarkable compared to that of the above mentioned macroscopically flat surfaces, the convexity was induced to produce a distinguishing bouncing regime.The convexity could expedite the movement of impact droplets on solid surfaces.Furthermore, the underlying physics revealed that the convexity could induce the impact droplet to produce an upward inertia force perpendicular to the convex surface during the retracting process, which was also powerfully propped up by the quantitative numerical calculation results (Figure 15d).The presented research will broaden the understanding on the regime behind some wetting phenomena [141].

Anti-Icing Theory
Fabrication of high-performance anti-icing materials is still a worldwide technical challenge.Although no material can completely resist the ice accumulation, in recent years, scientists continued to analyze the process of ice formation and accumulation.They found that some appropriate surface modification techniques can make the substrate materials to be endowed with superhydrophobicity and the ability of reducing ice adhesion [142][143][144][145][146][147][148].According to the previous analyses of wetting theory, key factors for obtaining superhydrophobicity are lower surface free energy and microscopic rough structures.It has been found that such a rough structure can not only effectively increase the surface superhydrophobicity, but also produce some anti-icing performance under certain conditions [149].

Anti-Icing Theory
Fabrication of high-performance anti-icing materials is still a worldwide technical challenge.Although no material can completely resist the ice accumulation, in recent years, scientists continued to analyze the process of ice formation and accumulation.They found that some appropriate surface modification techniques can make the substrate materials to be endowed with superhydrophobicity and the ability of reducing ice adhesion [142][143][144][145][146][147][148].According to the previous analyses of wetting theory, key factors for obtaining superhydrophobicity are lower surface free energy and microscopic rough structures.It has been found that such a rough structure can not only effectively increase the surface superhydrophobicity, but also produce some anti-icing performance under certain conditions [149].Anti-icing is a complex phenomenon that requires a multi-disciplinary approach in research.Broadly speaking, the problem can be investigated around three major aspects.First is the interaction between water and the solid surface.In a practical situation, if a water droplet is able to slide off or removed from the surface before freezing, ice will not be formed on the surface.The second area of focus is icing delay, in terms of delay in either time or temperature.A lower ice formation temperature would enable a wider operating window in temperature, and thus a higher productivity and economic return.Similarly, a longer freezing time would increase the chance of water removal before the formation of ice.The third, or the last defense line, is the ice adhesion.When ice inevitably forms, the ice adhesion should be kept as weak as possible in order to easily remove the ice by applying a small external force or even by the centrifugal force of a moving component (e.g., wind turbine blade).The detailed contents are discussed as follows: Superhydrophobic surface with microscopic rough structure is conducive to capture air pockets underneath the droplets to form Cassie-Baxter wetting model.At the same time, the air becomes a good thermal insulation layer to prevent droplets from freezing, thus achieving the purpose of delaying icing [150][151][152][153][154]. Cao et al. added nanoparticles into polymer composite substrates and obtained the superhydrophobic surface [155].Metya et al. investigated the ice nucleation of a supercooled cylindrical water droplet on nanotextured surfaces at 203 K with the Cassie-Baxter and Wenzel states using molecular dynamics simulations [156], as shown in Figure 16.On the one hand, ice nucleation rate was found to enhance with the increase in surface fraction in the Cassie-Baxter state, whereas the nucleation rate decreased for the Wenzel state with increasing surface fraction.On the other hand, the effect of nanopillar height on ice nucleation was observed, indicating that the rate enhanced with increasing pillar height.Moreover, the ice adhesion was found to be significantly higher for the Wenzel state compared to that for the Cassie-Baxter state.The results presented in this study shed light on the effect of wetting states, surface fraction, and pillar height on the ice nucleation behavior on nanotextured surfaces [157].Anti-icing is a complex phenomenon that requires a multi-disciplinary approach in research.Broadly speaking, the problem can be investigated around three major aspects.First is the interaction between water and the solid surface.In a practical situation, if a water droplet is able to slide off or removed from the surface before freezing, ice will not be formed on the surface.The second area of focus is icing delay, in terms of delay in either time or temperature.A lower ice formation temperature would enable a wider operating window in temperature, and thus a higher productivity and economic return.Similarly, a longer freezing time would increase the chance of water removal before the formation of ice.The third, or the last defense line, is the ice adhesion.When ice inevitably forms, the ice adhesion should be kept as weak as possible in order to easily remove the ice by applying a small external force or even by the centrifugal force of a moving component (e.g., wind turbine blade).The detailed contents are discussed as follows: Superhydrophobic surface with microscopic rough structure is conducive to capture air pockets underneath the droplets to form Cassie-Baxter wetting model.At the same time, the air becomes a good thermal insulation layer to prevent droplets from freezing, thus achieving the purpose of delaying icing [150][151][152][153][154]. Cao et al. added nanoparticles into polymer composite substrates and obtained the superhydrophobic surface [155].Metya et al. investigated the ice nucleation of a supercooled cylindrical water droplet on nanotextured surfaces at 203 K with the Cassie-Baxter and Wenzel states using molecular dynamics simulations [156], as shown in Figure 16.On the one hand, ice nucleation rate was found to enhance with the increase in surface fraction in the Cassie-Baxter state, whereas the nucleation rate decreased for the Wenzel state with increasing surface fraction.On the other hand, the effect of nanopillar height on ice nucleation was observed, indicating that the rate enhanced with increasing pillar height.Moreover, the ice adhesion was found to be significantly higher for the Wenzel state compared to that for the Cassie-Baxter state.The results presented in this study shed light on the effect of wetting states, surface fraction, and pillar height on the ice nucleation behavior on nanotextured surfaces [157].Ice adhesion on superhydrophobic surface gets significantly reduced [158,159].Researches have shown that the adhesion of ice layer on superhydrophobic surface is related to non-wettability, i.e., the value (1 + cosθ R ) [160,161].More precisely, the receding angle θ R of the droplet on the solid surface exceeds 118.2 • , which leads to a distinct reduction in ice layer adhesion.Therefore, the superhydrophobic surface with appropriate rough microstructure can effectively reduce the ice adhesion [162,163].At the same time, due to a large amount of trapped air pockets, Cassie-Baxter wetting model caused by surface microstructure is effectively retained in the freezing process, thus reducing the ice adhesion [164][165][166].Such a superhydrophobic surface has been proved to be effective in resisting