A comprehensive review on recent advances in superhydrophobic surfaces and their applications for drag reduction

Abstract Nowadays, superhydrophobic surfaces have attracted a lot of interest because of the wide range of applications in industries. These surfaces can significantly reduce the drag force due to the formation of air gaps between the substrate and liquid interface. The present review mainly focuses on the very recent progresses in the drag reduction studies using superhydrophobic surfaces. Also, a brief discussion about the mathematical modeling and the theories of superhydrophobic surfaces, natural water repellent surfaces, various fabrication techniques with advantages and disadvantages of each method and different properties of the fabricated surfaces in industrial applications is presented. Finally, the limitations of using such surfaces in industrial applications, which deals with harsh and destructive environment conditions, are addressed and further research topics and future outlooks to improve the durability of the superhydrophobic surfaces are discussed.

[1]  N. Gunda,et al.  Under-water superoleophobicity of fish scales , 2014, Scientific Reports.

[2]  Weiqiang Lin,et al.  Aqueous epoxy-based superhydrophobic coatings: Fabrication and stability in water , 2018, Progress in Organic Coatings.

[3]  Abdellatif Ouahsine,et al.  Maintenance of air layer and drag reduction on superhydrophobic surface , 2017 .

[4]  Drag Moderation by the Melting of an Ice Surface in Contact with Water. , 2015, Physical review letters.

[5]  U. Erb,et al.  A low-cost method to produce superhydrophobic polymer surfaces , 2012, Journal of Materials Science.

[6]  Wilhelm Barthlott,et al.  Characterization and Distribution of Water-repellent, Self-cleaning Plant Surfaces , 1997 .

[7]  K. Tu,et al.  Facile preparation of mechanically durable, self-healing and multifunctional superhydrophobic surfaces on solid wood , 2018 .

[8]  Thomas Young,et al.  An Essay on the Cohesion of Fluids , 1800 .

[9]  B. Bhushan,et al.  Facile approach to develop anti-corrosive superhydrophobic aluminium with high mechanical, chemical and thermal durability , 2019, Philosophical Transactions of the Royal Society A.

[10]  R. Jafari,et al.  Application of superhydrophobic coatings as a corrosion barrier : a review , 2017 .

[11]  C. Wan,et al.  Fabrication of a superhydrophobic surface from porous polymer using phase separation , 2014 .

[12]  B. Khoo,et al.  Heat transfer enhancement and drag reduction in transverse groove-bounded microchannels with offset , 2018, International Journal of Thermal Sciences.

[13]  Xiaohao Wang,et al.  Spray-coated superhydrophobic surfaces with wear-resistance, drag-reduction and anti-corrosion properties , 2017 .

[14]  H. Tafreshi,et al.  Role of particles spatial distribution in drag reduction performance of superhydrophobic granular coatings , 2018 .

[16]  Jonathan Moghal,et al.  Development of single layer nanoparticle anti-reflection coating for polymer substrates , 2013 .

[17]  J. Callow,et al.  Trends in the development of environmentally friendly fouling-resistant marine coatings. , 2011, Nature communications.

[18]  W. Barthlott,et al.  Superhydrophobic and superhydrophilic plant surfaces: an inspiration for biomimetic materials , 2009, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[19]  Chang‐Hwan Choi,et al.  Superhydrophobic drag reduction in laminar flows: a critical review , 2016 .

[20]  Q. Xue,et al.  Study of adhesion and friction drag on a rough hydrophobic surface: Sandblasted aluminum , 2018, Physics of Fluids.

[21]  Qiang Wei,et al.  Mussel‐Inspired Polymer‐Based Universal Spray Coating for Surface Modification: Fast Fabrication of Antibacterial and Superhydrophobic Surface Coatings , 2018 .

[22]  Jonathan P. Rothstein,et al.  Drag reduction in turbulent flows over superhydrophobic surfaces , 2009 .

