Bio-Inspired Polymeric Structures with Special Wettability and Their Applications: An Overview

It is not unusual for humans to be inspired by natural phenomena to develop new advanced materials; such materials are called bio-inspired materials. Interest in bio-inspired polymeric superhydrophilic, superhydrophobic, and superoleophobic materials has substantially increased over the last few decades, as has improvement in the related technologies. This review reports the latest developments in bio-inspired polymeric structures with desired wettability that have occurred by mimicking the structures of lotus leaf, rose petals, and the wings and shells of various creatures. The intrinsic role of surface chemistry and structure on delivering superhydrophilicity, superhydrophobicity, and superoleophobicity has been extensively explored. Typical polymers, commonly used structures, and techniques involved in developing bio-inspired surfaces with desired wettability are discussed. Additionally, the latest applications of bio-inspired structures with desired wettability in human activities are also introduced.


Theoretical Background
Wetting is the interaction between liquid and solid surfaces [99]; the intermolecular force at the interface determines whether the solid can be wetted by a given liquid or not [1,2,99]. In the process of wetting, the air-solid interface is replaced by an equivalent-sized liquid-solid interface and forms a new liquid-air interface [2]. The system consists of three interfaces in total: a solid-liquid interface, a liquid-air interface, and a solid-air interface. Each interface has specific interfacial energy, and any change in the interfaces causes a variation in the free energy of the whole system [1,2,36]. The change in free energy of the whole system determines the wetting behaviors of the liquid, i.e., whether or not the liquid spreads on the surface [2]. The parameters that most intuitively reflect the wettability of a solid surface are the liquid contact angles, which includes static contact angles and advancing/receding contact angles [100][101][102][103]. Contact angle is defined as the angle between the  [1]; reproduced with permission from AIP. (b) Water droplets completely wet the fabric surface to leave water stains [5]; reproduced with permission from Wiley. (c) Water droplet beads up on transparent superhydrophobic glass slide [6]; reproduced with permission from the American Chemical Society. (d) Water droplets roll down carrying away the dusts to leave a clean trace on glass (in red rectangles) [6]; reproduced with permission from the American Chemical Society.
The design of oleophobic surfaces follows the same principles for fabricating superhydrophobic surfaces, but with a particular emphasis on the reduction of surface energy in combination with surface structures. Fluoropolymers with high amounts of function groups, such as -CF 3 and -CF 2 [35][36][37], have the lowest surface energy, thus fluoropolymers have been commonly applied The contact angle hysteresis is another important parameter for evaluating the interaction between liquid and solid. It depends on surface heterogeneity, roughness, adsorption, deformation, and other factors of the solid surface [1][2][3][4][5][6][7][8][9][10][99][100][101][102]. It is defined as the difference between the advancing and receding contact angles, as shown in Figure 2e [39]. The advancing contact angle is measured at the front of the liquid droplet when it starts to slide, which is the largest contact angle that can be measured on the solid surface [100][101][102]. On the other hand, the receding contact angle is measured at the backside of the liquid droplet when it starts to slide, and it is the lowest theoretical contact angle [100][101][102]. Contact angle hysteresis determines the motion behavior of water on solids [1]. Surfaces with higher contact angle hysteresis require more energy to remove the liquid, because the droplet adheres to the surface. This means more energy is dissipated when liquid flows along such a surface. Surfaces with lower contact angle hysteresis allow a droplet to easily roll off from the solid surface. These aspects are important for designing self-cleaning, fluidic micro-/nano-materials [35][36][37].

Young's Equation
From a thermodynamics perspective, Young's equation, as given in Equation (1), provides the basic principle of the wetting phenomenon [35][36][37]. It is established based on the assumption that the solid surface is smooth and flat, and the system is ideal. It neglects influences such as surface roughness, size of droplets, liquid evaporation, surface swelling, vapor condensation, and chemical heterogeneity [36,103]. The contact angle is a balance of solid-gas, liquid-gas, and solid-liquid interfacial forces under thermodynamic equilibrium (Figure 3a) [32][33][34][35][36]39,104].
where , , and are the interfacial tensions of solid-liquid, liquid-gas, and solid-gas interfaces, respectively. θC is the equilibrium contact angle. The maximum water contact angle on a smooth and flat surface is approximately 120° due to the large interaction between water molecules and substrate [2]. Roughness (such as microstructure or nanostructure) on such a surface can enhance the water contact angle further (150° < θ < 170°) [2]. Thus far, two general models, the Wenzel model and the Cassie-Baxter model, have been proposed to study the effect of surface roughness on wettability. θ H = θ ADV − θ REC [39]; reproduced with permission from the Royal Society of Chemistry.

Young's Equation
From a thermodynamics perspective, Young's equation, as given in Equation (1), provides the basic principle of the wetting phenomenon [35][36][37]. It is established based on the assumption that the solid surface is smooth and flat, and the system is ideal. It neglects influences such as surface roughness, size of droplets, liquid evaporation, surface swelling, vapor condensation, and chemical heterogeneity [36,103]. The contact angle is a balance of solid-gas, liquid-gas, and solid-liquid interfacial forces under thermodynamic equilibrium (Figure 3a) [32][33][34][35][36]39,104].
where γ SL , γ LG , and γ SG are the interfacial tensions of solid-liquid, liquid-gas, and solid-gas interfaces, respectively. θ C is the equilibrium contact angle. The maximum water contact angle on a smooth and flat surface is approximately 120 • due to the large interaction between water molecules and substrate [2]. Roughness (such as microstructure or nanostructure) on such a surface can enhance the water contact angle further (150 • < θ < 170 • ) [2]. Thus far, two general models, the Wenzel model and the Cassie-Baxter model, have been proposed to study the effect of surface roughness on wettability.
(b) The Wenzel model: a water droplet penetrates into cavities [33]; reproduced with permission from Annual Reviews. (c) The Cassie-Baxter model: a water droplet sits on the top of structures [47]; reproduced with permission from the Royal Society of Chemistry.  [34]; reproduced with permission from the American Chemical Society.
(b) The Wenzel model: a water droplet penetrates into cavities [33]; reproduced with permission from Annual Reviews. (c) The Cassie-Baxter model: a water droplet sits on the top of structures [47]; reproduced with permission from the Royal Society of Chemistry.

The Wenzel Model
Wenzel comprehensively studied the effect of surface roughness on wettability, obtaining that the wettability is proportional to the surface roughness of the wetted area [2]. As shown in Figure 3b, in the Wenzel state, water is in contact with the solid surface at all points, including cavities. This results in a greater actual contact area than what is observed (observed contact area calculated from the contact line of water droplet and substrate) [2,99]. The relationship between the apparent contact angle and the surface roughness is described in Equation (2) [2]: where θ* is the apparent contact angle on the rough surface, and r, commonly called the surface roughness, is defined as the ratio of the actual area over the apparent area. Equation (2) indicates that an increased roughness makes a hydrophobic (θ > 90 • ) surface more hydrophobic, while a hydrophilic surface will become more hydrophilic [11]. That is, the surface roughness amplifies the wettability of the smooth surface. However, the wettability of a surface with an extremely high roughness and a porous structure cannot be predicted by the Wenzel model, since an extremely high roughness results in values of cosθ* greater than 1 or less than −1, which is not mathematically possible. In order to solve the problem, Cassie and Baxter developed the Cassie-Baxter model [39].

The Cassie-Baxter Model
As illustrated in Figure 3c, in the Cassie-Baxter model, water rests on the protrusions of the structured surface [47]. The trapped air in the cavities is seen as a non-wetting medium, preventing the droplet from penetrating [6,47], so that the droplet can easily roll off when the surface is slightly tilted. The Cassie-Baxter equation relates the apparent contact angle to the contact angle on flat surface: where θ is the contact angle on an ideal flat surface, θ * is the apparent contact angle, and Φ s is the fraction of the solid in contact with the liquid. Compared to the Wenzel model, the Cassie-Baxter model can achieve a θ * > 90 • , even when θ C < 90 • on a flat surface.