freezing rain and fog to condense.Many achievements toward freezing process and ice adhesion have been made by us.In one of our study, we constructed hierarchical superhydrophobic surfaces by a combination of sand blasting and hydrothermal treatment on the surfaces of Ti6Al4V alloy, which displayed excellent non-wettability with apparent contact angle of 161 • and sliding angle of 3 • (as shown in Figure 17) [167].Micro-nanostructures trapped a large amount of air pockets under the droplet; therefore, the icing-delay time of a droplet on the superhydrophobic surfaces was many times longer than that of a droplet on the smooth Ti6Al4V substrate, and the ice adhesion also exhibited the similar change trend.Ice adhesion on superhydrophobic surface gets significantly reduced [158,159].Researches have shown that the adhesion of ice layer on superhydrophobic surface is related to non-wettability, i.e., the value (1 + cosθR) [160,161].More precisely, the receding angle θR of the droplet on the solid surface exceeds 118.2°, which leads to a distinct reduction in ice layer adhesion.Therefore, the superhydrophobic surface with appropriate rough microstructure can effectively reduce the ice adhesion [162,163].At the same time, due to a large amount of trapped air pockets, Cassie-Baxter wetting model caused by surface microstructure is effectively retained in the freezing process, thus reducing the ice adhesion [164][165][166].Such a superhydrophobic surface has been proved to be effective in resisting freezing rain and fog to condense.Many achievements toward freezing process and ice adhesion have been made by us.In one of our study, we constructed hierarchical superhydrophobic surfaces by a combination of sand blasting and hydrothermal treatment on the surfaces of Ti6Al4V alloy, which displayed excellent non-wettability with apparent contact angle of 161° and sliding angle of 3° (as shown in Figure 17) [167].Micro-nanostructures trapped a large amount of air pockets under the droplet; therefore, the icing-delay time of a droplet on the superhydrophobic surfaces was many times longer than that of a droplet on the smooth Ti6Al4V substrate, and the ice adhesion also exhibited the similar change trend.and (d) The relationship between ice adhesion strength and temperature [167].(Adapted from [167] with permission; Copyright 2015 RSC).
Structural interface contact mechanism: Studies have shown that the air layer captured by superhydrophobic surfaces (Cassie-Baxter wetting model) is effectively retained after the droplets freeze, resulting in a high stress concentration around the bubble (acting as a microcrack).This reduces the required external force for deicing, and the required external force is related to the retraction contact angle and the size of the voids [168].Thus, a lower external force is required to remove the ice layer present on the superhydrophobic surface.the required external force for deicing, and the required external force is related to the retraction contact angle and the size of the voids [168].Thus, a lower external force is required to remove the ice layer present on the superhydrophobic surface.
To further reduce the ice adhesion, Cohen and McKinley designed self-lubricating icephobic coatings with low ice adhesion strength values (~50 kPa) (see Figure 18a,b) [169].Different molecular mechanisms are found to be responsible for the low ice adhesion strength, for example, the increased thickness (D) of the water depletion layer leads to the weakening of the Van der Waals interactions between the ice and the polymeric substrate.Moreover, the non-frozen quasiliquid-layer on a PDMS+PDMS-PEG surface lubricates the contact and reduces the adhesion strength between ice and solid surface.Furthermore, Gupta et al. combined the strengths of individual characteristics for low ice adhesion based on elasticity, superhydrophobicity, and slippery liquid-infused porous surfaces for an optimal combination of high water repellency and icephobicity [170].Studies showed that an infusion of silicone oil (below 8 wt.%) with viscosity at 100 cSt in PDMS solution was sufficient to reduce the ice shear strength to an average value of 38 kPa.This ice adhesion value exhibited a ~95% reduction compared to a bare aluminum surface and ~30% reduction compared to a microtextured superhydrophobic PDMS material without oil infusion, as shown in Figure 18c,d.In general, researchers have been exploring the interface model to analyze the adhesion reduction between ice layer and superhydrophobic surface.The main objective is to generate a model with general applicability to microstructured superhydrophobic surfaces.To further reduce the ice adhesion, Cohen and McKinley designed self-lubricating icephobic coatings with low ice adhesion strength values (~50 kPa) (see Figure 18a,b) [169].Different molecular mechanisms are found to be responsible for the low ice adhesion strength, for example, the increased thickness (D) of the water depletion layer leads to the weakening of the Van der Waals interactions between the ice and the polymeric substrate.Moreover, the non-frozen quasiliquid-layer on a PDMS+PDMS-PEG surface lubricates the contact and reduces the adhesion strength between ice and solid surface.Furthermore, Gupta et al. combined the strengths of individual characteristics for low ice adhesion based on elasticity, superhydrophobicity, and slippery liquid-infused porous surfaces for an optimal combination of high water repellency and icephobicity [170].Studies showed that an infusion of silicone oil (below 8 wt.%) with viscosity at 100 cSt in PDMS solution was sufficient to reduce the ice shear strength to an average value of 38 kPa.This ice adhesion value exhibited a ~95% reduction compared to a bare aluminum surface and ~30% reduction compared to a microtextured superhydrophobic PDMS material without oil infusion, as shown in Figure 18c,d.In general, researchers have been exploring the interface model to analyze the adhesion reduction between ice layer and superhydrophobic surface.The main objective is to generate a model with general applicability to microstructured superhydrophobic surfaces.Interface contact model and the mechanism involving the reduction of the ice adhesion on the superhydrophobic surface are complex physical and chemical processes.Although some progress has been made in this field, it is not possible to describe the mechanism of lower ice adhesion on superhydrophobic surface completely and accurately.So far, still some controversies are encountered whether the superhydrophobic surface can reduce the ice adhesion.Therefore, extensive research efforts are required to be devoted to the understanding of the basic theory about the anti-icing properties of superhydrophobic surface.Undeniably, a lot more systematic investigations are demanded to explore a more reasonable interface contact mechanism, finally providing the theoretical support for the practical applications of superhydrophobic anti-icing coatings.Interface contact model and the mechanism involving the reduction of the ice adhesion on the superhydrophobic surface are complex physical and chemical processes.Although some progress has been made in this field, it is not possible to describe the mechanism of lower ice adhesion on superhydrophobic surface completely and accurately.So far, still some controversies are encountered whether the superhydrophobic surface can reduce the ice adhesion.Therefore, extensive research efforts are required to be devoted to the understanding of the basic theory about the anti-icing properties of superhydrophobic surface.Undeniably, a lot more systematic investigations are demanded to explore a more reasonable interface contact mechanism, finally providing the theoretical support for the practical applications of superhydrophobic anti-icing coatings.

Anti-Icing Property
Anti-icing property is usually evaluated around the following two aspects: icing-delay time and ice adhesion strength.The freezing process is usually observed using a camera equipped with charge-coupled device (CCD).Moreover, the icing-delay time of water droplets on the sample surfaces could be directly obtained using the CCD camera.Measurement of ice adhesion strength was performed using a self-made ice adhesion strength measurement device including a cooling plate with temperature in the range from 0 to −40 • C. To measure the ice adhesion strength, first a cuvette was filled with distilled water and sample was placed on the rabbet of the cuvette.This setup was kept in a refrigerator for more than 24 h to form an ice column sticking to the sample surface.A force transducer was used for real time monitoring of the force of separating the ice column from sample surfaces.Ice adhesion strength was calculated by using the following equation: τ = F/A, where τ is ice adhesion strength; F is the critical force; and A is the contact area of ice column with sample surface.
Ruan et al. used FeCl 3 and HCl mixed solution as etchant to prepare the ideal superhydrophobic surface on the aluminum alloy matrix (apparent contact angle reached 159.1 • and contact angle hysteresis was as low as 4.0 • ) [171].Moreover, the anti-icing performance of superhydrophobic surface was found to be excellent.Compared to the smooth aluminum alloy matrix, the icing-delay time reached 270 s (at −10 • C) and the icing temperature dropped from −2.2 to −6.1 • C. Furthermore, other research groups have also confirmed that the anodized superhydrophobic aluminum alloy material exhibits the same excellent anti-icing performance [172].
Huang et al. etched the copper foil in the KOH and K 2 S 2 O 8 mixed solution to form a macular micro-nanoscale composite structure [173], and then modified the surface with fluorosilane to obtain superhydrophobic surface.Apparent contact angle for such surface reached 156.2 • , showing a strong superhydrophobic capacity for small droplet (tens of microns).Lu et al. demonstrated the ability to spatially control frost formation and the confinement of ice growing kinetics by manipulating the free energy barrier of nucleation on the V-shaped microgroove patterned surfaces (as shown in Figure 19) [174].Moreover, the growth kinetics of ice could also be altered by adjusting the shape of the microgroove.Ice stacked along the direction of the V-shaped microgroove (VMG), whereas it grew in random directions on the trapezoid-shaped microgroove (TMG).The insight of this study can improve the anti-icing and de-icing performances at a very cold temperature in many industrial systems.

