An analysis of superhydrophobic turbulent drag reduction mechanisms using direct numerical simulation

Physics of Fluids

Volumn 22, Issue 6, 2010, Pages 1-13

  Martell, Michael B ^a   Rothstein, Jonathan P ^a   Perot, J Blair ^a  

^a University of Massachusetts   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BLOOD VESSELS; CHANNEL FLOW; DIRECT NUMERICAL SIMULATION; DRAG REDUCTION; NUMERICAL MODELS; REYNOLDS NUMBER; SHEAR FLOW; SHEAR STRESS; SURFACE CHEMISTRY; SURFACE PROPERTIES; TURBULENT FLOW; VELOCITY;

HYDROPHOBIC SURFACES; LAMINAR AND TURBULENT FLOW; MEAN VELOCITY PROFILES; SUPER-HYDROPHOBIC SURFACES; SUPERHYDROPHOBIC; TURBULENT CHANNEL FLOWS; TURBULENT DRAG REDUCTION; WALL SHEAR STRESS;

HYDROPHOBICITY;

EID: 77954468947     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3432514     Document Type: Article

References (42)

1. Öner D. McCarthy T.J. Ultrahydrophobic surfaces. Effects of topography length scales on wettability. Langmuir 2000, 16:7777. LANGD5, 0743-7463, 10.1021/la000598o
2. Chen W. Fadeev A.Y. Hsieh M.C. Öner D. Youngblood J. McCarthy T.J. Ultrahydrophobic and ultralyophobic surfaces: Some comments and examples. Langmuir 1999, 15:3395. LANGD5, 0743-7463, 10.1021/la990074s
3. Barthlott W. Neinhuis C. Purity of the sacred lotus, or escape from contamination in biological surfaces. Planta 1997, 202:1. PLANAB, 0032-0935, 10.1007/s004250050096
4. Watanabe K. Yanuar H. Udagawa H. Drag reduction of Newtonian fluid in a circular pipe with highly water-repellant wall. J. Fluid Mech. 1999, 381:225. JFLSA7, 0022-1120, 10.1017/S0022112098003747
5. Watanabe K. Akino T. Drag reduction in laminar flow between two vertical coaxial cylinders. ASME J. Fluids Eng. 1999, 121:541. JFEGA4, 0098-2202, 10.1115/1.2823502
6. Watanabe K. Yanuar H. Katsutoshi O. Mizunuma H. Drag-reduction in flow through square and rectangular ducts with highly water repellent walls. 1996, 237:115-119. Proceedings of the Second ASME Fluids Engineering Conference
7. Watanabe K. Takayama T. Ogata S. Isozaki S. Flow between two coaxial rotating cylinders with a highly water-repellent wall. AIChE J. 2003, 49:1956. AICEAC, 0001-1541, 10.1002/aic.690490805
8. Jun T. Qunji X. Plate drag-reduction with low surface-energy coating in a water tunnel. Chin. Sci. Bull. 1997, 42:307. CSBUEF, 1001-6538, 10.1007/BF02882921
9. Ou J. Perot J.B. Rothstein J.P. Laminar drag reduction in microchannels using superhydrophobic surfaces. Phys. Fluids 2004, 16:4635. PHFLE6, 1070-6631, 10.1063/1.1812011
10. Ou J. Rothstein J. Direct velocity measurements of the flow past drag-reducing ultrahydrophobic surfaces. Phys. Fluids 2005, 17:103606. PHFLE6, 1070-6631, 10.1063/1.2109867
11. Joseph P. Cottin-Bizonne C. Benot J.M. Ybert C. Journet C. Tabeling P. Bocquet L. Slippage of water past superhydrophobic carbon nanotube forests in microchannels. Phys. Rev. Lett. 2006, 97:156104. PRLTAO, 0031-9007, 10.1103/PhysRevLett.97.156104
12. Maynes D. Webb B.W. Fully developed electro-osmotic heat transfer in microchannels. Int. J. Heat Mass Transfer 2003, 46:1359. IJHMAK, 0017-9310, 10.1016/S0017-9310(02)00423-4
13. Philip J.R. Flows satisfying mixed no-slip and no-shear conditions. Z. Angew. Math. Phys. 1972, 23:353. ZAMPA8, 0044-2275, 10.1007/BF01595477
14. Philip J.R. Integral properties of flows satisfying mixed no-slip and no-shear conditions. Z. Angew. Math. Phys. 1972, 23:960. ZAMPA8, 0044-2275, 10.1007/BF01596223
15. Lauga E. Stone H. Effective slip in pressure-driven stokes flow. J. Fluid Mech. 2003, 489:55. JFLSA7, 0022-1120, 10.1017/S0022112003004695
16. Gordon T.D. McCarthy T.J. Drag-reduction and slip: An investigation of size scale and hydrophobicity effects. 2000, 253:367. Proceedings of the ASME Fluids Engineering Division
17. Gogte S. Vorobieff P. Truesdell R. Mammoli A. van Swol F. Shah P. Brinker C.J. Effective slip on textured superhydrophobic surfaces. Phys. Fluids 2005, 17:051701. PHFLE6, 1070-6631, 10.1063/1.1896405
18. Murai Y. Oiwa H. Takeda Y. Frictional drag reduction in bubbly Couette-Taylor flow. Phys. Fluids 2008, 20:034101. PHFLE6, 1070-6631, 10.1063/1.2884471
