Hydrophobic and Anti-Fouling Performance of Surface on Parabolic Morphology

The hydrophobicity and anti-fouling properties of materials have important application value in industrial and agricultural production and people’s daily life. To study the relationship between the unit width L0 of the parabolic hydrophobic material and the hydrophobicity and anti-fouling properties, the rough surface structure of the parabolic with different widths was prepared by grinding with different SiC sandpapers, and further, to obtain hydrophobic materials through chemical oxidation and chemical etching, and modification with stearic acid (SA). The morphology, surface wetting and anti-fouling properties of the modified materials were characterized by SEM and contact angle measurement. The oil–water separation performance and self-cleaning performance of the materials were explored. The surface of the modified copper sheet forms a rough structure similar to a paraboloid. When ground with 1500 grit SiC sandpaper, it is more conducive to increase the hydrophobicity of the copper sheet surface and increase the contact angle of water droplets on the copper surface. Additionally, the self-cleaning and anti-fouling experiments showed that as L0 decreases, copper sheets were less able to stick to foreign things such as soil, and the better the self-cleaning and anti-fouling performance was. Based on the oil–water separation experiment of copper mesh, the lower L0 has a higher oil–water separation efficiency. The results showed that material with parabolic morphology has great self-cleaning, anti-fouling, and oil–water separation performance. The smaller the L0 was, the larger the contact angle and the better hydrophobic performance and self-cleaning performance were.

To obtain excellent hydrophobic and anti-fouling materials, scholars constantly explore the prediction theory of the superhydrophobic model and the preparation technology. Nishino et al. [18] found that after a low surface energy modification on a smooth solid surface, the maximum contact angle (CA) did not exceed 120 • . Therefore, the construction of the surface microtopography has a great influence on the hydrophobic surfaces. In terms of model theory prediction, by analyzing the experiments, which showed that the parabolic morphology has great hydrophobic and anti-fouling properties. It was shown that the parabolic morphology materials had certain application value in environmental protection. Copper meshes (200 meshes) were purchased from Shenyang Copper Network Co., Ltd. (Shenyang, China). Copper sheets were purchased from Tianjin Shengao Chemical Reagent Co., Ltd. (Tianjin, China). Acetone (purity > 99%), benzene (purity > 99%), ethanol (purity = 99.5%), stearic acid (SA), FeCl 3 (35 wt %) (purity > 98%), H 2 O 2 (30 wt %), and kaolin (purity > 99%) were purchased from Tianjin Kemiou Chemical Reagent Co., Ltd. (Tianjin, China). SiC sandpapers (320, 400, 600, 800, 1000, 1200, and 1500 grit) were purchased from Shanghai Ruihan Vision Co., Ltd. (Shanghai, China). The experimental water was deionized water. All other chemicals were analytical-grade reagents.

Preparation of Materials
Copper meshes (200 meshes) (4 cm × 4 cm) and copper sheets (2 cm × 4 cm) were placed in a beaker and ultrasonically cleaned in acetone, ethanol and deionized water for 10 min to remove oil and inorganic impurities on the surface. To achieve different unit width of copper meshes and copper sheets surface by mechanical abrasion, 320, 400, 600, 800, 1000, 1200, and 1500 grit SiC sandpaper were used to grind 20 times horizontally so that the scratches were aligned parallel to each other. The copper meshes and copper sheet samples were washed successively with absolute ethanol and deionized water and air-dried at room temperature. The cleaned copper meshes were placed in a well-prepared 35% FeCl 3 solution and ultrasonically etched for 20 min with an ultrasonic cleaner; the etched copper meshes were placed in 30% H 2 O 2 and oxidized by an ultrasonic cleaner for 3 min. The copper meshes were immersed in a 10 mol/L ethanolic solution of SA (1:3 refers to the volume ratio of ethanol to water) at 60 • C for 24 h. The cleaned copper sheets were immersed in a 10 mol/L ethanolic solution of SA (1:3 refers to the volume ratio of ethanol to water) at 60 • C for 30 min. The modified copper meshes and copper sheets samples were washed successively with absolute ethanol and deionized water and air-dried at room temperature.

Contact Angle Measurements
The water contact angles at ambient temperatures using an SL200KS contact angle meter. The test steps are as follows: Firstly, click the moving image button in the upper right corner of the interface. Then, place the sample to be tested on the stage, 3 µL liquid is extracted from the microsyringe and fixed above the sample, then turn the knob on behind the base of the camera, adjust the distance from the camera to the stage to make the image clearest. Subsequently, the volume of the test water droplets approximately 3 µL squeezed out from the microsyringe, in this time, a clear small droplet dropping from the syringe. Finally, keep the droplet on the sample, click the freeze image button in the upper right corner of the interface to save the picture, press the angle of the measurement button, and calculate the contact angle. At least three parallel positions on the surface were measured to obtain average contact angle values.

Oil-Water Separation Test
An oil-water mixture of benzene-water was used for the separation experiments. For convenience, deionized water was stained with methylene blue. Oils were stained with Sudan I. Oils and deionized water was mixed at a volume ratio of 1:1, respectively. The oil-water separation performance of the copper meshes was determined by the gravity-driven oil-water separation test.

Anti-Fouling and Self-Cleaning Experiments
A red suspension of kaolin-Rhodamine B was formed by a mixture between 15 g kaolin and rhodamine B solution for 30 min. Each sample was weighed by high precision balance and recorded as initial value M 0 . The copper sheets were immersed in the red suspension of the uniformly mixed kaolin-Rhodamine B. After soaking for 3 s, the copper sheets were placed obliquely to ensure that the angle with the horizontal plane was 45 • . Finally, the copper samples were successively dried in air at room temperature and samples with soil were weighed again as Mx. The difference ∆M was the mass of the contaminant to which the sample surface adhered.

Material Surface of Different Unit Width of the Parabolic
To better observe the microscopic morphology of the surface of the copper sheets, it was necessary to carry out gold pretreatment on the surface of the sample before the test to enhance the conductivity of the sample and then fix the sample on the sample stage to observe the test. The operation needs to be done in a vacuum environment. The microscopic morphologies of the surface of the copper sheets after grinding were observed by SEM. Figure 1a-c showed that the copper sheets were ground with 320, 800, and 1500 grit SiC sandpapers, respectively. It can be seen via a microscope that the surface of copper sheets becomes rough. As can be seen from Figure 1, with the grit of the sandpaper increased, the unit width of the parabolic had a significant change. Figure 1a-c showed the different L 0 were 3.3 µm, 2.4 µm, and 1.6 µm, respectively.

Anti-Fouling and Self-Cleaning Experiments
A red suspension of kaolin-Rhodamine B was formed by a mixture between 15 g kaolin and rhodamine B solution for 30 min. Each sample was weighed by high precision balance and recorded as initial value M0. The copper sheets were immersed in the red suspension of the uniformly mixed kaolin-Rhodamine B. After soaking for 3 s, the copper sheets were placed obliquely to ensure that the angle with the horizontal plane was 45°. Finally, the copper samples were successively dried in air at room temperature and samples with soil were weighed again as Mx. The difference ΔM was the mass of the contaminant to which the sample surface adhered.

Material Surface of Different Unit Width of the Parabolic
To better observe the microscopic morphology of the surface of the copper sheets, it was necessary to carry out gold pretreatment on the surface of the sample before the test to enhance the conductivity of the sample and then fix the sample on the sample stage to observe the test. The operation needs to be done in a vacuum environment. The microscopic morphologies of the surface of the copper sheets after grinding were observed by SEM. Figure 1a-c showed that the copper sheets were ground with 320, 800, and 1500 grit SiC sandpapers, respectively. It can be seen via a microscope that the surface of copper sheets becomes rough. As can be seen from Figure 1, with the grit of the sandpaper increased, the unit width of the parabolic had a significant change. Figure 1a-c showed the different L0 were 3.3 μm, 2.4 μm, and 1.6 μm, respectively.

Hydrophobic Performance
The contact angle refers to the wetting property of water droplets on a solid surface. For hydrophilic surfaces, the droplets wet the surface easily and spread out. The contact angle of the water droplets is less than 90°. However, for hydrophobic surfaces, the droplets were not easily spread and appeared spherical on the surface, the contact angle of the water droplets is greater than 90° [43]. It is generally believed that as the contact angle increases, the hydrophobic property improves. Therefore, the contact angle is an important index to reveal hydrophobic and superhydrophobic properties [44][45][46][47].
The wetting behaviors of water on the as-prepared copper sheets were evaluated by the contact angle measurement. The water contact angles of the copper sheets with the different unit width were shown in Figure 2. respectively, which indicated that as the L0 of the copper sheets decreased, the CAs increased. The

Hydrophobic Performance
The contact angle refers to the wetting property of water droplets on a solid surface. For hydrophilic surfaces, the droplets wet the surface easily and spread out. The contact angle of the water droplets is less than 90 • . However, for hydrophobic surfaces, the droplets were not easily spread and appeared spherical on the surface, the contact angle of the water droplets is greater than 90 • [43]. It is generally believed that as the contact angle increases, the hydrophobic property improves. Therefore, the contact angle is an important index to reveal hydrophobic and super-hydrophobic properties [44][45][46][47].
The wetting behaviors of water on the as-prepared copper sheets were evaluated by the contact angle measurement. The water contact angles of the copper sheets with the different unit width were shown in Figure 2. Figures 2a-c and 2d-f were the CAs of copper sheets with unit width L 0 3.3 µm, 2.4 µm, and 1.6 µm, respectively. It can be seen from Figure 2a-c, the unmodified with SA copper sheets were hydrophilic and the CAs of the copper sheets surface were 68.7 • , 72.5 • , and 82.4 • , respectively, which indicated that as the L 0 of the copper sheets decreased, the CAs increased. The results of Figure 2 agree with the results from Shi et al. [22], who used different PMMA samples with convex width analytical methods. results of Figure 2 agree with the results from Shi et al. [22], who used different PMMA samples with convex width analytical methods. In Figure 2d-f, the CAs of the as-prepared copper sheets that were modified with SA were measured to be 94.5°, 100.2°, and 110.5°, respectively, which showed that the copper sheets became a hydrophobic surface after modification with SA [48] and it was consistent with the research of Gui-Hua et al. [49]. It can be seen that as the L0 of copper sheets modified with SA decreased, the CAs increased.
To better illustrate the contact properties of water droplets on the copper sheets, all the contact angles were listed in Table 1.  Table 1, the CA of the copper sheet modified with SA was always bigger than that of unmodified with SA. That was due to the low surface energy being a key factor in achieving superhydrophobicity [43]. The surface free energy can affect the value of the contact angle; the smaller the surface free energy is, the larger the contact angle is.

Oil-Water Separation Performance
Copper meshes can be obtained by grinding 320, 800, and 1500 grit SiC sandpaper, etching with 35% FeCl3, oxidation with 30% H2O2 solution, and modification with SA. Previous studies have shown that using SA as a modifier can form a super-hydrophobic membrane surface on the surface of the materials [50][51][52].
To understand the separation efficiency of the different unit width of the parabolic L0 of copper meshes surface for oil-water mixtures more intuitively, the oil-water separation experiment was carried out. The process is as follows: To completely cover the beaker mouth, the as-prepared copper meshes that were trimmed into dimensions of 4 cm × 4 cm were fixed over the beaker, and then the small beaker was placed in the center of the large petri dish. The volume of deionized water and benzene used for the experiments were both 6 mL. After shaking the mixture of oil and water in the In Figure 2d-f, the CAs of the as-prepared copper sheets that were modified with SA were measured to be 94.5 • , 100.2 • , and 110.5 • , respectively, which showed that the copper sheets became a hydrophobic surface after modification with SA [48] and it was consistent with the research of Gui-Hua et al. [49]. It can be seen that as the L 0 of copper sheets modified with SA decreased, the CAs increased.
To better illustrate the contact properties of water droplets on the copper sheets, all the contact angles were listed in Table 1.  Table 1, the CA of the copper sheet modified with SA was always bigger than that of unmodified with SA. That was due to the low surface energy being a key factor in achieving superhydrophobicity [43]. The surface free energy can affect the value of the contact angle; the smaller the surface free energy is, the larger the contact angle is.

Oil-Water Separation Performance
Copper meshes can be obtained by grinding 320, 800, and 1500 grit SiC sandpaper, etching with 35% FeCl 3 , oxidation with 30% H 2 O 2 solution, and modification with SA. Previous studies have shown that using SA as a modifier can form a super-hydrophobic membrane surface on the surface of the materials [50][51][52].
To understand the separation efficiency of the different unit width of the parabolic L 0 of copper meshes surface for oil-water mixtures more intuitively, the oil-water separation experiment was carried out. The process is as follows: To completely cover the beaker mouth, the as-prepared copper meshes that were trimmed into dimensions of 4 cm × 4 cm were fixed over the beaker, and then the small beaker was placed in the center of the large petri dish. The volume of deionized water and benzene used for the experiments were both 6 mL. After shaking the mixture of oil and water in the syringe, then gradually squeezed the syringe and slowly dripped the mixture from the needle to the membranes.
A device diagram of the oil-water separation test is shown in Figure 3a. The as-prepared copper meshes completely covered the beaker mouth to prevent deionized water from entering the beaker from other places. The separation experimental processes of benzene-water are shown in Figure 3b. The density of benzene was less than water and water passed first through the syringe and then flowed into the membranes. With the accumulation of deionized water on the copper mesh surface, it can be found that water droplets gradually flowed out from the edge of the copper mesh and did not penetrate the copper mesh into the small beaker. However, benzene passed through the deionized water, reached the surface of the membranes, and flowed into the beaker quickly, as shown in Figure 3c. The process of oil-water separation in the whole process was approximately 3 min. Figure 3d showed that after completion of the experiment, there was almost no blue residue on the membranes by pouring the water above the membranes into a large petri dish. syringe, then gradually squeezed the syringe and slowly dripped the mixture from the needle to the membranes. A device diagram of the oil-water separation test is shown in Figure 3a. The as-prepared copper meshes completely covered the beaker mouth to prevent deionized water from entering the beaker from other places. The separation experimental processes of benzene-water are shown in Figure 3b. The density of benzene was less than water and water passed first through the syringe and then flowed into the membranes. With the accumulation of deionized water on the copper mesh surface, it can be found that water droplets gradually flowed out from the edge of the copper mesh and did not penetrate the copper mesh into the small beaker. However, benzene passed through the deionized water, reached the surface of the membranes, and flowed into the beaker quickly, as shown in Figure 3c. The process of oil-water separation in the whole process was approximately 3 min. Figure 3d showed that after completion of the experiment, there was almost no blue residue on the membranes by pouring the water above the membranes into a large petri dish. According to the above methods, the mixtures of benzene and deionized water were separated by the oil-water separation experiment. When the separation process was completed, the oils in the beaker were poured into a measuring cylinder and the volumes of oils were measured after separation. It was found that the volumes of benzene after separation were approximately 5.1 mL, 5.3 mL, and 5.6 mL, respectively. After separation of oil and water, according to the amount of oil passing through the membranes and the separation efficiency, η (%), was calculated by Equation (1).
where V0 is the benzene mass of the original and Vt is the benzene mass after separation. The results obtained are shown in Figure 4. According to the above methods, the mixtures of benzene and deionized water were separated by the oil-water separation experiment. When the separation process was completed, the oils in the beaker were poured into a measuring cylinder and the volumes of oils were measured after separation. It was found that the volumes of benzene after separation were approximately 5.1 mL, 5.3 mL, and 5.6 mL, respectively. After separation of oil and water, according to the amount of oil passing through the membranes and the separation efficiency, η (%), was calculated by Equation (1).
where V 0 is the benzene mass of the original and V t is the benzene mass after separation. The results obtained are shown in Figure 4. The oil-water separation efficiency of the three different L0 copper mesh surfaces were measured. From Figure 4, the separation efficiency of benzene was 85%, 89%, and 94%. It can be seen that due to the different etching methods of copper meshes, the separation efficiency was different [53,54]. It was shown that with a decrease in L0, the separation efficiency became higher.

Anti-Fouling and Self-Cleaning Performance
To understand the self-cleaning properties of the untreated and as-prepared copper sheets more intuitively. The copper sheets were immersed in the red suspension of the uniformly mixed kaolin-Rhodamine B. The kaolin adhesion to the surface of copper sheets were observed by SEM. Figures 5  and 6 showed the self-cleaning performance of soil on copper sheets with or without modification with SA. Figure 5a-c and Figure 5d-f were the copper sheets that were ground with 320, 800, and 1500 grit SiC sandpapers, respectively. As the L0 of the copper sheet surfaces decreased, the amount of kaolin gradually decreased, which indicates that copper sheets had better self-cleaning properties.  The oil-water separation efficiency of the three different L 0 copper mesh surfaces were measured. From Figure 4, the separation efficiency of benzene was 85%, 89%, and 94%. It can be seen that due to the different etching methods of copper meshes, the separation efficiency was different [53,54]. It was shown that with a decrease in L 0 , the separation efficiency became higher.

Anti-Fouling and Self-Cleaning Performance
To understand the self-cleaning properties of the untreated and as-prepared copper sheets more intuitively. The copper sheets were immersed in the red suspension of the uniformly mixed kaolin-Rhodamine B. The kaolin adhesion to the surface of copper sheets were observed by SEM. Figures 5 and 6 showed the self-cleaning performance of soil on copper sheets with or without modification with SA. Figures 5a-c and 5d-f were the copper sheets that were ground with 320, 800, and 1500 grit SiC sandpapers, respectively. As the L 0 of the copper sheet surfaces decreased, the amount of kaolin gradually decreased, which indicates that copper sheets had better self-cleaning properties.  The oil-water separation efficiency of the three different L0 copper mesh surfaces were measured. From Figure 4, the separation efficiency of benzene was 85%, 89%, and 94%. It can be seen that due to the different etching methods of copper meshes, the separation efficiency was different [53,54]. It was shown that with a decrease in L0, the separation efficiency became higher.

Anti-Fouling and Self-Cleaning Performance
To understand the self-cleaning properties of the untreated and as-prepared copper sheets more intuitively. The copper sheets were immersed in the red suspension of the uniformly mixed kaolin-Rhodamine B. The kaolin adhesion to the surface of copper sheets were observed by SEM. Figures 5  and 6 showed the self-cleaning performance of soil on copper sheets with or without modification with SA. Figure 5a-c and Figure 5d-f were the copper sheets that were ground with 320, 800, and 1500 grit SiC sandpapers, respectively. As the L0 of the copper sheet surfaces decreased, the amount of kaolin gradually decreased, which indicates that copper sheets had better self-cleaning properties.  Compared to Figure 6a,b, it can be seen that there was a significant change in the copper sheet surface. It was obvious that the contaminant on the modified copper sheets was significantly reduced, indicating that the copper sheets modified with SA had the stronger self-cleaning ability.
To express quantitatively the anti-fouling properties of copper sheets surface of the different L0.
The copper sheets ground with different grit sandpapers were immersed in the red suspension of the uniformly mixed kaolin-Rhodamine B.
The amount of kaolin adhered to the surface of unmodified and modified with SA copper sheets with different L0 was shown in Figure 7. It can be seen that as the sandpaper grit of ground copper sheets increased, the unit width L0 of the parabolic gradually decreased, and the amount of adsorbed kaolin on the copper sheets tended to decrease. In Figure 7, the adhered kaolin of the copper sheets modified with SA decreased. It was possible that as the surface energy of the copper sheets modified with SA decreased, the contact angle increased, the adhesion ability of the kaolin was lowered, and the stronger self-cleaning performance was. In Figure 7, it can be seen that as the L0 on the copper sheets surface gradually decreased, the adhesion of kaolin to the copper sheets decreased. It can be seen that with a decrease of L0, the contact angle became higher and so was the self-cleaning. However, the surface adsorption capacity of the modified copper sheet was significantly less than that of the unmodified. Compared to Figure 6a,b, it can be seen that there was a significant change in the copper sheet surface. It was obvious that the contaminant on the modified copper sheets was significantly reduced, indicating that the copper sheets modified with SA had the stronger self-cleaning ability.
To express quantitatively the anti-fouling properties of copper sheets surface of the different L 0 . The copper sheets ground with different grit sandpapers were immersed in the red suspension of the uniformly mixed kaolin-Rhodamine B.
The amount of kaolin adhered to the surface of unmodified and modified with SA copper sheets with different L 0 was shown in Figure 7. It can be seen that as the sandpaper grit of ground copper sheets increased, the unit width L 0 of the parabolic gradually decreased, and the amount of adsorbed kaolin on the copper sheets tended to decrease. In Figure 7, the adhered kaolin of the copper sheets modified with SA decreased. It was possible that as the surface energy of the copper sheets modified with SA decreased, the contact angle increased, the adhesion ability of the kaolin was lowered, and the stronger self-cleaning performance was. Compared to Figure 6a,b, it can be seen that there was a significant change in the copper sheet surface. It was obvious that the contaminant on the modified copper sheets was significantly reduced, indicating that the copper sheets modified with SA had the stronger self-cleaning ability.
To express quantitatively the anti-fouling properties of copper sheets surface of the different L0.
The copper sheets ground with different grit sandpapers were immersed in the red suspension of the uniformly mixed kaolin-Rhodamine B.
The amount of kaolin adhered to the surface of unmodified and modified with SA copper sheets with different L0 was shown in Figure 7. It can be seen that as the sandpaper grit of ground copper sheets increased, the unit width L0 of the parabolic gradually decreased, and the amount of adsorbed kaolin on the copper sheets tended to decrease. In Figure 7, the adhered kaolin of the copper sheets modified with SA decreased. It was possible that as the surface energy of the copper sheets modified with SA decreased, the contact angle increased, the adhesion ability of the kaolin was lowered, and the stronger self-cleaning performance was. In Figure 7, it can be seen that as the L0 on the copper sheets surface gradually decreased, the adhesion of kaolin to the copper sheets decreased. It can be seen that with a decrease of L0, the contact angle became higher and so was the self-cleaning. However, the surface adsorption capacity of the modified copper sheet was significantly less than that of the unmodified. In Figure 7, it can be seen that as the L 0 on the copper sheets surface gradually decreased, the adhesion of kaolin to the copper sheets decreased. It can be seen that with a decrease of L 0 , the contact angle became higher and so was the self-cleaning. However, the surface adsorption capacity of the modified copper sheet was significantly less than that of the unmodified.
The unit width L 0 of the parabolic on the copper sheet decreased gradually, the contact angle increased gradually, the amount of adsorption of the kaolin reduced gradually. The self-cleaning performance was gradually enhanced. In summary, there was a negative correlation between the reduction of L 0 and self-cleaning performance.

Conclusions
In summary, by controlling grinding, chemical etching, oxidation, and modifying conditions, the parabolic structure can be obtained on the surface of the copper sheets and copper mesh. Copper mesh and copper sheets were used in oil-water separation, anti-fouling, and self-cleaning experiments, which showed that the parabolic morphology has great hydrophobic and anti-fouling properties.
Experimental results showed that the smaller the L 0 , the larger the contact angle, the better the hydrophobic performance, the higher the oil-water separation efficiency, and the better the self-cleaning performance. The unit width of the parabolic L 0 was reduced and the hydrophobicity and the anti-fouling property were more easily realized.
The change of L 0 can reflect the change in contact angle. It can be used as a significant indicator of hydrophobicity, self-cleaning, and oil-water separation efficiency in predicting the hydrophobicity and antifouling of materials.