[23]  Zhiguang Guo,et al.  Modifier-free fabrication of durable and multifunctional superhydrophobic paper with thermostability and anti-microbial property , 2018, Chemical Engineering Journal.

[24]  R. N. Wenzel RESISTANCE OF SOLID SURFACES TO WETTING BY WATER , 1936 .

[25]  S. G. Deshmukh,et al.  ODS – modified TiO2 nanoparticles for the preparation of self-cleaning superhydrophobic coating , 2018 .

[26]  I. Parkin,et al.  The Anti-Biofouling Properties of Superhydrophobic Surfaces are Short-Lived. , 2018, ACS nano.

[27]  D. Xiong,et al.  Scalable superhydrophobic coating with controllable wettability and investigations of its drag reduction , 2018, Colloids and Surfaces A: Physicochemical and Engineering Aspects.

[28]  Myeong-Lok Seol,et al.  A Triboelectric Sponge Fabricated from a Cube Sugar Template by 3D Soft Lithography for Superhydrophobicity and Elasticity , 2016 .

[29]  S. Mohanty,et al.  A Review on Superhydrophobic Polymer Nanocoatings: Recent Development and Applications , 2018 .

[30]  Sam S. Yoon,et al.  Electrospun polystyrene nanofiber membrane with superhydrophobicity and superoleophilicity for selective separation of water and low viscous oil. , 2013, ACS applied materials & interfaces.

[31]  M. Hashim,et al.  Optimization of the Synthesis of Superhydrophobic Carbon Nanomaterials by Chemical Vapor Deposition , 2018, Scientific Reports.

[32]  Mohamed Gad-el-Hak,et al.  Superhydrophobic surfaces: From the lotus leaf to the submarine , 2012 .

[33]  E. Ivanova,et al.  Dual role of outer epicuticular lipids in determining the wettability of dragonfly wings. , 2013, Colloids and surfaces. B, Biointerfaces.

[34]  Feng Shi,et al.  Extraordinary drag-reducing effect of a superhydrophobic coating on a macroscopic model ship at high speed , 2013 .

[35]  H. Tafreshi,et al.  Effects of hydrostatic pressure on wetted area of submerged superhydrophobic granular coatings. Part 1: mono-dispersed coatings , 2015 .

[36]  Sam S. Yoon,et al.  Gravity-driven hybrid membrane for oleophobic-superhydrophilic oil-water separation and water purification by graphene. , 2014, Langmuir : the ACS journal of surfaces and colloids.

[37]  Zhiliang Zhang,et al.  CuO/Cu based superhydrophobic and self-cleaning surfaces , 2016 .

[38]  M. Akhtari,et al.  Numerical study of fluid flow and heat transfer phenomenon within microchannels comprising different superhydrophobic structures , 2018 .

[39]  M. A. Bijarchi,et al.  Ferrofluid droplet manipulation using an adjustable alternating magnetic field , 2020 .

[40]  Dehua Zhu,et al.  Anti-biofouling superhydrophobic surface fabricated by picosecond laser texturing of stainless steel , 2018 .

[41]  F. Battista,et al.  Drag reduction induced by superhydrophobic surfaces in turbulent pipe flow , 2018, 1809.08905.

[42]  Jae Won Lee,et al.  Reduction of liquid pumping power by nanoscale surface coating , 2016 .

[43]  Bharat Bhushan,et al.  Bioinspired, roughness-induced, water and oil super-philic and super-phobic coatings prepared by adaptable layer-by-layer technique , 2015, Scientific Reports.

[44]  R. Akhavan,et al.  On drag reduction scaling and sustainability bounds of superhydrophobic surfaces in high Reynolds number turbulent flows , 2019, Journal of Fluid Mechanics.

[45]  T. Darmanin,et al.  Superhydrophobic Fibrous Polymers , 2013 .

[46]  R. Durairaj,et al.  Superhydrophobic surfaces: a review on fundamentals, applications, and challenges , 2018, Journal of Coatings Technology and Research.

[47]  Zhilin Wu,et al.  Study of anti-corrosion and anti-wear properties on superhydrophobic aluminium alloy surfaces , 2018, Materials Science and Technology.

[48]  Doris Vollmer,et al.  Transparent, Thermally Stable and Mechanically Robust Superhydrophobic Surfaces Made from Porous Silica Capsules , 2011, Advanced materials.

[49]  Anne-Marie Kietzig,et al.  Drag on superhydrophobic sharkskin inspired surface in a closed channel turbulent flow , 2017 .

[50]  S. Bhaumik,et al.  Creeping flow dynamics over superhydrophobic ball: Slip effects and drag reduction , 2017 .

[51]  R. Moradian,et al.  One-step chemical vapor deposition and modification of silica nanoparticles at the lowest possible temperature and superhydrophobic surface fabrication , 2014 .

[52]  Y. Mai,et al.  Super-hydrophobic coatings based on non-solvent induced phase separation during electro-spraying. , 2017, Journal of colloid and interface science.

[53]  Zhiguang Guo,et al.  Creation of a multifunctional superhydrophobic coating for composite insulators , 2018, Chemical Engineering Journal.

[54]  Yang Wang,et al.  Superhydrophobic Drag-Reduction Spherical Bearing Fabricated by Laser Ablation and PEI Regulated ZnO Nanowire Growth , 2017, Scientific Reports.

[55]  Naoe Hosoda,et al.  Waterproof and translucent wings at the same time: problems and solutions in butterflies , 2009, Naturwissenschaften.

[56]  Toru Iwasaki,et al.  Frictional drag reduction with air lubricant over a super-water-repellent surface , 2000 .

[57]  Mingxian Liu,et al.  Fabrication of high performance superhydrophobic coatings by spray-coating of polysiloxane modified halloysite nanotubes , 2018 .

[58]  Xiaowei Liu,et al.  Fabrication and drag reduction of superhydrophobic surface on steel substrates , 2018 .

[59]  Peng Zhang,et al.  A review of the recent advances in superhydrophobic surfaces and the emerging energy-related applications , 2015 .

[60]  Xuefeng Gao,et al.  Biophysics: Water-repellent legs of water striders , 2004, Nature.

[61]  Feng Zhang,et al.  Porous superhydrophobic and superoleophilic surfaces prepared by template assisted chemical vapor deposition , 2017 .

[62]  G. Wells,et al.  Drag reduction properties of superhydrophobic mesh pipes , 2017 .

[63]  Chang-Hwan Choi,et al.  Large slip of aqueous liquid flow over a nanoengineered superhydrophobic surface. , 2006, Physical review letters.

[64]  Hoon Cheol Park,et al.  Drag Reduction on Micro-Structured Super-hydrophobic Surface , 2006, 2006 IEEE International Conference on Robotics and Biomimetics.

[65]  Qiuyu Zhang,et al.  Robust Organic–Inorganic Composite Films with Multifunctional Properties of Superhydrophobicity, Self-Healing, and Drag Reduction , 2019, Industrial & Engineering Chemistry Research.

[66]  K. Sadasivuni,et al.  Self – cleaning superhydrophobic coatings: Potential industrial applications , 2019, Progress in Organic Coatings.

[67]  Chang-Jin Kim,et al.  Underwater restoration and retention of gases on superhydrophobic surfaces for drag reduction. , 2011, Physical review letters.

[68]  Xiaowei Liu,et al.  One-step hydrothermal method to fabricate drag reduction superhydrophobic surface on aluminum foil , 2018, Applied Surface Science.

[69]  K. Sadasivuni,et al.  Superhydrophobic surfaces for oil-water separation , 2019, Superhydrophobic Polymer Coatings.

[70]  Peng Jiang,et al.  Superhydrophobic hierarchical arrays fabricated by a scalable colloidal lithography approach. , 2017, Journal of colloid and interface science.

[71]  Grant O. Musgrove,et al.  Designing Superhydrophobic Coatings for Aircraft Drag Avoidance , 2017 .

[72]  Ze Wang,et al.  Long-term durability of superhydrophobic properties of butterfly wing scales after continuous contact with water , 2017 .

[73]  Marco Natali,et al.  Superhydrophobic surfaces fabricated by nanoimprint lithography , 2006 .

[74]  Xiaowei Liu,et al.  Fabrication and drag reduction of the superoleophobic surface on a rotational gyroscope , 2018 .

[75]  Wouter van der Wijngaart,et al.  Sustained superhydrophobic friction reduction at high liquid pressures and large flows. , 2011, Langmuir : the ACS journal of surfaces and colloids.

[76]  Bharat Bhushan,et al.  Fabrication of artificial Lotus leaves and significance of hierarchical structure for superhydrophobicity and low adhesion , 2009 .

[77]  Lincai Peng,et al.  Facile fabrication of superhydrophobic paper with improved physical strength by a novel layer-by-layer assembly of polyelectrolytes and lignosulfonates-amine , 2016, Cellulose.

[78]  Zhanping You,et al.  The anti-icing and mechanical properties of a superhydrophobic coating on asphalt pavement , 2018, Construction and Building Materials.

[79]  Mei Li,et al.  Toward understanding whether superhydrophobic surfaces can really decrease fluidic friction drag. , 2010, Langmuir : the ACS journal of surfaces and colloids.

[80]  Suk Goo Yoon,et al.  Self-cleaning transparent superhydrophobic coatings through simple sol–gel processing of fluoroalkylsilane , 2015 .

[81]  S. S. Latthe,et al.  In-situ synthesis of hydrophobic SiO2-PMMA composite for surface protective coatings: Experimental and quantum chemical analysis , 2015 .

[82]  E. Gogolides,et al.  Hydrophobic and superhydrophobic surfaces fabricated using atmospheric pressure cold plasma technology: A review. , 2018, Advances in colloid and interface science.

[83]  Linfeng Piao,et al.  Two-Dimensional Analysis of Air-Water Interface on Superhydrophobic Grooves under Fluctuating Water Pressure. , 2015, Langmuir : the ACS journal of surfaces and colloids.

[84]  S. S. Latthe,et al.  Sol-gel-processed porous water-repellent silica microbowls , 2013 .

[85]  D. Chan,et al.  Drag reduction by Leidenfrost vapor layers. , 2011, Physical review letters.

[86]  Yu Li,et al.  A robust and versatile superhydrophobic coating: Wear-resistance study upon sandpaper abrasion , 2019, Applied Surface Science.

[87]  M. A. Kulandainathan,et al.  Hierarchically ordered self-lubricating superhydrophobic anodized aluminum surfaces with enhanced corrosion resistance. , 2015, ACS applied materials & interfaces.

[88]  Lingbo Zhu,et al.  Hierarchical silicon etched structures for controlled hydrophobicity/superhydrophobicity. , 2007, Nano letters.

[89]  Jin Hwan Ko,et al.  Wetting Characteristics of Insect Wing Surfaces , 2009 .

[90]  A. Kietzig,et al.  Drag reduction on laser-patterned hierarchical superhydrophobic surfaces. , 2016, Soft matter.

[91]  S. M. Davachi,et al.  Superhydrophobic filter paper via an improved phase separation process for oil/water separation: study on surface morphology, composition and wettability , 2016, Cellulose.

[92]  Rui Li,et al.  A novel and facile approach to prepare self-cleaning yellow superhydrophobic polycarbonates , 2017 .

[93]  A. Moosavi,et al.  Pressure drop reduction of power-law fluids in hydrophobic microgrooved channels , 2019, Physics of Fluids.

[94]  Chih-Ming Ho,et al.  Effective slip and friction reduction in nanograted superhydrophobic microchannels , 2006 .

[95]  Björn Hof,et al.  Exceeding the Asymptotic Limit of Polymer Drag Reduction. , 2017, Physical review letters.

[96]  Feng Shi,et al.  Improving the durability of a drag-reducing nanocoating by enhancing its mechanical stability. , 2015, ACS applied materials & interfaces.

[97]  Hyungmin Park,et al.  Superhydrophobic turbulent drag reduction as a function of surface grating parameters , 2014, Journal of Fluid Mechanics.

[98]  Bharat Bhushan,et al.  Nanomanufacturing of bioinspired surfaces , 2019, Tribology International.

[99]  M. Gad-el-Hak,et al.  Modeling drag reduction and meniscus stability of superhydrophobic surfaces comprised of random roughness , 2011 .

[100]  M. Gad-el-Hak,et al.  Simulation of meniscus stability in superhydrophobic granular surfaces under hydrostatic pressures , 2011 .

[101]  J. Mostaghimi,et al.  Efficient one-step fabrication of ceramic superhydrophobic coatings by solution precursor plasma spray , 2018 .

[102]  L. Boinovich,et al.  Reinforced Superhydrophobic Coating on Silicone Rubber for Longstanding Anti-Icing Performance in Severe Conditions. , 2017, ACS applied materials & interfaces.

[103]  Steven L. Ceccio,et al.  On the energy economics of air lubrication drag reduction , 2012 .

[104]  P. Clark,et al.  Drag reduction behavior of hydrolyzed polyacrylamide/xanthan gum mixed polymer solutions , 2017, Petroleum Science.

[105]  Li Wang,et al.  Fabrication of artificial super-hydrophobic lotus-leaf-like bamboo surfaces through soft lithography , 2017 .

[106]  Y. Liu,et al.  Biodegradable polyhydroxybutyrate/poly-ε-caprolactone fibrous membranes modified by silica composite hydrol for super hydrophobic and outstanding antibacterial application , 2018, Journal of Industrial and Engineering Chemistry.

[107]  M. J. Walsh,et al.  Riblets as a Viscous Drag Reduction Technique , 1983 .

[108]  Jerzy M. Floryan,et al.  Numerical Analysis of Laminar-Drag-Reducing Grooves , 2015 .

[109]  Xiao-bo Zhu,et al.  One‐step electrochemical deposition to achieve superhydrophobic cobalt incorporated amorphous carbon‐based film with self‐cleaning and anti‐corrosion , 2018 .

[110]  Yan Zhao,et al.  Low cost and facile preparation of robust multifunctional coatings with self-healing superhydrophobicity and high conductivity , 2018 .

[111]  V. Breedveld,et al.  Creation of superhydrophobic wood surfaces by plasma etching and thin-film deposition , 2015 .

[112]  M. Gad-el-Hak,et al.  Effects of hydrostatic pressure on the drag reduction of submerged aerogel-particle coatings , 2012 .

[113]  Athanasios Tzempelikos,et al.  The effect of reflective coatings on building surface temperatures, indoor environment and energy co , 2011 .

[114]  Qiuyu Zhang,et al.  Design and preparation of biomimetic polydimethylsiloxane (PDMS) films with superhydrophobic, self-healing and drag reduction properties via replication of shark skin and SI-ATRP , 2019, Chemical Engineering Journal.

[115]  Pontus Forsberg,et al.  Cassie–Wenzel and Wenzel–Cassie transitions on immersed superhydrophobic surfaces under hydrostatic pressure , 2011 .

[116]  S. S. Latthe,et al.  Superhydrophobic Leaf Mesh Decorated with SiO2 Nanoparticle–Polystyrene Nanocomposite for Oil–Water Separation , 2019, ACS Applied Nano Materials.

[117]  A Bio-design of Superhydrophobic Nano-coating from ZnO and Studies of Its Green Photoluminescence Inspired by Lotus Leaf , 2018, Chemistry Letters.