Wetting Transition
In most practical situations, liquid-solid contact might change from the Cassie-Baxter model to the Wenzel model irreversibly due to changes in pressure, evaporation, condensation, or any combination of the three [105][106][107]. The threshold value θ Cr is defined as the transition point of the Cassie-Wenzel state. Combining the Wenzel and Cassie-Baxter equation, the threshold value θ Cr can be determined from Equation (4) [36]: (4) Figure 4a shows the apparent contact angle cos θ * plotted as a function of contact angle cos θ with the solid line displaying the anticipated behavior. The dotted line represents the Cassie regime under a moderate hydrophobicity to stress its metastability [3]. The transition process is complicated, and many factors, such as the Laplace pressure ∆P across the liquid-air interface, as given in Equation (5), are involved [36].
where γ lg is the surface tension of the liquid, and R d is the radius of the droplet. complicated, and many factors, such as the Laplace pressure ∆P across the liquid-air interface, as given in Equation (5), are involved [36].
where g is the surface tension of the liquid, and Rd is the radius of the droplet. Two Cassie-Wenzel transition cases have been proposed in the literature (Figure 4b) [105]: touch-down and sliding. The "touch-down" case studies the surface with low pillar height, while the "sliding" case focuses on the case with high pillar height. In the "touch-down" scenario, the droplet penetration depends on the droplet pressure and the critical impalement pressure. This is defined in Equation (6) where imp is the critical impalement pressure, γ is the surface tension of the testing liquid, h is the height of the pillars, R is the radius of the pillars, and CC is the center-center spacing of two pillars. If the external pressure of the water droplet exceeds Pimp, liquid penetrates into the grooves and the Cassie-Baxter model transfers into the Cassie-Wenzel state [109][110][111]. The critical impalement pressure of the "sliding" case is expressed as [105] = 2φ 1 − φ |cos (θ ADV )| where φ is the solid fraction, is the advancing contact angle, γ is the surface tension of the testing liquid, and R is the radius of the pillars. If the contact angle is greater than , then the liquid will spontaneously penetrate into the cavities and reach the bottom [97]. Physical features such as the height of the microstructures and the spacing between grooves strongly influence the Cassie-Wenzel transition. C. Ran et al. [107] studied the influence of the diameter and the depth of nanoholes and pointed out that decreasing the diameter and depth of nanoholes can lead to the transition of the Cassie state to the Wenzel state.

Superoleophobic Surface Design
Due to the extremely low surface tension of oils/organic liquids, it is difficult to achieve superoleophobicity. The principles of developing superoleophobic surfaces are sufficient roughness, trifluoromethyl groups, and special structures (e.g., hierarchical/re-entrant), which follow the roles of designing superhydrophobic surfaces. Besides the theories of Young's equation, the Wenzel state, the Cassie-Baxter state, and the wetting transition can also be applied to explain the phenomena in superoelophobic fabrication [35][36][37]. Two Cassie-Wenzel transition cases have been proposed in the literature (Figure 4b) [105]: touch-down and sliding. The "touch-down" case studies the surface with low pillar height, while the "sliding" case focuses on the case with high pillar height. In the "touch-down" scenario, the droplet penetration depends on the droplet pressure and the critical impalement pressure. This is defined in Equation (6) [105]: where P imp is the critical impalement pressure, γ is the surface tension of the testing liquid, h is the height of the pillars, R is the radius of the pillars, and CC is the center-center spacing of two pillars. If the external pressure of the water droplet exceeds P imp , liquid penetrates into the grooves and the Cassie-Baxter model transfers into the Cassie-Wenzel state [109][110][111]. The critical impalement pressure of the "sliding" case is expressed as [105] where ϕ is the solid fraction, θ ADV is the advancing contact angle, γ is the surface tension of the testing liquid, and R is the radius of the pillars. If the contact angle θ is greater than θ C , then the liquid will spontaneously penetrate into the cavities and reach the bottom [97]. Physical features such as the height of the microstructures and the spacing between grooves strongly influence the Cassie-Wenzel transition. C. Ran et al. [107] studied the influence of the diameter and the depth of nanoholes and pointed out that decreasing the diameter and depth of nanoholes can lead to the transition of the Cassie state to the Wenzel state.

Superoleophobic Surface Design
Due to the extremely low surface tension of oils/organic liquids, it is difficult to achieve superoleophobicity. The principles of developing superoleophobic surfaces are sufficient roughness, trifluoromethyl groups, and special structures (e.g., hierarchical/re-entrant), which follow the roles of designing superhydrophobic surfaces. Besides the theories of Young's equation, the Wenzel state, the Cassie-Baxter state, and the wetting transition can also be applied to explain the phenomena in superoelophobic fabrication [35][36][37].

Superhydrophilic Structures
Superhydrophilicity is a characteristic of any surface with a high surface energy. Superhydrophobic surfaces have a water contact angle of less than 10 • , sometimes close to 0 • , which corresponds to the complete wetting state [112][113][114]. Two important factors for the superhydrophilicity are surface structure and surface chemistry [2,47]. Superhydrophilicity is an important issue for plants in nature, because it involves many activities such as the water and nutrition uptake as well as the activity of photosynthesis [113]. Wetting behaviors on the surface of plants are divided into three cases based on surface structure and chemistry: a smooth surface with high surface energy that is permanently wetted; porous and multiple structure surfaces that absorb water; and hierarchical micro-/nanostructure surfaces for immediate water spreading [1]. In nature, the pitcher plant and the ruelliadevosiana leaf, among others, illustrate the critical role of superhydrophilicity on plant survival. Figure 5a shows the external shape of a pitcher plant which is superhydrophilic [115]. The surface absorbs water moisture to form a thin water film, leading to a slippery surface that can trap insects as food. Its superhydrophilicity comes from two aspects: the covered coating of hydrophilic hygroscopic nectar and its microstructure. The analysis of the microstructure of the peristome revealed that its surface was composed of well-ordered microgrooves with a pitch value of 500 µm [100]. According to the Wenzel theory, surface roughness or structures make a hydrophilic surface more hydrophilic. The microgrooves on the pitcher plant are covered by a hydrophilic hygroscopic nectar, which contributes to the superhydrophilicity. Figure 5c shows 5 µL of water droplets spread on the ruelliadevosiana leaf over 0.2 s (Figure 5c), indicating a superhydrophilic surface [113]. The microstructure of the ruelliadevosiana leaf is different from the pitcher plant, as shown in Figure 5d. The surface has a hierarchical structure containing hair papillae, papillae cells, glands, and channel structures. In addition, surface chemistry analysis of the leaf proved that the gland substrate is hydrophilic.

Superhydrophilic Structures
Superhydrophilicity is a characteristic of any surface with a high surface energy. Superhydrophobic surfaces have a water contact angle of less than 10°, sometimes close to 0°, which corresponds to the complete wetting state [112][113][114]. Two important factors for the superhydrophilicity are surface structure and surface chemistry [2,47]. Superhydrophilicity is an important issue for plants in nature, because it involves many activities such as the water and nutrition uptake as well as the activity of photosynthesis [113]. Wetting behaviors on the surface of plants are divided into three cases based on surface structure and chemistry: a smooth surface with high surface energy that is permanently wetted; porous and multiple structure surfaces that absorb water; and hierarchical micro-/nanostructure surfaces for immediate water spreading [1]. In nature, the pitcher plant and the ruelliadevosiana leaf, among others, illustrate the critical role of superhydrophilicity on plant survival. Figure 5a shows the external shape of a pitcher plant which is superhydrophilic [115]. The surface absorbs water moisture to form a thin water film, leading to a slippery surface that can trap insects as food. Its superhydrophilicity comes from two aspects: the covered coating of hydrophilic hygroscopic nectar and its microstructure. The analysis of the microstructure of the peristome revealed that its surface was composed of well-ordered microgrooves with a pitch value of 500 μm [100]. According to the Wenzel theory, surface roughness or structures make a hydrophilic surface more hydrophilic. The microgrooves on the pitcher plant are covered by a hydrophilic hygroscopic nectar, which contributes to the superhydrophilicity. Figure 5c shows 5 μL of water droplets spread on the ruelliadevosiana leaf over 0.2 s (Figure 5c), indicating a superhydrophilic surface [113]. The microstructure of the ruelliadevosiana leaf is different from the pitcher plant, as shown in Figure 5d. The surface has a hierarchical structure containing hair papillae, papillae cells, glands, and channel structures. In addition, surface chemistry analysis of the leaf proved that the gland substrate is hydrophilic.  [115]; reproduced with permission from The Royal Society. (c) Ruelliadevosiana leaf wetted by water with a contact angle of 0° and (d) its microstructure taken by SEM [114]; reproduced with permission from the American Chemical Society.  [115]; reproduced with permission from The Royal Society. (c) Ruelliadevosiana leaf wetted by water with a contact angle of 0 • and (d) its microstructure taken by SEM [114]; reproduced with permission from the American Chemical Society.  [116]. The superhydrophobicity and low CAH provides a lotus leaf with a self-cleaning property. Scientists define this property of the lotus leaf as the "lotus effect" [33,34,116]. Microstructure investigation showed that the lotus leaf is composed of micro scale papillae (Figure 6b), and each single micropapilla consists of many nano-sized nipples, forming a hierarchical structure (Figure 6c) [116]. Surface chemistry analysis indicates that the multiple micro-/nanostructure is covered with a thin layer of wax, which reduces the surface energy of the lotus leaf and makes the surface hydrophobic. Additionally, the multiple micro-/nanostructures significantly enhance surface hydrophobicity, so the lotus leaf maintains the superhydrophobic state [2,47,116]. The rice leaf is another common example in nature exhibiting the "lotus effect." Water droplets bead up on the rice leaf without wetting and spreading (Figure 6d) [35]. However, the water droplet can easily roll off from the surface along the "a" direction, which parallels to the arrays of papillae (Figure 6e). The water droplet adheres to the rice leaf when it is tilted in the "b" direction, which is perpendicular to the arrays of papillae (Figure 6e). The microstructure of the rice leaf is similar to that of the lotus leaf: plenty of well-arranged microparticles are aligned on the surface, and each individual microparticle is composed of nanofibers. The length of these nanofibers reaches 1-2 µm, with a diameter of about 200 nm (Figure 6f) [35]. Also like the lotus leaf, the well-arranged microparticles form two-dimensional structures, displaying varied wettability in each direction. The contact angle in the parallel direction is 153 • , and that in the perpendicular direction is 146 • [35]. Furthermore, the water droplet can easily slide off along the parallel direction, while the water droplet steadily adheres to the leaf when titled in the direction perpendicular to the arrangement direction.