Anti-Icing Property
Anti-icing property is usually evaluated around the following two aspects: icing-delay time and ice adhesion strength.The freezing process is usually observed using a camera equipped with chargecoupled device (CCD).Moreover, the icing-delay time of water droplets on the sample surfaces could be directly obtained using the CCD camera.Measurement of ice adhesion strength was performed using a self-made ice adhesion strength measurement device including a cooling plate with temperature in the range from 0 to −40 °C.To measure the ice adhesion strength, first a cuvette was filled with distilled water and sample was placed on the rabbet of the cuvette.This setup was kept in a refrigerator for more than 24 h to form an ice column sticking to the sample surface.A force transducer was used for real time monitoring of the force of separating the ice column from sample surfaces.Ice adhesion strength was calculated by using the following equation: = / FA  , where τ is ice adhesion strength; F is the critical force; and A is the contact area of ice column with sample surface.
Ruan et al. used FeCl3 and HCl mixed solution as etchant to prepare the ideal superhydrophobic surface on the aluminum alloy matrix (apparent contact angle reached 159.1° and contact angle hysteresis was as low as 4.0°) [171].Moreover, the anti-icing performance of superhydrophobic surface was found to be excellent.Compared to the smooth aluminum alloy matrix, the icing-delay time reached 270 s (at −10 °C) and the icing temperature dropped from −2.2 to −6.1 °C.Furthermore, other research groups have also confirmed that the anodized superhydrophobic aluminum alloy material exhibits the same excellent anti-icing performance [172].
Huang et al. etched the copper foil in the KOH and K2S2O8 mixed solution to form a macular micro-nanoscale composite structure [173], and then modified the surface with fluorosilane to obtain superhydrophobic surface.Apparent contact angle for such surface reached 156.2°, showing a strong superhydrophobic capacity for small droplet (tens of microns).Lu et al. demonstrated the ability to spatially control frost formation and the confinement of ice growing kinetics by manipulating the free energy barrier of nucleation on the V-shaped microgroove patterned surfaces (as shown in Figure 19) [174].Moreover, the growth kinetics of ice could also be altered by adjusting the shape of the microgroove.Ice stacked along the direction of the V-shaped microgroove (VMG), whereas it grew in random directions on the trapezoid-shaped microgroove (TMG).The insight of this study can improve the anti-icing and de-icing performances at a very cold temperature in many industrial systems.It is noteworthy that Aizenberg research group at Harvard University directly infiltrated the super-lubricating liquid (which is incompatible with water) into the superhydrophobic surface with porous structure, and made the lubricating liquid locked by porous micro-nanoscale composite structure, resulting in the formation of a pure liquid lubricating layer on the solid surface (see Figure 20a).Compared to conventional materials, although the apparent contact angle did not meet the superhydrophobic requirements of contact angle >150 • , the ice adhesion on the surface was reduced by 1-2 orders of magnitude because of its extreme lubricating properties [175].
It is noteworthy that Aizenberg research group at Harvard University directly infiltrated the super-lubricating liquid (which is incompatible with water) into the superhydrophobic surface with porous structure, and made the lubricating liquid locked by porous micro-nanoscale composite structure, resulting in the formation of a pure liquid lubricating layer on the solid surface (see Figure 20a).Compared to conventional materials, although the apparent contact angle did not meet the superhydrophobic requirements of contact angle >150°, the ice adhesion on the surface was reduced by 1-2 orders of magnitude because of its extreme lubricating properties [175].
To overcome the problem of pinning up of water droplets on the prepared superhydrophobic surfaces at low temperatures due to ice/water capillary bridges, Wang et al. prepared slippery liquidinfused porous surfaces by infusing different lubricants into the superhydrophobic surfaces [176], and the water droplets smoothly travelled under the conditions of low temperatures.The results indicated superior anti-icing properties with the lower travelling speed of water droplets under the conditions of favoring the condensation of atmospheric humidity, as shown in Figure 20b-d.

Some Issues Related to Superhydrophobic Anti-Icing Coatings
Based on the above mentioned analyses, it is believed that since the discovery of fractal roughness structure in the 1990s, there have been a significant development in the theoretical research and preparation technology of superhydrophobic coatings.Moreover, the proposed theoretical model can well explain the phenomena encountered in the research process.However, the energy change and size effect in the model transition process of hydrophobic surface, in particular, for the wetting model transition mechanism led by nanostructures, still lack more detailed studies [177][178][179][180]. Second, the anti-icing application of superhydrophobic coatings is still in the basic performance evaluation stage, and the research progress also focuses on the discussion and analysis of the laboratory-based results.The studies on the anti-icing mechanism of superhydrophobic surface, in particular, the theoretical calculation and the thermodynamics and dynamic analysis toward inhibiting droplet icing nucleation growth process are still rare [181,182].Moreover, the anti-icing research ideas about the superhydrophobic surface also concentrate on the problem of the static droplets delaying icing and reducing the ice adhesion.However, the researches still lack the To overcome the problem of pinning up of water droplets on the prepared superhydrophobic surfaces at low temperatures due to ice/water capillary bridges, Wang et al. prepared slippery liquid-infused porous surfaces by infusing different lubricants into the superhydrophobic surfaces [176], and the water droplets smoothly travelled under the conditions of low temperatures.The results indicated superior anti-icing properties with the lower travelling speed of water droplets under the conditions of favoring the condensation of atmospheric humidity, as shown in Figure 20b-d.

