References
- Cassie A, Baxter S. Wettability of porous surfaces. Trans Faraday Soc. 1944;40:546–551.
- Philip JR. Flows satisfying mixed no-slip and no-shear conditions. Z Angewandte Math Phys ZAMP. 1972;23(3):353–372.
- Philip JR. Integral properties of flows satisfying mixed no-slip and no-shear conditions. Z Angewandte Math Phys ZAMP. 1972;23(6):960–968.
- Lauga E, Stone HA. Effective slip in pressure-driven Stokes flow. J Fluid Mech. 2003;489:55.
- Teo C, Khoo B. Analysis of Stokes flow in microchannels with superhydrophobic surfaces containing a periodic array of micro-grooves. Microfluid Nanofluidics. 2009;7(3):353.
- Ng C-O, Wang C. Effective slip for Stokes flow over a surface patterned with two-or three-dimensional protrusions. Fluid Dyn Res. 2011;43(6):065504.
- Watanabe K, Udagawa Y, Udagawa H. Drag reduction of Newtonian fluid in a circular pipe with a highly water-repellent wall. J Fluid Mech. 1999;381:225–238.
- Ou J, Perot B, Rothstein JP. Laminar drag reduction in microchannels using ultrahydrophobic surfaces. Phys Fluids. 2004;16(12):4635–4643.
- Ou J, Rothstein JP. Direct velocity measurements of the flow past drag-reducing ultrahydrophobic surfaces. Phys Fluids. 2005;17(10):103606.
- Cottin-Bizonne C, Barentin C, Charlaix É, et al. Dynamics of simple liquids at heterogeneous surfaces: molecular-dynamics simulations and hydrodynamic description. Eur Phys J E. 2004;15(4):427–438.
- Davies J, Maynes D, Webb BW, et al. Laminar flow in a microchannel with superhydrophobic walls exhibiting transverse ribs. Phys Fluids. 2006;18(8):087110.
- Maynes D, Jeffs K, Woolford B, et al. Laminar flow in a microchannel with hydrophobic surface patterned microribs oriented parallel to the flow direction. Phys Fluids. 2007;19(9):093603.
- Cheng Y, Teo C, Khoo B. Microchannel flows with superhydrophobic surfaces: effects of Reynolds number and pattern width to channel height ratio. Phys Fluids. 2009;21(12):122004.
- Yu KH, Lee HW, Teoh YH, et al. Developing flow of Newtonian fluids over superhydrophobic transverse grooves in circular tube. J Mech Sci Technol. 2021;35(1):199–207.
- Woolford B, Prince J, Maynes D, et al. Particle image velocimetry characterization of turbulent channel flow with rib patterned superhydrophobic walls. Phys Fluids. 2009;21(8):085106.
- Daniello RJ, Waterhouse NE, Rothstein JP. Drag reduction in turbulent flows over superhydrophobic surfaces. Phys Fluids. 2009;21(8):085103.
- Ling H, Katz J, Fu M, et al. Effect of Reynolds number and saturation level on gas diffusion in and out of a superhydrophobic surface. Phys Rev Fluids. 2017;2(12):124005.
- Gose JW, Golovin K, Boban M, et al. Characterization of superhydrophobic surfaces for drag reduction in turbulent flow. J Fluid Mech. 2018;845:560.
- Min T, Kim J. Effects of hydrophobic surface on skin-friction drag. Phys Fluids. 2004;16(7):L55–L58.
- Busse A, Sandham N. Influence of an anisotropic slip-length boundary condition on turbulent channel flow. Phys Fluids. 2012;24(5):055111.
- Martell MB, Perot JB, Rothstein JP. Direct numerical simulations of turbulent flows over superhydrophobic surfaces. J Fluid Mech. 2009;620:31–41.
- Martell MB, Rothstein JP, Perot JB. An analysis of superhydrophobic turbulent drag reduction mechanisms using direct numerical simulation. Phys Fluids. 2010;22(6):065102.
- Park H, Park H, Kim J. A numerical study of the effects of superhydrophobic surface on skin-friction drag in turbulent channel flow. Phys Fluids. 2013;25(11):110815.
- Türk S, Daschiel G, Stroh A, et al. Turbulent flow over superhydrophobic surfaces with streamwise grooves. J Fluid Mech. 2014;747:186.
- Jelly T, Jung S, Zaki T. Turbulence and skin friction modification in channel flow with streamwise-aligned superhydrophobic surface texture. Phys Fluids. 2014;26(9):095102.