Natural Structures with the "Lotus Effect"
Superhydrophobicity is the ability of a solid surface to repel water, exhibiting a water contact angle ranging from 150° to 180° [47]. The measured water contact angle on a lotus leaf is 162°, ( Figure  6a) with a low contact angle hysteresis (CAH) of 2° [116]. The superhydrophobicity and low CAH provides a lotus leaf with a self-cleaning property. Scientists define this property of the lotus leaf as the "lotus effect" [33,34,116]. Microstructure investigation showed that the lotus leaf is composed of micro scale papillae (Figure 6b), and each single micropapilla consists of many nano-sized nipples, forming a hierarchical structure (Figure 6c) [116]. Surface chemistry analysis indicates that the multiple micro-/nanostructure is covered with a thin layer of wax, which reduces the surface energy of the lotus leaf and makes the surface hydrophobic. Additionally, the multiple micro-/nanostructures significantly enhance surface hydrophobicity, so the lotus leaf maintains the superhydrophobic state [2,47,116]. The rice leaf is another common example in nature exhibiting the "lotus effect." Water droplets bead up on the rice leaf without wetting and spreading (Figure 6d) [35]. However, the water droplet can easily roll off from the surface along the "a" direction, which parallels to the arrays of papillae (Figure 6e). The water droplet adheres to the rice leaf when it is tilted in the "b" direction, which is perpendicular to the arrays of papillae (Figure 6e). The microstructure of the rice leaf is similar to that of the lotus leaf: plenty of well-arranged microparticles are aligned on the surface, and each individual microparticle is composed of nanofibers. The length of these nanofibers reaches 1-2 μm, with a diameter of about 200 nm ( Figure  6f) [35]. Also like the lotus leaf, the well-arranged microparticles form two-dimensional structures, displaying varied wettability in each direction. The contact angle in the parallel direction is 153°, and that in the perpendicular direction is 146° [35]. Furthermore, the water droplet can easily slide off along the parallel direction, while the water droplet steadily adheres to the leaf when titled in the direction perpendicular to the arrangement direction. (c) High magnification of a micropapilla consisting of nanonipples [35]; reproduced with permission from The Royal Society of Chemistry. (d) A rice leaf with superhydrophobicity [35]. (e) The microstructure of the rice leaf, similar to the lotus leaf [116]. (f) High magnification of micro-particles of the rice leaf, which are composed of nanoscale fibers [35].
Besides plant leaves, which present superhydrophobicity and self-cleaning properties, many insects and animals also exhibit their own specific water repellent and self-cleaning properties as well as drag reduction in fluid flows [117][118][119][120][121]. Several examples with special structures and 100 μm (c) High magnification of a micropapilla consisting of nanonipples [35]; reproduced with permission from The Royal Society of Chemistry. (d) A rice leaf with superhydrophobicity [35]. (e) The microstructure of the rice leaf, similar to the lotus leaf [116]. (f) High magnification of micro-particles of the rice leaf, which are composed of nanoscale fibers [35].
Besides plant leaves, which present superhydrophobicity and self-cleaning properties, many insects and animals also exhibit their own specific water repellent and self-cleaning properties as well as drag reduction in fluid flows [117][118][119][120][121]. Several examples with special structures and superhydrophobicity are shown in Figure 7. The water strider can walk quickly on water surfaces ( Figure 7a) [117] with its non-wetted legs. Investigation on the microstructure of strider legs has unveiled that water strider legs are covered with a mass of oriented micro-/nano-sized needle-shaped setae ( Figure 7b) [117]. These micro-/nano-sized setae structures trap air in the structure, forming non-wetted air pockets that provide a superhydrophobic state with a static water contact angle of 167.6 • ± 4.4 • [117]. The butterfly is another creature in nature that exhibits superhydrophobic properties. Its superhydrophobic and self-cleaning wings enable it to fly in the rain and stay clean in dirty environments. The SEM image in Figure 7c shows that the superhydrophobicity of butterfly wings is attributed to the hierarchical structures composed of nano-grooves/micro-anisotropic aligned sheets (Figure 7c,d) [118]. Compared to butterfly wings, cicada wings are made of nanoscale pillars. The center-center spacing of nanopillars is around 110-140 nm, and the height of the nanopillars is in the range of 220-250 nm (Figure 7e) [121]. The waxy coating on these regular nanopillar arrays is responsible for the lower surface energy, which explains the superhydrophobicity of cicada wings (a water contact angle of 160 • ).
Polymers 2017, 9(12), 725 9 of 33 superhydrophobicity are shown in Figure 7. The water strider can walk quickly on water surfaces ( Figure 7a) [117] with its non-wetted legs. Investigation on the microstructure of strider legs has unveiled that water strider legs are covered with a mass of oriented micro-/nano-sized needle-shaped setae ( Figure 7b) [117]. These micro-/nano-sized setae structures trap air in the structure, forming non-wetted air pockets that provide a superhydrophobic state with a static water contact angle of 167.6° ± 4.4° [117]. The butterfly is another creature in nature that exhibits superhydrophobic properties. Its superhydrophobic and self-cleaning wings enable it to fly in the rain and stay clean in dirty environments. The SEM image in Figure 7c shows that the superhydrophobicity of butterfly wings is attributed to the hierarchical structures composed of nano-grooves/micro-anisotropic aligned sheets (Figures 7c,d) [118]. Compared to butterfly wings, cicada wings are made of nanoscale pillars. The center-center spacing of nanopillars is around 110-140 nm, and the height of the nanopillars is in the range of 220-250 nm ( Figure 7e) [121]. The waxy coating on these regular nanopillar arrays is responsible for the lower surface energy, which explains the superhydrophobicity of cicada wings (a water contact angle of 160°). The micro-/nanostructure of water strider legs [117]. (c) The step-like butterfly wing [118] and (d) high-resolution microimage [118]; reproduced with permission from The Royal Society of Chemistry. (e) The microstructure of cicada wings [121]; reproduced with permission from IOP Science.

"Petal Effect"
The other well-known superhydrophobicity phenomenon is the "petal effect" [33]. Surfaces with the "petal effect" show a superhydrophobic state with a static water contact angle greater than 150°, but with a strong adhesion to water [122]. The contact angle hysteresis of the "petal effect" structure is very large. For instance, the water droplet sticks to the rose petal even when it is placed upside down [123,124]. Surfaces with the "petal effect" are not rare in nature, as they are found on garlic cloves, rose petal, lizards, gecko feet, etc. [33,35,123,124]. These materials have broad applications, such as the transport of microliter-sized superparamagnetic liquid droplets by alternating magnetic fields and friction reduction [33,35]. Figure 8a shows the microstructure of rose 600 nm Figure 7. (a) Water strider walks on water [117]; reproduced with permission from Nature Publishing Group. (b) The micro-/nanostructure of water strider legs [117]. (c) The step-like butterfly wing [118] and (d) high-resolution microimage [118]; reproduced with permission from The Royal Society of Chemistry. (e) The microstructure of cicada wings [121]; reproduced with permission from IOP Science.