[118]  Qing-feng Xu,et al.  Superhydrophobic/superoleophilic magnetic polyurethane sponge for oil/water separation , 2015 .

[119]  Lloyd L. Lee,et al.  Review of Fluid Slip over Superhydrophobic Surfaces and Its Dependence on the Contact Angle , 2008 .

[120]  D. Choi,et al.  Superhydrophobic plasmonic nanoarchitectures based on aluminum hydroxide nanotemplates. , 2018, Nanoscale.

[121]  Haifeng Chen,et al.  Facile spraying fabrication of highly flexible and mechanically robust superhydrophobic F-SiO2@PDMS coatings for self-cleaning and drag-reduction applications , 2018 .

[122]  W. Barthlott,et al.  Purity of the sacred lotus, or escape from contamination in biological surfaces , 1997, Planta.

[123]  James C. Weaver,et al.  Shark skin-inspired designs that improve aerodynamic performance , 2018, Journal of The Royal Society Interface.

[124]  M. S. Bobji,et al.  Sustained drag reduction and thermo-hydraulic performance enhancement in textured hydrophobic microchannels , 2018 .

[125]  Abhijeet,et al.  Influence of textural statistics on drag reduction by scalable, randomly rough superhydrophobic surfaces in turbulent flow , 2019, Physics of Fluids.

[126]  Dong Sung Kim,et al.  Facile and cost-effective fabrication of patternable superhydrophobic surfaces via salt dissolution assisted etching , 2017 .

[127]  Chaoxia Wang,et al.  Superhydrophobic–superhydrophilic switchable wettability via TiO2 photoinduction electrochemical deposition on cellulose substrate , 2016 .

[128]  Hyuneui Lim,et al.  Improved antireflection properties of moth eye mimicking nanopillars on transparent glass: flat antireflection and color tuning. , 2012, Nanoscale.

[129]  Xingyi Li,et al.  Fabrication of robust, superhydrophobic, electrically conductive and UV-blocking fabrics via layer-by-layer assembly of carbon nanotubes , 2017 .

[130]  A. Moosavi,et al.  Superhydrophobic surfaces with a dual-layer micro- and nanoparticle coating for drag reduction , 2017 .

[131]  A. Moosavi,et al.  Drag reduction in a channel with microstructure grooves using the lattice Boltzmann method , 2017 .

[132]  Yasukiyo Ueda,et al.  The Lowest Surface Free Energy Based on −CF3 Alignment , 1999 .

[133]  M. Gad-el-Hak,et al.  Predicting longevity of submerged superhydrophobic surfaces with parallel grooves , 2013 .

[134]  A. Fujishima,et al.  Development of sol–gel processed semi-transparent and self-cleaning superhydrophobic coatings , 2014 .

[135]  Bao-Hong Ma,et al.  Facile preparation of diverse alumina surface structures by anodization and superhydrophobic surfaces with tunable water droplet adhesion , 2019, Journal of Alloys and Compounds.

[136]  W. Xue,et al.  Drag reduction effect of ultraviolet laser-fabricated superhydrophobic surface , 2020, Surface Engineering.

[137]  E. Ivanova,et al.  Wettability of natural superhydrophobic surfaces. , 2014, Advances in colloid and interface science.

[138]  Jing Cui,et al.  Numerical investigation on drag reduction with superhydrophobic surfaces by lattice-Boltzmann method , 2011, Comput. Math. Appl..

[139]  S. F. Chini,et al.  Experiments on skin friction reduction induced by superhydrophobicity and Leidenfrost phenomena in a Taylor-Couette cell , 2019, International Journal of Heat and Mass Transfer.

[140]  A. Al-Ajmi,et al.  Roles of drag reducing polymers in single- and multi-phase flows , 2014 .