- Im HJ, Lee JH. Comparison of superhydrophobic drag reduction between turbulent pipe and channel flows. Phys Fluids. 2017;29(9):095101.
- Chang J, Jung T, Choi H, et al. Predictions of the effective slip length and drag reduction with a lubricated micro-groove surface in a turbulent channel flow. J Fluid Mechan. 2019;874:797–820.
- Byun D, Kim J, Ko HS, et al. Direct measurement of slip flows in superhydrophobic microchannels with transverse grooves. Phys Fluids. 2008;20(11):113601.
- Tsai P, Peters AM, Pirat C, et al. Quantifying effective slip length over micropatterned hydrophobic surfaces. Phys Fluids. 2009;21(11):112002.
- Karatay E, Haase AS, Visser CW, et al. Control of slippage with tunable bubble mattresses. Proc Natl Acad Sci. 2013;110(21):8422–8426.
- Teo C, Khoo B. Flow past superhydrophobic surfaces containing longitudinal grooves: effects of interface curvature. Microfluid Nanofluidics. 2010;9(2-3):499–511.
- Teo C, Khoo B. Effects of interface curvature on Poiseuille flow through microchannels and microtubes containing superhydrophobic surfaces with transverse grooves and ribs. Microfluid Nanofluidics. 2014;17(5):891–905.
- Wang L, Teo C, Khoo B. Effects of interface deformation on flow through microtubes containing superhydrophobic surfaces with longitudinal ribs and grooves. Microfluid Nanofluidics. 2014;16(1-2):225–236.
- Seo J, García-Mayoral R, Mani A. Pressure fluctuations and interfacial robustness in turbulent flows over superhydrophobic surfaces. J Fluid Mech. 2015;783:448–473.
- Seo J, García-Mayoral R, Mani A. Turbulent flows over superhydrophobic surfaces: flow-induced capillary waves, and robustness of air–water interfaces. J Fluid Mech. 2017;835:45–85.
- Seo J, Mani A. Effect of texture randomization on the slip and interfacial robustness in turbulent flows over superhydrophobic surfaces. Phys Rev Fluids. 2018;3(4):044601.
- Yao J, Teo C. Effect of the liquid–gas interface curvature for a superhydrophobic surface with longitudinal grooves in turbulent flows. Phys Fluids. 2021;33(7):075116.
- Feng L, Song Y, Zhai J, et al. Creation of a superhydrophobic surface from an amphiphilic polymer. Angew Chem Int Ed. 2003;42(7):800–802.
- Ramos S, Charlaix E, Benyagoub A. Contact angle hysteresis on nano-structured surfaces. Surf Sci. 2003;540(2-3):355–362.
- Hao PF, et al. Laminar drag reduction in hydrophobic microchannels. Chem Eng Technol: Ind Chem Equipment-Process Eng. 2009;32(6):912–918.
- Henoch C, Tom Krupenkin, Paul Kolodner, et al. Turbulent drag reduction using superhydrophobic surfaces. in 3rd AIAA Flow Control Conference. 2006.
- Liu H, Feng L, Zhai J, et al. Reversible wettability of a chemical vapor deposition prepared ZnO film between superhydrophobicity and superhydrophilicity. Langmuir. 2004;20(14):5659–5661.
- Kanai N, Nuida T, Ueta K, et al. Photocatalytic efficiency of TiO2/SnO2 thin film stacks prepared by DC magnetron sputtering. Vacuum. 2004;74(3-4):723–727.
- Bidkar RA, Leblanc L, Kulkarni AJ, et al. Skin-friction drag reduction in the turbulent regime using random-textured hydrophobic surfaces. Phys Fluids. 2014;26(8):085108.
- Li H, Ji SS, Tan X, et al. Effect of Reynolds number on drag reduction in turbulent boundary layer flow over liquid–gas interface. Phys Fluids. 2020;32(12):122111.
- Lee C, Choi C-H, Kim C-J. Superhydrophobic drag reduction in laminar flows: a critical review. Exp Fluids. 2016;57(12):1–20.
- Lee J, Jelly TO, Zaki TA. Effect of Reynolds number on turbulent drag reduction by superhydrophobic surface textures. Flow Turbul Combust. 2015;95(2):277–300.
- Lar Kermani E, Roohi E, Porté-Agel F. Evaluating the modulated gradient model in large eddy simulation of channel flow with OpenFOAM. J Turbul. 2018;19(7):600–620.
- Rezaeiravesh S, Liefvendahl M. Effect of grid resolution on large eddy simulation of wall-bounded turbulence. Phys Fluids. 2018;30(5):055106.
- Montecchia M, Brethouwer G, Wallin S, et al. Improving LES with OpenFOAM by minimising numerical dissipation and use of explicit algebraic SGS stress model. J Turbul. 2019;20(11-12):697–722.
- Nouri NM, Sekhavat S, Mofidi A. Drag reduction in a turbulent channel flow with hydrophobic wall. J Hydrodyn Ser B. 2012;24(3):458–466.
- Nouri NM, Bakhsh MS, Sekhavat S. Analysis of shear rate effects on drag reduction in turbulent channel flow with superhydrophobic wall. J Hydrodyn Ser B. 2013;25(6):944–953.
- Moghtadernejad S, Tembely M, Jadidi M, et al. Shear driven droplet shedding and coalescence on a superhydrophobic surface. Phys Fluids. 2015;27(3):032106.
- Pope SB. Turbulent flows. Cambridge: Cambridge university press; 2000.
- Piomelli U, Balaras E. Wall-layer models for large-eddy simulations. Annu Rev Fluid Mech. 2002;34(1):349–374.
- Piomelli U. Wall-layer models for large-eddy simulations. Prog Aerosp Sci. 2008;44(6):437–446.
- Deardorff JW. A numerical study of three-dimensional turbulent channel flow at large Reynolds numbers. J Fluid Mech. 1970;41(2):453–480.
- Moin P, Kim J. Numerical investigation of turbulent channel flow. J Fluid Mech. 1982;118:341–377.
- Lesieur M, Metais O. New trends in large-eddy simulations of turbulence. Annu Rev Fluid Mech. 1996;28(1):45–82.
- Van Driest ER. On turbulent flow near a wall. J Aeronaut Sci. 1956;23(11):1007–1011.
- Piomelli U. High Reynolds number calculations using the dynamic subgrid-scale stress model. Phys Fluids A: Fluid Dyn. 1993;5(6):1484–1490.
- Lenormand E, Sagaut P, Phuoc LT, et al. Subgrid-scale models for large-eddy simulations of compressible wall bounded flows. AIAA J. 2000;38(8):1340–1350.
- Lilly, K., The representation of small-scale turbulence in numerical simulation experiments. 1966.
- Ghosal S, Lund TS, Moin P, et al. A dynamic localization model for large-eddy simulation of turbulent flows. J Fluid Mech. 1995;286:229–255.
- Gallerano F, Pasero E, Cannata G. A dynamic two-equation sub grid scale model. Contin Mech Thermodyn. 2005;17(2):101–123.
- Yoshizawa A, Horiuti K. A statistically-derived subgrid-scale kinetic energy model for the large-eddy simulation of turbulent flows. J Phys Soc Japan. 1985;54(8):2834–2839.
- Park H, Sun G. Superhydrophobic turbulent drag reduction as a function of surface grating parameters. J Fluid Mech. 2014;747:722–734.
- Bernardini M, Pirozzoli S, Orlandi P. Velocity statistics in turbulent channel flow up to Re τ = 4000. J Fluid Mech. 2014;742:171–191.
- Lee M, Moser RD. Direct numerical simulation of turbulent channel flow up to Re τ = 5200. J Fluid Mech. 2015;774:395–415.
- Jeong J, Hussain F. On the identification of a vortex. J Fluid Mech. 1995;285:69–94.
- Kim J, Moin P, Moser R. Turbulence statistics in fully developed channel flow at low Reynolds number. J Fluid Mech. 1987;177:133–166.
- Choi H, Moin P, Kim J. Direct numerical simulation of turbulent flow over riblets. J Fluid Mech. 1993;255:503–539.
- Karniadakis G, Choi K-S. Mechanisms on transverse motions in turbulent wall flows. Ann Rev Fluid Mech. 2003;35(1):45–62.
- Bechert D, Bruse M, Hage W. Experiments with three-dimensional riblets as an idealized model of shark skin. Exp Fluids. 2000;28(5):403–412.
- Walsh M, Lindemann A. Optimization and application of riblets for turbulent drag reduction. in 22nd Aerospace Sciences Meeting. 1984.
- Bechert D, Bruse M, Hage W, et al. Experiments on drag-reducing surfaces and their optimization with an adjustable geometry. J Fluid Mech. 1997;338:59–87.