"Petal Effect"
The other well-known superhydrophobicity phenomenon is the "petal effect" [33]. Surfaces with the "petal effect" show a superhydrophobic state with a static water contact angle greater than 150 • , but with a strong adhesion to water [122]. The contact angle hysteresis of the "petal effect" structure is very large. For instance, the water droplet sticks to the rose petal even when it is placed upside down [123,124]. Surfaces with the "petal effect" are not rare in nature, as they are found on garlic cloves, rose petal, lizards, gecko feet, etc. [33,35,123,124]. These materials have broad applications, such as the transport of microliter-sized superparamagnetic liquid droplets by alternating magnetic fields and friction reduction [33,35]. Figure 8a shows the microstructure of rose petals with hierarchical microbumps on rose petals [33]. Many nanofolds were found on the top of a single microbump ( Figure 8b) [33]. This multiple hierarchical micro-/nanostructure resulted in a water contact angle of 152 • (Figure 8c) [33]. However, the water droplet clings on the surface without moving, even when inverted (Figure 8d), indicating a strong adhesion force [1]. Compared with the lotus leaf, the pitch value (center-center spacing between microbumps) of the microbumps and nanofolds on rose petals are greater, and the depth of the microvallies is much shallower. With these parameters, water can easily penetrate the bottom of the pillar structure, forming Wenzel-state superhydrophobicity, as illustrated in Figure 8e. The water droplet makes full contact with the microstructure, and the left part is held by the structures without penetration, so the surface of the rose petals shows a stronger adhesion to the water droplet. On the contrary, more air pockets are formed between the microstructures with a lower pitch value and higher pillars, as illustrated in Figure 8f. This kind of structure prevents the penetration of liquid and minimizes the contact area between the water and the surface, eventually resulting in a superhydrophobic surface with a lower contact angle hysteresis and a lower adhesion [122,123]. This surface phenomenon that has superhydrophobicity and excellent self-cleaning properties is regarded as a Cassie-Baxter state.
Polymers 2017, 9(12), 725 10 of 33 petals with hierarchical microbumps on rose petals [33]. Many nanofolds were found on the top of a single microbump (Figure 8b) [33]. This multiple hierarchical micro-/nanostructure resulted in a water contact angle of 152° ( Figure 8c) [33]. However, the water droplet clings on the surface without moving, even when inverted (Figure 8d), indicating a strong adhesion force [1]. Compared with the lotus leaf, the pitch value (center-center spacing between microbumps) of the microbumps and nanofolds on rose petals are greater, and the depth of the microvallies is much shallower. With these parameters, water can easily penetrate the bottom of the pillar structure, forming Wenzel-state superhydrophobicity, as illustrated in Figure 8e. The water droplet makes full contact with the microstructure, and the left part is held by the structures without penetration, so the surface of the rose petals shows a stronger adhesion to the water droplet. On the contrary, more air pockets are formed between the microstructures with a lower pitch value and higher pillars, as illustrated in Figure 8f. This kind of structure prevents the penetration of liquid and minimizes the contact area between the water and the surface, eventually resulting in a superhydrophobic surface with a lower contact angle hysteresis and a lower adhesion [122,123]. This surface phenomenon that has superhydrophobicity and excellent self-cleaning properties is regarded as a Cassie-Baxter state.

Bio-Inspired Superhydrophilic Structures and Their Applications
Superhydrophilicity is a critical property for living creatures and man-made products. Beetles harvest water using their superhydrophilic shell in desert. Plants ensure their water supply through superhydrophilic leaves. Superhydrophilic surfaces play increasingly important roles in human life: superhydrophilic meshes for oil/water separation [96,[125][126][127][128], anti-fogging superhydrophilic glasses [129], superhydrophilic papers for easy printing [130], self-cleaning [131,132], anti-biofouling [133][134][135], corrosion resistance [136], friction reduction [137], etc. As a consequence, a variety of bio-inspired superhydrophilic structures, (i.e., a porous/ hierarchical/sponge structure, micro-/nanofibers/pillars/beads/tubes, and polymer coated meshes) [59,96,125,128,129,134,135,[138][139][140][141][142] have been developed through the techniques of polymerization [140,143,144], self-assembly [145], deposition [146], immersion [125], electrospinning, etc. [141,147]. Some common bio-inspired superhydrophilic structures, polymers, and modification techniques are summarized in Table 1. in situ polymerization [143] nanowire polypyrrole (PPy) chemical oxidative polymerization [144] carbon nanotubes poly(D,L-lactide acid, PDLLA) electrodeposition and immersion [146] carbon nanotubes/fibers poly(butylene adipate-co-terephthalate), multiwalled carbon nanotubes electrospinning [147] hierarchical membrane N-aminoethylpiperazine propane sulfonate (AEPPS) monomer, trimesoyl chloride (TMC) monomer interfacial polymerization [140] hierarchical nanofibrous membrane polyacrylonitrile (PAN) (pristine NFM) electrospinning and electrospraying [141] Plenty of superhydrophilic structures have been developed over the past few decades. Zhong et al. [144] successfully synthesized superhydrophilicpolypyrrole (PPy) nanowires 60-90 nm in diameter with contact angles of 0 • from hexadecyltrimethylammonium bromide (HTAB) and organic diacids via chemical oxidative polymerization. The production turned into nanoparticles 100-300 nm in diameter with the absence of HTAB. Both structures showed a contact angle of 0 • , indicating good superhydrophilicity. Ma et al. [148] developed superhydropilic polyvinylidene fluoride (PVDF) through electrospinning assisted by free radical polymerization. The diameter of as-synthesized nanofibers were around 40-100 nm and were wetted by water for 0.2 s. Liang et al. [133] investigated the anti-fouling behaviors of a superhydrophilic PVDF ultrafiltration membrane, which was modified by PAMA-bounded silica nanoparticles via phase separation and post-fabrication. An enhancement in selectivity on Ca 2+ and Mg 2+ showed that superhydrophilicity significantly improved the anti-fouling performance of the membrane. The enhanced selectivity was attributed to the secondary membrane, which was formed by the constructed second layer of the silica nanoparticles and the increased porosity after plasma treatment. The changed surface wettability and the hydration layer constructed on the PVDF membrane after superhydrophilic modification endowed the composite membrane with an anti-fouling property. Wang et al. [137] studied the effects of superhydrophilicity on friction reduction using molecular dynamic simulation. Results showed that the properly charged patterns on the polymer surface induced high-ordered water droplets and reduced the friction. Weng et al. [140] developed superhydrophilic zwitterionic polyamide anti-bacterial nanofiltration membranes through interfacial polymerization, and the hydrophilicity was adjusted via the content of N-aminoethylpiperazine propane sulfonate (AEPPS) monomer. The as-fabricated membrane showed high water permeability and selectivity. Its anti-bacterial property was enhanced because water molecules were bound to the surface of the membrane, prohibiting the adherence of foulants. Additionally, superhydrophilic materials were reported in detecting gastrodin in aqueous solutions. Ji et al. [142] reported a polymer with excellent superhydrophilicity prepared via molecular imprinting, which showed high selectivity to various organic compounds including gastrodin. The higher gastrodin adsorption capability was attributed to the functionalized superhydrophilicity. Currently, superhydrophilicity is used in water treatment for the elimination of oils and organics. Xue et al. [125] reported a superhydrophilic hierarchical structured mesh for oil/water separation by immersing a stainless steel mesh into a polyacrylamide (PAM) pre-gel solution. The prepared superhydrophilic mesh showed a critically low oil adhesion in water, indicating an excellent self-cleaning property. The separation efficiency of gasoline, diesel, crude oil, vegetable oil, hexadecane, and petroleum ether was greater than 99%. Ge et al. [141] reported that a superhydrophilic hierarchical structured membrane was synthesized by electrospinning polyacrylonitrile (PAN) nanofibrous and then coated by spraying SiO 2 nanoparticles on the surface (Figure 9a-c). That both water and oil can wet and spread on the membrane verified its superhydrophilicity, and an oil contact angle of 163 • under water confirmed its underwater superoleophobicity (Figure 9d,e). Total organic carbon (TOC) measurement indicated that n-hexane-water emulsion was purified with TOC of less than 3 ppm after passing the PAN membrane, indicating a separation efficiency of greater than 99.9%.

