Modeling drag reduction and meniscus stability of superhydrophobic surfaces comprised of random roughness

Physics of Fluids

Volumn 23, Issue 1, 2011, Pages

  Samaha, Mohamed A ^a   Vahedi Tafreshi, Hooman ^a   Gad el Hak, Mohamed ^a  

^a Virginia Commonwealth University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

AIR; DRAG REDUCTION; HYDROPHOBICITY; MICROFABRICATION; NUMERICAL MODELS; PHASE INTERFACES; STABILITY; SUBMARINES; SURFACE PROPERTIES;

AIR WATER INTERFACES; FABRICATION METHOD; HYDROPHOBIC PARTICLES; MICRO-STRUCTURE PARAMETERS; RANDOM DISTRIBUTION; RANDOMLY DISTRIBUTED; STAGGERED CONFIGURATION; SUPER-HYDROPHOBIC SURFACES;

SURFACE ROUGHNESS;

EID: 79551512121     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3537833     Document Type: Article

References (32)

1. Rothstein J.P. Slip on superhydrophobic surfaces. Annu. Rev. Fluid Mech. 2010, 42:89. ARVFA3, 0066-4189, 10.1146/annurev-fluid-121108-145558.
2. Gad-el-Hak M. Flow Control: Passive, Active, and Reactive Flow Management 2000, (Cambridge University Press, London, ).
3. Ou J. Perot J.B. Rothstein J.P. Laminar drag reduction in microchannels using ultrahydrophobic surfaces. Phys. Fluids 2004, 16:4635. PHFLE6, 1070-6631, 10.1063/1.1812011.
4. Ou J. Rothstein J.P. Direct velocity measurements of the flow past drag-reducing ultrahydrophobic surfaces. Phys. Fluids 2005, 17:103606. PHFLE6, 1070-6631, 10.1063/1.2109867.
5. Joseph P. Cottin-Bizonne C. Benoit 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.
6. Truesdell R. Mammoli A. Vorobieff P. van Swol P. Brinker C.J. Drag reduction on a patterned superhydrophobic surface. Phys. Rev. Lett. 2006, 97:044504. PRLTAO, 0031-9007, 10.1103/PhysRevLett.97.044504.
7. Martell M. 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.
8. Teo C.J. Khoo B.C. Analysis of stokes flow in microchannels with superhydrophobic surfaces containing a periodic array of micro-grooves. Microfluid. Nanofluid. 2009, 7:353. MNIAAR, 1613-4982, 10.1007/s10404-008-0387-0.
9. Daniello R. Waterhouse N.E. Rothstein J.P. Turbulent drag reduction using superhydrophobic surfaces. Phys. Fluids 2009, 21:085103. PHFLE6, 1070-6631, 10.1063/1.3207885.
10. Cheng Y.P. