Superhydrophobic turbulent drag reduction as a function of surface grating parameters

Abstract Despite the confirmation of slip flows and successful drag reduction (DR) in small-scaled laminar flows, the full impact of superhydrophobic (SHPo) DR remained questionable because of the sporadic and inconsistent experimental results in turbulent flows. Here we report a systematic set of bias-free reduction data obtained by measuring the skin-friction drags on a SHPo surface and a smooth surface at the same time and location in a turbulent boundary layer (TBL) flow. Each monolithic sample consists of a SHPo surface and a smooth surface suspended by flexure springs, all carved out from a $2.7 \times 2.7 {\mathrm{mm}}^{2}$ silicon chip by photolithographic microfabrication. The flow tests allow continuous monitoring of the plastron on the SHPo surfaces, so that the DR data are genuine and consistent. A family of SHPo samples with precise profiles reveals the effects of grating parameters on turbulent DR, which was measured to be as much as ${\sim }75\, \%$ .

[1]  Hyungmin Park,et al.  A numerical study of the effects of superhydrophobic surface on skin-friction drag in turbulent channel flow , 2013 .

[2]  Eric Lauga,et al.  A smooth future? , 2011, Nature materials.

[3]  Kenneth S. Breuer,et al.  Turbulent Drag Reduction Using Superhydrophobic Surfaces , 2006 .

[4]  Mark Sheplak,et al.  Modern developments in shear-stress measurement ☆ , 2002 .

[5]  Blair Perot,et al.  Laminar drag reduction in microchannels using ultrahydrophobic surfaces , 2004 .

[6]  N. Kasagi,et al.  Effects of spatially varying slip length on friction drag reduction in wall turbulence , 2011 .

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

[8]  B. W. Webb,et al.  Liquid flow through microchannels with grooved walls under wetting and superhydrophobic conditions , 2009 .

[9]  N. Sandham,et al.  Influence of an anisotropic slip-length boundary condition on turbulent channel flow , 2012 .

[10]  D. Lohse,et al.  Quantifying effective slip length over micropatterned hydrophobic surfaces , 2009, 0902.1621.

[11]  B. W. Webb,et al.  Laminar flow in a microchannel with superhydrophobic walls exhibiting transverse ribs , 2006 .

[12]  John Kim,et al.  Physics and control of wall turbulence for drag reduction , 2011, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.

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

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

[15]  Hoon Cheol Park,et al.  Direct measurement of slip flows in superhydrophobic microchannels with transverse grooves , 2008 .

[16]  S. Ceccio Friction Drag Reduction of External Flows with Bubble and Gas Injection , 2010 .

[17]  J. Rothstein Slip on Superhydrophobic Surfaces , 2010 .

[18]  K. Breuer,et al.  On Drag Reduction in Turbulent Channel Flow over Superhydrophobic Surfaces , 2009 .

[19]  B. W. Webb,et al.  Prediction of turbulent channel flow with superhydrophobic walls consisting of micro-ribs and cavities oriented parallel to the flow direction , 2010 .

[20]  Jiapeng Zhao,et al.  Experimental research on friction-reduction with super-hydrophobic surfaces , 2007 .

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

[22]  J. Jiménez Turbulent flows over rough walls , 2004 .

[23]  Petros Koumoutsakos,et al.  A theoretical prediction of friction drag reduction in turbulent flow by superhydrophobic surfaces , 2006 .

[24]  Howard A. Stone,et al.  Effective slip in pressure-driven Stokes flow , 2003, Journal of Fluid Mechanics.

[25]  C. Kim,et al.  Turbulent drag reduction on superhydrophobic surfaces confirmed by built-in shear sensing , 2013 .

[26]  B. W. Webb,et al.  Particle image velocimetry characterization of turbulent channel flow with rib patterned superhydrophobic walls , 2009 .

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

[28]  Xiangtong Qi,et al.  Minimizing fuel emissions by optimizing vessel schedules in liner shipping with uncertain port times , 2012 .

[29]  Chang-Jin C J Kim,et al.  Maximizing the giant liquid slip on superhydrophobic microstructures by nanostructuring their sidewalls. , 2009, Langmuir : the ACS journal of surfaces and colloids.

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

[31]  P Tabeling,et al.  Slippage of water past superhydrophobic carbon nanotube forests in microchannels. , 2006, Physical review letters.

[32]  J. B. Perot,et al.  An analysis of superhydrophobic turbulent drag reduction mechanisms using direct numerical simulation , 2010 .

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

[34]  J. Blair Perot,et al.  Direct numerical simulations of turbulent flows over superhydrophobic surfaces , 2008, Journal of Fluid Mechanics.

[35]  C. Kim,et al.  Wetting and Active Dewetting Processes of Hierarchically Constructed Superhydrophobic Surfaces Fully Immersed in Water , 2012, Journal of Microelectromechanical Systems.

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

[37]  P. Krogstad,et al.  Influence of a strong adverse pressure gradient on the turbulent structure in a boundary layer , 1995 .

[38]  제종두 Direct numerical simulation of turbulent channel flow with permeable walls , 1999 .

[39]  Bharat Bhushan,et al.  Biomimetic structures for fluid drag reduction in laminar and turbulent flows , 2010, Journal of physics. Condensed matter : an Institute of Physics journal.

[40]  M. Gad-el-Hak,et al.  Influence of flow on longevity of superhydrophobic coatings. , 2012, Langmuir : the ACS journal of surfaces and colloids.

[41]  John Kim,et al.  Effects of hydrophobic surface on skin-friction drag , 2004 .

[42]  Chang-Hwan Choi,et al.  Structured surfaces for a giant liquid slip. , 2008, Physical review letters.

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