Bio-Inspired Superhydrophobic Structures and Their Applications
The phenomenon of superhydrophobicity was first noticed on the lotus leaf: water droplets bead up and slide off at a small tilting angle. Later, other superhydrophobic surfaces in nature were found. A hierarchical micro-/nanostructures and a low surface energy are the two dominant factors ensuring a lotus leaf with superhydrophobicity and self-cleaning properties. Nevertheless, the superhydrophobic surfaces in nature are not always self-cleaning. For instance, water droplets strongly adhere to rose petals even when they are placed in reverse because water pins to the cavities adhering to the structure. After the mechanisms behind superhydrophobicity were well understood, mimicking the superhydrphobic structures for practical applications underwent rapid development. A variety of bio-inspired superhydrophobic structures, such as microgrooves [33], nanoparticles [78], micro-/nanopores [81], micro-/nanopillars [14], and micro-/nanofibers [13], have Superhydrophilic membranes have been widely adopted for oil/water separation in wastewater treatment, taking advantage of their high separation efficiency and flux. On the other hand, the separation performances of the superhydrophilic membranes might decline due to their poor mechanical performances and the fact that they are easily contaminated by oils. Thus, new materials that overcome these drawbacks are in high demand. Polymers such as PDMS (polydimethylsiloxane), PU (polyurethane), and polystyrene have shown excellent flexibility and stretchability and are regarded as ideal candidates for superhydrophilic materials [140][141][142][143][144][145][146][147][148]. Xu et al. [127] developed a three-dimensional hierarchical oil/water separation sponge, which produced a transparent milk-like oil/water emulsion over a period of 5 min, by mixing 3% (w/w) chitosan with 10% (w/w) polyacrylamide (PAM) as a pre-gel solution (Figure 9f). The fabricated sponge had a water contact angle of 0 • and quickly spread on the sponge, while the underwater oil contact angle was around 134 • , indicating a good oil-absorbing ability.

Bio-Inspired Superhydrophobic Structures and Their Applications
The phenomenon of superhydrophobicity was first noticed on the lotus leaf: water droplets bead up and slide off at a small tilting angle. Later, other superhydrophobic surfaces in nature were found. A hierarchical micro-/nanostructures and a low surface energy are the two dominant factors ensuring a lotus leaf with superhydrophobicity and self-cleaning properties. Nevertheless, the superhydrophobic surfaces in nature are not always self-cleaning. For instance, water droplets strongly adhere to rose petals even when they are placed in reverse because water pins to the cavities adhering to the structure. After the mechanisms behind superhydrophobicity were well understood, mimicking the superhydrphobic structures for practical applications underwent rapid development. A variety of bio-inspired superhydrophobic structures, such as microgrooves [33], nanoparticles [78], micro-/nanopores [81], micro-/nanopillars [14], and micro-/nanofibers [13], have since been developed. The extensive study of bio-inspired structures with superhydrophobicity and remarkable self-cleaning properties has led to the development of bio-mimetic products, such as self-cleaning glasses [6,117], self-cleaning fabrics [149], anti-icing coating [56], erosion prevention surfaces [31,57], and friction and drag reduction coatings [94,150,151]. Many superhydrophobic materials have been reported, most of which have been metals and inorganic materials, but polymeric bio-inspired superhydrophobic structures lack systematic study. Table 2 summarizes the typical structures, polymeric materials, and techniques involved in developing bio-inspired superhydrophobic structures.
Over the last few decades, a variety of techniques have been reported to develop superhydrophobic surfaces, including electrospinning, spray coating, mold transfer, UV treatment, laser structuring, polymerization, layer-layer assembly, chemical/electro vapor deposition, nano imprinting, dip-coating, and click-chemistry (Thiol-Yne click-chemistry, Huisgen reactions, Staudinger-Vilarrasa reactions) . Zhang et al. [165] fabricated superhydrophobic and self-cleaning surfaces using laminating exfoliation ( Figure 10). In this method, a polypropylene/ high-density polyethylene blended film, fabricated via hot compression, and a high-density polyethylene plate were placed on top of each other and then conducted by hot compression of 3 MPa at 200 • C for 2 min (Figure 10a). After the two plates were cooled, they were peeled to separate (Figure 10b), resulting in a nanostructure with superhydrophobicity ( Figure 10c). Gong et al. [176] utilized hot embossing to construct a superhydrophobic (water contact angle: 154.6 • ) and self-cleaning (sliding-off angle: 5.5 • ) polytetrafluoroethylene (PTFE) surface. Firstly, hierarchical micro-/nano-sized holes on stainless steel were developed assisted by a pico-second laser as a template mold to transfer a hierarchical micro-/nanostructure onto the PTFE. The PTFE was melted and compressed onto the as-prepared mold under a pressure of 55-88 MPa at 150 • C for 2-15 min. The obtained lotus-leaf-like structure was 24 µm in diameter and about 30 µm in height. The nanostructures were around 300 nm, showing a water contact angle of as high as 154.6 • and a sliding off angle of as low as 5.5 • . Toosi et al. [177] applied femto-second laser irradiation and the template free method to develop superhydrophobic PTFE micro-nano hierarchical structures and investigated the effects of fluence, scanning speed, and beam over-lap on surface morphology and wettability. Results showed that a superhydrophobic surface (160 • ) was created at the condition of a laser frequency of above 28 J/m 2 and a scanning speed of lower than 0.5 mm/s. Söz et al. [178] reported a simple spin-coating and cutting approach for fabricating superhydrophobic micro-/nano hierarchical structure on silica/polystyrene and silica/epoxy resin composites, achieving a water contact angle of 163.8 • . The polystyrene/silica composites were spin-coated onto glass slides and were cut by a doctor blade (thicknesses of 200, 125 and 50 mm), obtaining a hierarchical superhydrophobic structure. Liu et al. [50] explored the approach of spray-coating PMMA/PDMS onto a substrate and achieved a superhydrophobic (water contact angle: 164.3 • ) and self-cleaning (sliding-off angle: 3.2 • ) porous surface.   Figure 10. Illustration of using laminating exfoliation to develop a superhydrophobic structure (a,b) [165] and (c) the obtained nanofiber-like structure [165]; reproduced with permission from the Royal Society of Chemistry.
A superhydrophobic and superoleophilic polyester-PDMS porous membrane was developed by spray-coating for oil/water separation [194]. The obtained membrane had a diameter around 0.1-0.8 µ m and showed excellent superhydrophobicity and self-cleaning properties, with a water contact angle of 163° and a sliding off angle of 2.3°. By increasing the concentration of the copolymer solution, continuous pores with a diameter ranging from 40 to 150 nm were formed. The oil/water separation efficiency of these fabricated membranes was higher than 99% and the membranes were reusable after oil/water separation. Another important application of superhydrophobic materials is anti-icing on surfaces. Superhydrophobic micro-/nanostructures have been shown to be effective in delaying freezing due to the slight contact between the water and the substrate. Furthermore, it is well known that surfaces with higher water contact angles can reduce the formation rate of ice nuclei, which is what anti-icing consists in [195,196]. Emelyanenko et al. [195] reported that superhydrophobicity (water contact angle: 168°) and excellent self-cleaning properties (sliding-off angle: 2.5°) were achieved through the laser texture method and through fluorooxysilan-coating using PDMS and silica nanoparticles as composites ( Figure 11). The anti-icing experiment carried out under −10 °C and −18 °C showed that water droplets retained a metastable state on hydrophobic and superhydrophobic surfaces in a super-cooled atmosphere, and the work of adhesion increased with the decrease in the water contact angle, indicating improved the anti-icing properties of the superhydrophobic structure.
Though extensively artificial superhydrophobic structures have been developed, surfaces contaminated by bacteria, oils, dust, and other waste adversely affects their performances. Fu et al. [51] studied the anti-bacterial, superhydrophobic, and self-cleaning surfaces which were brought peeling direction peeling direction (a) (b) (c) Figure 10. Illustration of using laminating exfoliation to develop a superhydrophobic structure (a,b) [165] and (c) the obtained nanofiber-like structure [165]; reproduced with permission from the Royal Society of Chemistry.
A superhydrophobic and superoleophilic polyester-PDMS porous membrane was developed by spray-coating for oil/water separation [194]. The obtained membrane had a diameter around 0.1-0.8 µm and showed excellent superhydrophobicity and self-cleaning properties, with a water contact angle of 163 • and a sliding off angle of 2.3 • . By increasing the concentration of the copolymer solution, continuous pores with a diameter ranging from 40 to 150 nm were formed. The oil/water separation efficiency of these fabricated membranes was higher than 99% and the membranes were reusable after oil/water separation. Another important application of superhydrophobic materials is anti-icing on surfaces. Superhydrophobic micro-/nanostructures have been shown to be effective in delaying freezing due to the slight contact between the water and the substrate. Furthermore, it is well known that surfaces with higher water contact angles can reduce the formation rate of ice nuclei, which is what anti-icing consists in [195,196]. Emelyanenko et al. [195] reported that superhydrophobicity (water contact angle: 168 • ) and excellent self-cleaning properties (sliding-off angle: 2.5 • ) were achieved through the laser texture method and through fluorooxysilan-coating using PDMS and silica nanoparticles as composites ( Figure 11). The anti-icing experiment carried out under −10 • C and −18 • C showed that water droplets retained a metastable state on hydrophobic and superhydrophobic surfaces in a super-cooled atmosphere, and the work of adhesion increased with the decrease in the water contact angle, indicating improved the anti-icing properties of the superhydrophobic structure.
Though extensively artificial superhydrophobic structures have been developed, surfaces contaminated by bacteria, oils, dust, and other waste adversely affects their performances. Fu et al. [51] studied the anti-bacterial, superhydrophobic, and self-cleaning surfaces which were brought about by the durable self-cleaning performances and dominates the long-life time application of superhydrophobic materials. In their study, poly(urea-formal-dehyde) (PUF) and hexamethylenediisocyanate (HMDI) were used to construct superhydrophobic structures via copolymerization, spray-coating, and thermal curing. The surface morphology and wettability were tuned via the content of PUF and HMDI. The largest water contact angle was 162.3 • , and the lowest sliding-off angle was 3.2 • . This outstanding superhydrophobicity and relatively small rolling-off angle enabled water to carry away contaminates. Furthermore, the superhydrophobic surface was functionalized with quaternary ammonium salts, which adhered strongly to negative bacteria such as S. aureus. This functionalized property, combined with superhydrohobicity and self-cleaning, contributed to its anti-bacterial performance.
Polymers 2017, 9(12), 725 17 of 33 about by the durable self-cleaning performances and dominates the long-life time application of superhydrophobic materials. In their study, poly(urea-formal-dehyde) (PUF) and hexamethylenediisocyanate (HMDI) were used to construct superhydrophobic structures via copolymerization, spray-coating, and thermal curing. The surface morphology and wettability were tuned via the content of PUF and HMDI. The largest water contact angle was 162.3°, and the lowest sliding-off angle was 3.2°. This outstanding superhydrophobicity and relatively small rolling-off angle enabled water to carry away contaminates. Furthermore, the superhydrophobic surface was functionalized with quaternary ammonium salts, which adhered strongly to negative bacteria such as S. aureus. This functionalized property, combined with superhydrohobicity and self-cleaning, contributed to its anti-bacterial performance. Figure 11. Reinforced superhydrophobic coating on silicone rubber for excellent anti-icing performance under −10 °C [195]; reproduced with permission from the American Chemical Society.
Feng et al. [124] mimicked a rose petal structure using polystyrene, and the duplicated structure is shown in Figure 12a. Water droplets stuck to the surface even when they were placed upside down, implying superhydrophobicity and strong adhesion. Ebert et al. [123] studied the wear resistance of the bio-mimetic rose petal structure via a replicating microstructure of a Si micromodel. The overall structure consisted of low-density micropillars with large center-center spacing, as shown in Figure 12b [123]; the inset image shows the single pillar's surface, which was covered by nanoparticles. This hierarchical structure gave rise to strong adhesion to water, not dropping from the surface when it was inverted. The evaluation of roughness performed under AFM (Figure 13c) indicated that the surface was anti-wear ( Figure 12c). The root mean square roughness (RMS) and peak-valley roughness (PV), which were 463 and 1782 nm before the test, respectively, were 455 and 1759 nm after sliding, respectively.  Figure 11. Reinforced superhydrophobic coating on silicone rubber for excellent anti-icing performance under −10 • C [195]; reproduced with permission from the American Chemical Society.
Feng et al. [124] mimicked a rose petal structure using polystyrene, and the duplicated structure is shown in Figure 12a. Water droplets stuck to the surface even when they were placed upside down, implying superhydrophobicity and strong adhesion. Ebert et al. [123] studied the wear resistance of the bio-mimetic rose petal structure via a replicating microstructure of a Si micromodel. The overall structure consisted of low-density micropillars with large center-center spacing, as shown in Figure 12b [123]; the inset image shows the single pillar's surface, which was covered by nanoparticles. This hierarchical structure gave rise to strong adhesion to water, not dropping from the surface when it was inverted. The evaluation of roughness performed under AFM (Figure 13c) indicated that the surface was anti-wear ( Figure 12c). The root mean square roughness (RMS) and peak-valley roughness (PV), which were 463 and 1782 nm before the test, respectively, were 455 and 1759 nm after sliding, respectively. about by the durable self-cleaning performances and dominates the long-life time application of superhydrophobic materials. In their study, poly(urea-formal-dehyde) (PUF) and hexamethylenediisocyanate (HMDI) were used to construct superhydrophobic structures via copolymerization, spray-coating, and thermal curing. The surface morphology and wettability were tuned via the content of PUF and HMDI. The largest water contact angle was 162.3°, and the lowest sliding-off angle was 3.2°. This outstanding superhydrophobicity and relatively small rolling-off angle enabled water to carry away contaminates. Furthermore, the superhydrophobic surface was functionalized with quaternary ammonium salts, which adhered strongly to negative bacteria such as S. aureus. This functionalized property, combined with superhydrohobicity and self-cleaning, contributed to its anti-bacterial performance. Figure 11. Reinforced superhydrophobic coating on silicone rubber for excellent anti-icing performance under −10 °C [195]; reproduced with permission from the American Chemical Society.
Feng et al. [124] mimicked a rose petal structure using polystyrene, and the duplicated structure is shown in Figure 12a. Water droplets stuck to the surface even when they were placed upside down, implying superhydrophobicity and strong adhesion. Ebert et al. [123] studied the wear resistance of the bio-mimetic rose petal structure via a replicating microstructure of a Si micromodel. The overall structure consisted of low-density micropillars with large center-center spacing, as shown in Figure 12b [123]; the inset image shows the single pillar's surface, which was covered by nanoparticles. This hierarchical structure gave rise to strong adhesion to water, not dropping from the surface when it was inverted. The evaluation of roughness performed under AFM (Figure 13c) indicated that the surface was anti-wear ( Figure 12c). The root mean square roughness (RMS) and peak-valley roughness (PV), which were 463 and 1782 nm before the test, respectively, were 455 and 1759 nm after sliding, respectively.  [123]. (c) Wear test performed by AFM [123]; reproduced with permission from Elsevier.