Some Issues Related to Superhydrophobic Anti-Icing Coatings
Based on the above mentioned analyses, it is believed that since the discovery of fractal roughness structure in the 1990s, there have been a significant development in the theoretical research and preparation technology of superhydrophobic coatings.Moreover, the proposed theoretical model can well explain the phenomena encountered in the research process.However, the energy change and size effect in the model transition process of hydrophobic surface, in particular, for the wetting model transition mechanism led by nanostructures, still lack more detailed studies [177][178][179][180]. Second, the anti-icing application of superhydrophobic coatings is still in the basic performance evaluation stage, and the research progress also focuses on the discussion and analysis of the laboratory-based results.The studies on the anti-icing mechanism of superhydrophobic surface, in particular, the theoretical calculation and the thermodynamics and dynamic analysis toward inhibiting droplet icing nucleation growth process are still rare [181,182].Moreover, the anti-icing research ideas about the superhydrophobic surface also concentrate on the problem of the static droplets delaying icing and reducing the ice adhesion.However, the researches still lack the investigation of the anti-icing process for dynamic droplets, especially on energy conversion and contact time of bouncing droplets on the superhydrophobic surface [183].
Finally, the superhydrophobic surface shows a certain degree of anti-icing performance, and the current researches only hope to build the ideal non-wetting surface to solve the problem of solid surface icing.However, at lower temperatures (around −50 • C), ice layer still accumulates on the superhydrophobic surface.In this case, the anti-icing application of superhydrophobic coatings still requires the coupling with the de-icing technologies, expecting to really solve the icing issues.

Summary and Outlook
Aircraft icing poses an increasingly serious threat to flight safety due to the damaged aerodynamic shape.The undesired ice accumulations cause a series of serious fight problems, including the redistribution of airfoil pressure, reduction of lift factor, increase in resistance coefficient, and rapid diminution of the lift resistance ratio.Moreover, it has also been confirmed that aircraft icing is mainly caused by the ice crystals and supercooled water droplets suspended in the clouds, and the formed ice generally corresponds to clear ice, rime ice, or mixed ice.Currently, the main strategy to solve the problem of aircraft icing is still based on some traditional methods such as mechanical, electrothermal, and liquid hybrid approaches, finally causing higher energy consumption and serious damage to fatigue property of substrate materials.However, considering the process of ice formation on the surface of aircrafts, the passive anti-icing coatings endowed with robust water repellency have been proposed and expected to reduce the relied degree on the traditional de-icing strategies, even replace them in near future, and finally realize the aim of fuel economy.
Superhydrophobic coating is considered to be an ideal candidate material because of its excellent water repellency, compared to the other materials such as hydrophilic materials and swelling functionalizations.Based on the surface wetting theory, the coatings decorated with the hierarchical micro-nanostructures and low surface free energy can well conform to the wetting regime of Cassie-Baxter wetting model.Moreover, the resultant surface exhibits higher contact angle and lower droplet adhesion.These theoretical analyses provide a detailed guidance on the preparation of superhydrophobic coatings.Combining with the application background, the as-prepared coatings should have a strong resistance to the mechanical damage, which is the main application challenge of superhydrophobic anti-icing coatings.Through the wide investigations on anti-icing performances of superhydrophobic coatings, the water repellency can compel the supercooled water droplets to remove off rapidly from the substrate surface before completely freezing.Even if some supercooled water droplets still manage to freeze and adhere to the substrate surface, the special wetting regime will induce smaller composite contact interface of solid/ice and air/ice, finally causing lower ice adhesion.Consequently, the ice can also be removed with the assistance of high-speed airflow around the surface of aircraft, realizing the objective of preventing ice accumulation.
Anti-icing application of superhydrophobic coatings is still in the basic performance evaluation stage, and the research progress also focuses on the discussion and analysis of the experimental results.However, it lacks the detailed study on the anti-icing mechanism of superhydrophobic coatings, in particular, the theoretical calculation and thermodynamic analysis.Nonetheless, some researchers still doubt the anti-icing potential of superhydrophobic coatings due to some complex application environments [184,185].They consider that the microscopic structures on the superhydrophobic coatings can lead to the anchoring action with the attached ice, resulting in higher ice adhesion [186,187].Furthermore, the anti-icing research on the superhydrophobic coatings still concentrates on the problems such as the icing-delay time of static droplets and ice adhesion, thus lacking investigations on anti-icing process of dynamic supercooled droplets (e.g., icing wind tunnel).Finally, although the superhydrophobic coatings show a certain degree of anti-icing potential, the current researches only hope to build the ideal non-wetting surface to prevent ice formation and accumulation.Freezing is a spontaneous process, and the ice adheres to the surface of substrate materials at lower temperatures (below −40 • C).Therefore, current effective strategy still requires a design of a combined approach of active de-icing and passive anti-icing with lower energy consumption in order to overcome the issue of aircraft icing.