19. Davies J. Maynes D. Webb B.W. Woolford B. Laminar flow in a microchannel with superhydrophobic walls exhibiting transverse ribs. Phys. Fluids 2006, 18:087110. PHFLE6, 1070-6631, 10.1063/1.2336453
20. Hahn S. Je J. Choi H. Direct numerical simulation of turbulent channel flow with permeable walls. J. Fluid Mech. 2002, 450:259. JFLSA7, 0022-1120, 10.1017/S0022112001006437
21. Tyrrell J.W. G. Attard P. Images of nanobubbles on hydrophobic surfaces and their interactions. Phys. Rev. Lett. 2001, 87:176104. PRLTAO, 0031-9007, 10.1103/PhysRevLett.87.176104
22. Daniello R.J. Waterhouse N.E. Rothstein J.P. Drag reduction in turbulent flows over superhydrophobic surfaces. Phys. Fluids 2009, 21:085103. PHFLE6, 1070-6631, 10.1063/1.3207885
23. Woolford B.L. Laminar and turbulent flow of a liquid through channels with superhydrophobic walls exhibiting alternating ribs and cavities. 2009, Ph.D. thesis, The University of Massachusetts Amherst
24. Fukagata K. Kasagi N. Koumoutsakos P. A theoretical prediction of friction drag in turbulent flow by superhydrophobic surfaces. Phys. Fluids 2006, 18:051703. PHFLE6, 1070-6631, 10.1063/1.2205307
25. Min T. Kim J. Effects of hydrophobic surface on skin-friction drag. Phys. Fluids 2004, 16:L55. PHFLE6, 1070-6631, 10.1063/1.1755723
26. Min T. Kim J. Effects of hydrophobic surface on stability and transition. Phys. Fluids 2005, 17:108106. PHFLE6, 1070-6631, 10.1063/1.2126569
27. Martell M.B. Perot J.B. Rothstein J.P. Direct numerical simulations of turbulent flows over superhydrophobic surfaces. J. Fluid Mech. 2009, 620:31. JFLSA7, 0022-1120, 10.1017/S0022112008004916
28. Ybert C. Barentin C. Cottin-Bizonne C. Achieving large slip with superhydrophobic surfaces: Scaling laws for generic geometries. Phys. Fluids 2007, 19:123601. PHFLE6, 1070-6631, 10.1063/1.2815730
29. Martell M.B. Simulations of turbulence over superhydrophobic surfaces. 2009, M.S. thesis, The University of Massachusetts Amherst
30. Moser R. Kim J. Mansour N. Direct numerical simulation of turbulent channel flow up to Reτ=590. Phys. Fluids 1999, 11:943. PHFLE6, 1070-6631, 10.1063/1.869966
31. Daniello R.J. Drag reduction in turbulent flows over micropatterned superhydrophobic surfaces. 2009, M.S. thesis, The University of Massachusetts Amherst
32. Perot J.B. An analysis of the fractional step method. J. Comput. Phys. 1993, 108:51. JCTPAH, 0021-9991, 10.1006/jcph.1993.1162
33. Perot J.B. Conservation properties of unstructured staggered mesh schemes. J. Comput. Phys. 2000, 159:58. JCTPAH, 0021-9991, 10.1006/jcph.2000.6424
34. Mittal R. Moin P. Suitability of upwind-biased finite difference schemes for large-eddy simulation of turbulent flows. AIAA J. 1997, 35:1415. AIAJAH, 0001-1452, 10.2514/2.253
35. Zhang X. Schmidt D. Perot J.B. Accuracy and conservation properties of a three-dimensional staggered mesh scheme. J. Comput. Phys. 2002, 175:764. JCTPAH, 0021-9991, 10.1006/jcph.2001.6973
36. Nilsson M. Exploring fundamental turbulent physics using direct numerical simulations. 2008, M.S. thesis, The University of Massachusetts, Amherst
37. Perot J.B. Gadebusch J. A stress transport equation model for simulating turbulence at any mesh resolution. Theor. Comput. Fluid Dyn. 2009, 23:271. TCFDEP, 0935-4964, 10.1007/s00162-009-0113-x
38. Spencer N.B. Lee L.L. Parthasarathy R.N. Papavassiliou D.V. Turbulence structure for plane Poiseuille-Couette flow and implications for drag reduction over surfaces with slip. Can. J. Chem. Eng. 2009, 87:38. CJCEA7, 0008-4034, 10.1002/cjce.20136
39. Perot J.B. Moin P. Shear-free turbulent boundary layers. Part 1. Physical insights into near-wall turbulence. J. Fluid Mech. 1995, 295:199. JFLSA7, 0022-1120, 10.1017/S0022112095001935
40. Kim J. Moin P. Moser R. Turbulence statistics in fully developed channel flow at low Reynolds number. J. Fluid Mech. 1987, 177:133. JFLSA7, 0022-1120, 10.1017/S0022112087000892
41. Choi H. Moin P. Kim J. Direct numerical simulation of turbulent flow over riblets. J. Fluid Mech. 1993, 255:503. JFLSA7, 0022-1120, 10.1017/S0022112093002575
42. Lee M.J. Kim J. Moin P. Structure of turbulence at high shear rate. J. Fluid Mech. 1990, 216:561. JFLSA7, 0022-1120, 10.1017/S0022112090000532