Bio-Inspired Superoleophobic Structures
Generally, materials with only superhydrophobicity can be contaminated by organic oily species [60], which have surface tensions much lower than water. Materials that are both superhydrophobic and oleophobic are in high demand for many applications [150], such as anti-biofouling [182,197,198] for ships, non-stick [73] and corrosion-resistant [68] protective coating, cleaning polluted water [199], and anti-bacterial [200] coatings for cotton fabrics and microfluidics [53,201] in lab-on-a-chip systems. To fabricate materials that are able to achieve superhydrooleophobicity, bio-inspired micro-/nano-patterned structures [14,15,20] combined with surface energy reduction treatment [60] have been developed. Among those reports, fluorine compounds with a high percentage of -CF 3 and -CF 2 groups have been applied to reduce the surface tension of the patterned surface [197][198][199][200][201]. Table 3 shows examples of recent developments in the fabrication of bio-inspired oleophobic structures. Several surface modification approaches such as vapor deposition, liquid deposition, and electrospinning have been used to fabricate the biomimetic oleophobic materials [62][63][64][65][66][67]71,75,87,150,191,[202][203][204]. Even then, however, plasma treatment on superhydrooleophobic polymer surfaces may cause surface damage (such as cracks) [150], and the coating approach can worsen the surface roughness and cause surface defects, ultimately reducing the oleophobicity [205,206].
The comprehensive understanding of surface roughness/structure and surface energy on superhydrophobic structures inspired the development of superhydrooleophobic structures. The topics relating to oil adhesion, including bio-adhesion, microprinting, self-cleaning in oil-polluted water, antifouling, oil adhesion reduction, oil transportation and oil/water separation, have attracted significant attention [197][198][199][200][201][202][203][204][205][206][207]. On images from a printer, for example, the melted ink is supposed to print onto paper and adhere completely without adhering to the fuser roll. This requires the fuser roll surface to have a self-cleaning property, which can be achieved by functionalizing the surface with superoleophobicity. Zhao et al. [73] designed a superhydrooleophobic structure applied in paper printers, aiming to reduce the high adhesion between the fuser surface and the paper during the fusing process. As illustrated in Figure 13a, the melted toner or ink separated from the superoleophobic fuser surface without any residues, thus improving the efficiency of printing [73]. The adhesion behavior of melted ink was compared on an oleophilic surface (oil contact angle of 63 • , Figure 13b-f) and a superoleophobic textured micropillars surface (oil contact angle of 155 • , Figure 13g-k). When the ink was melted and detached from the fuser surface (Figure 13b-f), there were ink residues left behind due to the oleophobicity and a strong adhesion to the fuser surface. However, the melted ink separated from the fuser surface completely without remaining residues (Figure 13g-j), indicating that the superoleophobic surface had low adhesion and excellent self-cleaning properties.  (b-f) Illustration of the interaction between paper and molten ink droplets on an oleophilic PTFE substrate during the printing process. Part of the ink was left behind on the PTFE film and not completely printed onto the paper (f). (g-j) Illustration of the interaction between paper and molten ink droplets on superoleophobically textured silicon pillars. Ink was completely printed onto the paper (j). (k) shows the textured superoleophobic pillar arrays used in the printing process [73]; reproduced with permission from the American Chemical Society.
In addition, the superoleophobic materials play much more important roles in water/oil separation and oil transportation. In the water/oil separation industry, permeable membranes are commonly used materials [208]. However, most of these membranes are oleophilic with non-negligible oil adhesion, which lead to severe oil contamination [96]. Preventing the oil from penetrating the membrane can further decrease the water/oil separation efficiency. As refer to oil transportation, oil can easily form hydrates and these hydrates adhere to the inner walls of pipelines generating a dramatic increase in drag force, leading to a greater energy requirement for transporting the oil.
Oil adhesion has attracted extensive studies over the past few decades due to its important role in many industrial applications such as lubrication, lithographic etching, and anti-contamination [63,204,209,210]. Ambient temperature behaviors on varied surfaces ranging from oleophilic to superoleophobic have been well investigated. However, there is insufficient understanding of oil adhesion behavior at low temperature, especially when the oil is frozen at sub-zero (Celsius) temperatures. Such low-temperature phenomena are very important in scenarios such as oil freezing in engines or in oil transport pipelines, where the freezing leads to a dramatic increase in adhesive force, which requires substantial amounts of energy to overcome, potentially causing instrument failure as well [211][212][213][214][215]. Pan et al. [216,217] extensively studied the relationship between oleophobicity and frozen oil adhesion reduction by fabricating flat surfaces and superoleophobic micropillars with different aspect ratio ( Figure 14). These superoleophobic micropillars were constructed by blending fluoropolymer into PDMS via mold transfer. This blending approach showed its advantages on maintaining durable and better oil repellency comparing with traditional vapor deposition method (Figures 14a,b). The shapes of frozen oil droplets (kept at −30 °C for a while) were recorded, and the frozen adhesion forces were measured via knocking-off the frozen oil droplets (Figures 14c-f). The work of adhesion calculated and plotted against the frozen oil adhesion strength indicated a notable reduction in adhesion strength from superoleophobic micropillars (Figure 14g). (b-f) Illustration of the interaction between paper and molten ink droplets on an oleophilic PTFE substrate during the printing process. Part of the ink was left behind on the PTFE film and not completely printed onto the paper (f). (g-j) Illustration of the interaction between paper and molten ink droplets on superoleophobically textured silicon pillars. Ink was completely printed onto the paper (j). (k) shows the textured superoleophobic pillar arrays used in the printing process [73]; reproduced with permission from the American Chemical Society.
In addition, the superoleophobic materials play much more important roles in water/oil separation and oil transportation. In the water/oil separation industry, permeable membranes are commonly used materials [208]. However, most of these membranes are oleophilic with non-negligible oil adhesion, which lead to severe oil contamination [96]. Preventing the oil from penetrating the membrane can further decrease the water/oil separation efficiency. As refer to oil transportation, oil can easily form hydrates and these hydrates adhere to the inner walls of pipelines generating a dramatic increase in drag force, leading to a greater energy requirement for transporting the oil.
Oil adhesion has attracted extensive studies over the past few decades due to its important role in many industrial applications such as lubrication, lithographic etching, and anti-contamination [63,204,209,210]. Ambient temperature behaviors on varied surfaces ranging from oleophilic to superoleophobic have been well investigated. However, there is insufficient understanding of oil adhesion behavior at low temperature, especially when the oil is frozen at sub-zero (Celsius) temperatures. Such low-temperature phenomena are very important in scenarios such as oil freezing in engines or in oil transport pipelines, where the freezing leads to a dramatic increase in adhesive force, which requires substantial amounts of energy to overcome, potentially causing instrument failure as well [211][212][213][214][215]. Pan et al. [216,217] extensively studied the relationship between oleophobicity and frozen oil adhesion reduction by fabricating flat surfaces and superoleophobic micropillars with different aspect ratio ( Figure 14). These superoleophobic micropillars were constructed by blending fluoropolymer into PDMS via mold transfer. This blending approach showed its advantages on maintaining durable and better oil repellency comparing with traditional vapor deposition method (Figure 14a,b). The shapes of frozen oil droplets (kept at −30 • C for a while) were recorded, and the frozen adhesion forces were measured via knocking-off the frozen oil droplets (Figure 14c-f). The work of adhesion calculated and plotted against the frozen oil adhesion strength indicated a notable reduction in adhesion strength from superoleophobic micropillars (Figure 14g). Figure 14. (a,b) The overall structure of trichloro(1H,1H,2H,2H-perfluorooctyl)silane (FDTS) blended and coated PDMS micropillars, respectively [216]; reproduced with permission from Elsevier. (c-e) The micropillars with aspect ratios of 1.5, 3.0 and 4.5 and the corresponding frozen oil droplets [217]. (f) The carton illustration of frozen oil knock-off test [217]. (g) The systematic relationship between frozen oil adhesion, surface structure, and surface composition [217]; reproduced with permission from the American Chemical Society.