Figure 1 .
Figure 1.Distribution of ice crystals and supercooled water droplets in the clouds.

Figure 1 .
Figure 1.Distribution of ice crystals and supercooled water droplets in the clouds.Coatings 2018, 8, x FOR PEER REVIEW 4 of 32

Figure 2 .
Figure 2. Three typical types of aircraft icing.

Figure 2 .
Figure 2. Three typical types of aircraft icing.

Figure 2 .
Figure 2. Three typical types of aircraft icing.

Figure 2 .
Figure 2. Three typical types of aircraft icing.

Figure 2 .
Figure 2. Three typical types of aircraft icing.

Figure 2 .
Figure 2. Three typical types of aircraft icing.

Figure 5 .
Figure 5. Schematic illustration of the contact angle of the liquid droplet on the surface.

Figure 5 .
Figure 5. Schematic illustration of the contact angle of the liquid droplet on the surface.

Figure 7 .
Figure 7. Micro-nanoscale composite structures of Lotus leaf surface: (a) Natural lotus leaf surface structure; (b) Biomimetic composite structure.(Reproduced from [82] with permission; Copyright 2002 Wiley).(c) The droplet on the lotus leaf surface.

Figure 7 .
Figure 7. Micro-nanoscale composite structures of Lotus leaf surface: (a) Natural lotus leaf surface structure; (b) Biomimetic composite structure.(Reproduced from [82] with permission; Copyright 2002 Wiley).(c) The droplet on the lotus leaf surface.

Figure 8 .
Figure 8. Hierarchical micro-nanostructures formed by DPIL: (a) Schematic illustration of the fabrication process, (b) cross-sectional SEM images of a prestructured box pattern; (c) dual-scale structure with a submicron pillar pattern on top, and (d) the triple-scale structure with a sub-100 nm line pattern on top and a micron-pillar patterns on the second level.(Reproduced from [95] with permission; Copyright 2017 American Chemical Society).

Figure 8 .
Figure 8. Hierarchical micro-nanostructures formed by DPIL: (a) Schematic illustration of the fabrication process, (b) cross-sectional SEM images of a prestructured box pattern; (c) dual-scale structure with a submicron pillar pattern on top, and (d) the triple-scale structure with a sub-100 nm line pattern on top and a micron-pillar patterns on the second level.(Reproduced from [95] with permission; Copyright 2017 American Chemical Society).

Figure 10 .
Figure 10.(a) Schematic illustration of the fabrication process of re-entrant structures from colloidal monolayer templates; (b) The precise controlling of pore opening by changing the content of SiO2 precursor; (c) Geometric illustration of the relationship between the pore radius a, colloidal radius d, and the pore opening angle J for two exemplary pore openings; (d) SEM image of the prepared nanopore arrays and the corresponding inverse monolayer with pore openings of Ψ = 79°; and (e) Static contact angle of liquids with various surface tensions on inverse monolayers functionalized by fluorinated surface chemistry, scale bar is 1 μm.(f) The continuous increase in the contact angle with the change of liquid surface tension from 21.7 mN m −1 to 72.8 mN m −1 .(Adapted from [103] with permission; Copyright 2016 RSC).

Figure 10 .
Figure 10.(a) Schematic illustration of the fabrication process of re-entrant structures from colloidal monolayer templates; (b) The precise controlling of pore opening by changing the content of SiO 2 precursor; (c) Geometric illustration of the relationship between the pore radius a, colloidal radius d, and the pore opening angle J for two exemplary pore openings; (d) SEM image of the prepared nanopore arrays and the corresponding inverse monolayer with pore openings of Ψ = 79 • ; and (e) Static contact angle of liquids with various surface tensions on inverse monolayers functionalized by fluorinated surface chemistry, scale bar is 1 µm.(f) The continuous increase in the contact angle with the change of liquid surface tension from 21.7 mN m −1 to 72.8 mN m −1 .(Adapted from [103] with permission; Copyright 2016 RSC).

Figure 11 .
Figure 11.(a) Schematic illustration of the process of fabrication of a superhydrophobic surface on the brass substrate; (b) Effects of the micro-etching time on contact angle of the as-prepared surface; (c) SEM images of the as-prepared surfaces with micro-etching period of 6 min; and (d) Thermal stability test results for the superhydrophobic brass and self-cleaning behavior of the superhydrophobic brass surface (inset).(Adapted from [109] with permission; Copyright 2017 RSC).

Figure 11 .
Figure 11.(a) Schematic illustration of the process of fabrication of a superhydrophobic surface on the brass substrate; (b) Effects of the micro-etching time on contact angle of the as-prepared surface; (c) SEM images of the as-prepared surfaces with micro-etching period of 6 min; and (d) Thermal stability test results for the superhydrophobic brass and self-cleaning behavior of the superhydrophobic brass surface (inset).(Adapted from [109] with permission; Copyright 2017 RSC).