[141]  Bharat Bhushan,et al.  Bioinspired self-cleaning surfaces with superhydrophobicity, superoleophobicity, and superhydrophilicity , 2013 .

[142]  Simo A. Mäkiharju,et al.  Partial cavity drag reduction at high reynolds numbers , 2010 .

[143]  N. Bai,et al.  A versatile approach for preparing self-recovering superhydrophobic coatings , 2016 .

[144]  Zhiguang Guo,et al.  Metal-organic framework superhydrophobic coating on Kevlar fabric with efficient drag reduction and wear resistance , 2018, Applied Surface Science.

[145]  S. S. Latthe,et al.  Polystyrene assisted superhydrophobic silica coatings with surface protection and self-cleaning approach , 2017 .

[146]  S. S. Latthe,et al.  Recent Progress in Preparation of Superhydrophobic Surfaces: A Review , 2012 .

[147]  Y. Tsori Discontinuous liquid rise in capillaries with varying cross-sections. , 2006, Langmuir : the ACS journal of surfaces and colloids.

[148]  R. Vijayakumar,et al.  Numerical Investigation of Influence of Microbubble Injection, Distribution, Void Fraction and Flow Speed on Frictional Drag Reduction , 2019, Lecture Notes in Civil Engineering.

[149]  M. Zou,et al.  Silica nanoparticle-based films on titanium substrates with long-term superhydrophilic and superhydrophobic stability , 2013 .

[150]  A. Cassie,et al.  Wettability of porous surfaces , 1944 .

[151]  Y. F. Cheng,et al.  Stearic acid modified zinc nano-coatings with superhydrophobicity and enhanced antifouling performance , 2018 .

[152]  Xi-Qiao Feng,et al.  Towards Understanding Why a Superhydrophobic Coating Is Needed by Water Striders , 2007 .

[153]  N. Norouzi,et al.  Reducing drag force on polyester fabric through superhydrophobic surface via nano-pretreatment and water repellent finishing , 2018 .

[154]  A. Moosavi,et al.  Numerical Simulation of Drag Reduction in Microgrooved Substrates Using Lattice-Boltzmann Method , 2019, Journal of Fluids Engineering.

[155]  S. A. Mahadik,et al.  Self-cleaning silica coatings on glass by single step sol–gel route , 2011 .

[156]  R. Liao,et al.  Anti-icing performance of ZnO/SiO2/PTFE sandwich-nanostructure superhydrophobic film on glass prepared via RF magnetron sputtering , 2017 .

[157]  C. Yuan,et al.  Autoclaving-induced in-situ grown hierarchical structures for construction of superhydrophobic surfaces: A new route to fabricate antifouling coatings , 2019, Surface and Coatings Technology.

[158]  B. W. Webb,et al.  Laminar flow in a microchannel with hydrophobic surface patterned microribs oriented parallel to the flow direction , 2007 .

[159]  Gang Wang,et al.  Investigation on superhydrophilic surface with porous structure: Drag reduction or drag increasing , 2017 .

[160]  Cécile Cottin-Bizonne,et al.  High friction on a bubble mattress. , 2007, Nature materials.

[161]  Kiwoong Kim,et al.  Nearly Perfect Durable Superhydrophobic Surfaces Fabricated by a Simple One-Step Plasma Treatment , 2017, Scientific Reports.

[162]  I. Parkin,et al.  Buoyancy increase and drag-reduction through a simple superhydrophobic coating. , 2017, Nanoscale.

[163]  Tong Liu,et al.  One-step synthesis of superhydrophobic polyhedral oligomeric silsesquioxane-graphene oxide and its application in anti-corrosion and anti-wear fields , 2019, Corrosion Science.

[164]  Aziz Fihri,et al.  Recent progress in superhydrophobic coatings used for steel protection: A review , 2017 .

[165]  R. Poole,et al.  Turbulent drag reduction by polymer additives in parallel-shear flows , 2017, Journal of Fluid Mechanics.