The literature on the adhesion between frozen oil and micropatterned surfaces is limited; but many efforts have been devoted to exploring possible strategies to remove ice from surfaces, which can all be categorized into either passive strategies or active strategies [184,185,218]. The passive strategy is implemented either by controlling the surface wettability to reduce ice adhesion or by applying mechanical forces to remove the accumulated ice [184,185,218]. This is because superhydrophobic surfaces can be used to delay the ice formation and reduce the contact area, thereby reducing the shear forces between the ice and substrates. However, such tests are only conducted in laboratory research; the practical application of using superhydrophobic coatings alone is not an ideal method. Mechanical elimination is difficult to conduct on a large scale in actual cases. The active strategy employs external energy such as thermal, chemical, or pneumatic to eliminate the accumulated ice [183,219,220]. Among these methods, thermal melting uses sources such as warm air or electrical current and is regarded as one of the most effective ways to remove ice [183,219,220]. One decade-old traditional approach is warm air melting, in which intense warm air is blown onto objects through a special tube [184,185,218]. This raises the temperature of the system quickly, resulting in the melting of ice [183]. However, this requires a high consumption of energy at low temperatures and is more difficult to operate in an environment with strong winds at present. Currently, electrical joule heating is widely utilized due to its lower energy cost and easy operation [186,187,221]. Superhydrooleophobic materials show excellent water/oil repellence; so they can prevent the surface from being contaminated by oil, bacteria, or dust. Generally, superhydrooleophobic materials have been well studied and applied in the areas of self-cleaning, anti-corrosion, and antifouling. However, most superhydrooleophobic materials are not electrically conductive, which restricts their applications in the fields of conductive materials such as skin sensors, electrically controlled or signal collecting systems, radiofrequency antennas, and lab-on-a-chip systems [222][223][224][225][226][227][228], which play important roles in everyday life and industry activities.
Although the fabrication of electrically conductive polymer composites have achieved significant success during the past years, blending conductive fillers into a polymer monomer, electrospinning conductive polymer (polypyrrole) nanofibers, and embedding Ag nanowires into polymer surfaces [222][223][224][225][226][227][228]. Nevertheless, they were not water-or oil-repellent. As a consequence, it is important to develop superhydrooleophobic materials with electrical conductivity to solve the problem of frozen oil adhesion. Carbon nanofiber (CNF)-reinforced fluoroacrylic co-polymer nanocomposites were fabricated by Das et al. [67] The oleophobicity of the nanocomposites changed from oleophobic at a concentration of 10 wt % (CNFs) to superoleophobic at 60 wt %. The oil contact angle hysteresis (9°) was small at high CNF concentrations (higher than 40 wt %), while the nanocomposite surfaces showed strong adhesion to oils at low concentrations of CNFs (10 wt % and 20 wt %). The low oil contact angle hysteresis indicated that the surface had remarkable self-cleaning  Figure 14. (a,b) The overall structure of trichloro(1H,1H,2H,2H-perfluorooctyl)silane (FDTS) blended and coated PDMS micropillars, respectively [216]; reproduced with permission from Elsevier. (c-e) The micropillars with aspect ratios of 1.5, 3.0 and 4.5 and the corresponding frozen oil droplets [217]. (f) The carton illustration of frozen oil knock-off test [217]. (g) The systematic relationship between frozen oil adhesion, surface structure, and surface composition [217]; reproduced with permission from the American Chemical Society.
The literature on the adhesion between frozen oil and micropatterned surfaces is limited; but many efforts have been devoted to exploring possible strategies to remove ice from surfaces, which can all be categorized into either passive strategies or active strategies [184,185,218]. The passive strategy is implemented either by controlling the surface wettability to reduce ice adhesion or by applying mechanical forces to remove the accumulated ice [184,185,218]. This is because superhydrophobic surfaces can be used to delay the ice formation and reduce the contact area, thereby reducing the shear forces between the ice and substrates. However, such tests are only conducted in laboratory research; the practical application of using superhydrophobic coatings alone is not an ideal method. Mechanical elimination is difficult to conduct on a large scale in actual cases. The active strategy employs external energy such as thermal, chemical, or pneumatic to eliminate the accumulated ice [183,219,220]. Among these methods, thermal melting uses sources such as warm air or electrical current and is regarded as one of the most effective ways to remove ice [183,219,220]. One decade-old traditional approach is warm air melting, in which intense warm air is blown onto objects through a special tube [184,185,218]. This raises the temperature of the system quickly, resulting in the melting of ice [183]. However, this requires a high consumption of energy at low temperatures and is more difficult to operate in an environment with strong winds at present. Currently, electrical joule heating is widely utilized due to its lower energy cost and easy operation [186,187,221]. Superhydrooleophobic materials show excellent water/oil repellence; so they can prevent the surface from being contaminated by oil, bacteria, or dust. Generally, superhydrooleophobic materials have been well studied and applied in the areas of self-cleaning, anti-corrosion, and antifouling. However, most superhydrooleophobic materials are not electrically conductive, which restricts their applications in the fields of conductive materials such as skin sensors, electrically controlled or signal collecting systems, radiofrequency antennas, and lab-on-a-chip systems [222][223][224][225][226][227][228], which play important roles in everyday life and industry activities.
Although the fabrication of electrically conductive polymer composites have achieved significant success during the past years, blending conductive fillers into a polymer monomer, electrospinning conductive polymer (polypyrrole) nanofibers, and embedding Ag nanowires into polymer surfaces [222][223][224][225][226][227][228]. Nevertheless, they were not water-or oil-repellent. As a consequence, it is important to develop superhydrooleophobic materials with electrical conductivity to solve the problem of frozen oil adhesion. Carbon nanofiber (CNF)-reinforced fluoroacrylic co-polymer nanocomposites were fabricated by Das et al. [67] The oleophobicity of the nanocomposites changed from oleophobic at a concentration of 10 wt % (CNFs) to superoleophobic at 60 wt %. The oil contact angle hysteresis (9 • ) was small at high CNF concentrations (higher than 40 wt %), while the nanocomposite surfaces showed strong adhesion to oils at low concentrations of CNFs (10 wt % and 20 wt %). The low oil contact angle hysteresis indicated that the surface had remarkable self-cleaning properties. The conductivity of the nanocomposites reached as high as 1 × 10 3 S/m at a concentration of 60 wt %. Pan et al. [229] fabricated superoleophobic conductive micropillars to reduce frozen oil adhesion by blending Ag flakes into an epoxy resin and then utilized the mold transfer approach. FDTS was covalent bonded to the surface of micropillars during mold transfer to delivery superoleophobicity. The fabricated composite micropillars were 10 µm in diameter, 68 µm in height, and 25 µm in center-center spacing (Figure 15a). The study found that an increasing content of Ag flakes in epoxy micropillars had negligible effects on the oleophobicity, while the electrical conductive resistance decreased dramatically with the increase in Ag flakes in epoxy (Figure 15b). The electrical resistance dropped from about 800 ohm to several ohm. Significant Joule heating can be generated at relatively high electrical resistance, resulting in an increase in the surface temperature of the micropillars. Frozen oil adhesion decreased with increasing surface temperature (Figure 15c). Frozen oil adhesion reduction was carried out through the electrical-current induced Joule heating and hot wind melting. Frozen oil adhesion could still be measured at 0.05 N at a temperature of −5 • C by hot wind melting, while frozen oil adhesion was 0 when the surface was heated up to −10 • C by the electrical-current induced Joule heating. Surface temperature was dominated by resistance and the generated Joule heating. Larger resistance produced more heat and thereby a higher surface temperature. This difference may contribute to the different melting processes of the frozen oil droplets. When a DC current is applied, the frozen oil starts to melt from the bottom and transfers the solid-solid contact into a solid-liquid contact, reducing the adhesion force, while the hot wind melting started to melt from the top and the solid-solid contact did not change until the bottom of the frozen oil droplet was melted, causing greater adhesion force (Figure 15d).
Polymers 2017, 9(12), 725 18 of 33 properties. The conductivity of the nanocomposites reached as high as 1 × 10 3 S/m at a concentration of 60 wt %. Pan et al. [229] fabricated superoleophobic conductive micropillars to reduce frozen oil adhesion by blending Ag flakes into an epoxy resin and then utilized the mold transfer approach. FDTS was covalent bonded to the surface of micropillars during mold transfer to delivery superoleophobicity. The fabricated composite micropillars were 10 μm in diameter, 68 μm in height, and 25 μm in center-center spacing (Figure 15a). The study found that an increasing content of Ag flakes in epoxy micropillars had negligible effects on the oleophobicity, while the electrical conductive resistance decreased dramatically with the increase in Ag flakes in epoxy (Figure 15b). The electrical resistance dropped from about 800 ohm to several ohm. Significant Joule heating can be generated at relatively high electrical resistance, resulting in an increase in the surface temperature of the micropillars. Frozen oil adhesion decreased with increasing surface temperature (Figure 15c). Frozen oil adhesion reduction was carried out through the electrical-current induced Joule heating and hot wind melting. Frozen oil adhesion could still be measured at 0.05 N at a temperature of −5 °C by hot wind melting, while frozen oil adhesion was 0 when the surface was heated up to −10 °C by the electrical-current induced Joule heating. Surface temperature was dominated by resistance and the generated Joule heating. Larger resistance produced more heat and thereby a higher surface temperature. This difference may contribute to the different melting processes of the frozen oil droplets. When a DC current is applied, the frozen oil starts to melt from the bottom and transfers the solid-solid contact into a solid-liquid contact, reducing the adhesion force, while the hot wind melting started to melt from the top and the solid-solid contact did not change until the bottom of the frozen oil droplet was melted, causing greater adhesion force (Figure 15d).  [229]. Reproduced with permission from Elsevier.