Coatings 2018, 8 , 32 Figure 12 .
Figure 12.SEM images of the hierarchical polysilsesquioxane/polystyrene microspheres and corresponding particle size distribution: (a) SEM image of polystyrene latex beads with the corresponding particle size distribution; (b) SEM images of the hierarchical microspheres with the corresponding size distribution; and (c,d) SEM images of hierarchical polysilsesquioxane/polystyrene microspheres with different contents (3 and 7 mmol) of ethyltrimethoxysilane.(Adapted from [113] with permission; Copyright 2017 RSC).

Figure 12 .
Figure 12.SEM images of the hierarchical polysilsesquioxane/polystyrene microspheres and corresponding particle size distribution: (a) SEM image of polystyrene latex beads with the corresponding particle size distribution; (b) SEM images of the hierarchical microspheres with the corresponding size distribution; and (c,d) SEM images of hierarchical polysilsesquioxane/polystyrene microspheres with different contents (3 and 7 mmol) of ethyltrimethoxysilane.(Adapted from [113] with permission; Copyright 2017 RSC).

Figure 13 .
Figure 13.(a) Schematic illustration of the formation of the cis-PMIA ESM; (b) Static contact angles of water droplets on the PMIA CSM and PMIA ESM and representative SEM images of nanofibers on the PMIA CSM/Pt and PMIA ESM at Pt precursor concentrations of 0.01 M; and (c) ARXPS spectra of the CSM and ESM at different test depths.(Adapted from [116] with permission; Copyright 2017 ACS).

Figure 13 .
Figure 13.(a) Schematic illustration of the formation of the cis-PMIA ESM; (b) Static contact angles of water droplets on the PMIA CSM and PMIA ESM and representative SEM images of nanofibers on the PMIA CSM/Pt and PMIA ESM at Pt precursor concentrations of 0.01 M; and (c) ARXPS spectra of the CSM and ESM at different test depths.(Adapted from [116] with permission; Copyright 2017 ACS).
[117-121].Yamauchi et al. sprayed the polyvinylidene fluoride solution with PTFE nanoparticles onto plastic substrate to obtain the superhydrophobic coatings with the apparent contact angle reaching 150 • [122].Soeno et al. deposited the wafers alternately in a mixed solution of polyallylamine hydrochloride and polyacrylic acid containing SiO 2 nanoparticles to obtain a multilayer assembly film

Figure 14 .
Figure 14.Snapshots of the impact dynamics of water droplets showing the transition between wetting/anti-wetting states at a critical We number: (a) ZnO/Si HNs with 50 μm spacing distance, showing a transition from the wetting state to the anti-wetting state at We = 9; (b) ZnO/Si HNs with 100 μm spacing distance, showing a transition from the wetting state to the anti-wetting state at We = 1.5; and (c) Schematic representation describing the transition from the wetting state to the antiwetting state.(Adapted from [136] with permission; Copyright 2017 RSC).

Figure 14 .
Figure 14.Snapshots of the impact dynamics of water droplets showing the transition between wetting/anti-wetting states at a critical We number: (a) ZnO/Si HNs with 50 µm spacing distance, showing a transition from the wetting state to the anti-wetting state at We = 9; (b) ZnO/Si HNs with 100 µm spacing distance, showing a transition from the wetting state to the anti-wetting state at We = 1.5; and (c) Schematic representation describing the transition from the wetting state to the anti-wetting state.(Adapted from [136] with permission; Copyright 2017 RSC).

Figure 15 .
Figure 15.(a) The schematic illustration of the fabrication of the ultra-water-repellent surface; (b) The macro ridge structures on the as-prepared superhydrophobic surface, and the corresponding contact processes of the impact water droplet [140] (copyright © 2016 Elsevier B.V.); (c) The moving process of the impact droplet at We = 6.87 until bouncing off the convex superhydrophobic surface; and (d) The schematic illustration of forced direction variation from stage k1 to stage k2 during the retracting process (a,b).The numerical results of impact droplet retracting at the two particular moments on the flat (c,d) and dome convex (e,f) surfaces.(Adapted from [141] with permission; Copyright 2016 AIP).

Figure 15 .
Figure 15.(a) The schematic illustration of the fabrication of the ultra-water-repellent surface; (b) The macro ridge structures on the as-prepared superhydrophobic surface, and the corresponding contact processes of the impact water droplet [140] (copyright © 2016 Elsevier B.V.); (c) The moving process of the impact droplet at We = 6.87 until bouncing off the convex superhydrophobic surface; and (d) The schematic illustration of forced direction variation from stage k1 to stage k2 during the retracting process (a,b).The numerical results of impact droplet retracting at the two particular moments on the flat (c,d) and dome convex (e,f) surfaces.(Adapted from [141] with permission; Copyright 2016 AIP).

Figure 16 .
Figure 16.(a) Schematic illustration of the substrate (shaded part) and the upper region, which are 0.0-1.0nm and greater than 1.0 nm above the surface, respectively; (b) The ice nucleation rate as a function of surface fraction at 203 K, for different nanostructured surfaces with pillar height, h = 0.136 nm; (c) The ice nucleation rate as a function of pillar height at 203 K, for the Cassie-Baxter state with different surface fractions; (d) Variation of the surface free energy difference with respect to α for nanostructured surfaces with different wetting states.(Adapted from [156] with permission; Copyright 2016 RSC).