Conclusions and Perspective
This review article summarized the recent development of bio-inspired superhydrophilic, superhydrophobic, and superoleophobic structures inspired by plant leaves (e.g., the lotus leaf and the rose petal) and creatures (e.g., butterfly wings, water strider legs, and shark skin) that have employed a variety of polymers and techniques. By reviewing the theory of wettability, a series of studies that investigate the effects of surface energy (low/high surface energy) and surface structures  [229]. Reproduced with permission from Elsevier.

Conclusions and Perspective
This review article summarized the recent development of bio-inspired superhydrophilic, superhydrophobic, and superoleophobic structures inspired by plant leaves (e.g., the lotus leaf and the rose petal) and creatures (e.g., butterfly wings, water strider legs, and shark skin) that have employed a variety of polymers and techniques. By reviewing the theory of wettability, a series of studies that investigate the effects of surface energy (low/high surface energy) and surface structures (nano-/micro-structure, hierarchical structure) on delivering desired wettability has been launched. The techniques used for developing surfaces with desired wettability are similar, but the requirements for surface energy to delivery superhydrophilicity, superhydrophobicity and superoleophobicity are different. Oil has a much lower surface tension and can easily wet superhydrophobic surfaces. Superhydrophilic surfaces require an extremely high surface energy and a proper structure, while superhydrophobic and superoleophobic surfaces require a low surface energy. Repelling oils for superoleophobic surfaces especially requires a critically low surface energy. Bio-inspired surfaces with special wettability are applied widely in oil/water separation, anti-wear, anti-fouling, self-cleaning, friction reduction, drug release, adhesion reduction, etc. With the rapid progress in technology, bio-inspired super-wettable surfaces with advanced properties are in high demand.
However, the current development on constructing bio-inspired super-wettable materials has disadvantages. Most polymeric bio-inspired materials lack sufficient mechanical properties and advanced multifunctional properties; contaminates on surfaces cause a loss of function and lifetime; the ease of damage and defects in current construction techniques as well as short lifetimes increase its production costs. In the near future, it is crucial to develop bio-inspired super-wettable materials with high mechanical properties and multifunctional performances with simple techniques to enhance their lifetime and durable wettability.