Figure 16 .
Figure 16.(a) Schematic illustration of the substrate (shaded part) and the upper region, which are 0.0-1.0nm and greater than 1.0 nm above the surface, respectively; (b) The ice nucleation rate as a function of surface fraction at 203 K, for different nanostructured surfaces with pillar height, h = 0.136 nm; (c) The ice nucleation rate as a function of pillar height at 203 K, for the Cassie-Baxter state with different surface fractions; (d) Variation of the surface free energy difference with respect to α for nanostructured surfaces with different wetting states.(Adapted from [156] with permission; Copyright 2016 RSC).

Figure 17 .
Figure 17.(a) Images of hierarchical morphologies and characterization results of the wettability of SS, MS, NS, and MNS; (b) Optical images show the icing process of 4 μL water droplets on SS, MS, NS, and MNS at −10 °C; (c) APCA, ACA, RCA, and CAH of water droplets on SS, MS, NS, and MNS;and (d)  The relationship between ice adhesion strength and temperature[167].(Adapted from[167] with permission; Copyright 2015 RSC).

Figure 17 .
Figure 17.(a) Images of hierarchical morphologies and characterization results of the wettability of SS, MS, NS, and MNS; (b) Optical images show the icing process of 4 µL water droplets on SS, MS, NS, and MNS at −10 • C; (c) APCA, ACA, RCA, and CAH of water droplets on SS, MS, NS, and MNS;and (d)  The relationship between ice adhesion strength and temperature[167].(Adapted from[167] with permission; Copyright 2015 RSC).

Figure 18 .
Figure 18.(a) Proposed mechanisms responsible for low ice adhesion on two distinct types of surfaces; (b) Ice adhesion strength plotted as a function of the water contact angle parameter that scales with the practical work of adhesion for water for different polymer coatings and a bare clean silicon wafer [169].(Reproduced with permission; Copyright 2017 ACS).(c) Schematic illustration of the steps of fabrication of the oil-infused microtextured PDMS material; and (d) A comparison of ice-adhesion strength of the smooth PDMS control material, microtextured PDMS material without oil infusion, and an oil-infused microtextured superhydrophobic elastomer [170].(Reproduced with permission; Copyright 2016 ACS).

Figure 18 .
Figure 18.(a) Proposed mechanisms responsible for low ice adhesion on two distinct types of surfaces; (b) Ice adhesion strength plotted as a function of the water contact angle parameter that scales with the practical work of adhesion for water for different polymer coatings and a bare clean silicon wafer [169].(Reproduced with permission; Copyright 2017 ACS).(c) Schematic illustration of the steps of fabrication of the oil-infused microtextured PDMS material; and (d) A comparison of ice-adhesion strength of the smooth PDMS control material, microtextured PDMS material without oil infusion, and an oil-infused microtextured superhydrophobic elastomer [170].(Reproduced with permission; Copyright 2016 ACS).

Figure 19 .
Figure 19.(a) Initial thermodynamic states of the frosting/de-icing processes and surface characterization; (b) Random and aligned orientations of c-axes on TMG and VMG surfaces, respectively; (c) Dynamics of the frosting processes under a high supersaturation condition; and (d) Dynamics of the de-icing processes.(Adapted from [174] with permission; Copyright 2017 ACS).

Figure 19 .
Figure 19.(a) Initial thermodynamic states of the frosting/de-icing processes and surface characterization; (b) Random and aligned orientations of c-axes on TMG and VMG surfaces, respectively; (c) Dynamics of the frosting processes under a high supersaturation condition; and (d) Dynamics of the de-icing processes.(Adapted from [174] with permission; Copyright 2017 ACS).

Figure 20 .
Figure 20.(a) Schematic illustration of the ultra-lubricating surface preparation process for porous materials [175].(Reproduced with permission; Copyright 2012 ACS).Schematic representation of water droplets on the (b) superhydrophobic surfaces and (c) slippery liquid-infused porous surfaces at low temperatures.(d) Travelling speed of water droplets on slippery liquid-infused porous surfaces 1-3 versus temperature under "dry" and "wet/condensing" conditions.The surface was tilted at 3° [176].(Reproduced with permission; Copyright 2017 RSC).

Figure 20 .
Figure 20.(a) Schematic illustration of the ultra-lubricating surface preparation process for porous materials [175].(Reproduced with permission; Copyright 2012 ACS).Schematic representation of water droplets on the (b) superhydrophobic surfaces and (c) slippery liquid-infused porous surfaces at low temperatures.(d) Travelling speed of water droplets on slippery liquid-infused porous surfaces 1-3 versus temperature under "dry" and "wet/condensing" conditions.The surface was tilted at 3 • [176].(Reproduced with permission; Copyright 2017 RSC).

Grades Ice Thickness Per Unit Time (mm min −1 ) Ice Thickness of The Flight Process (cm) Weak Ice
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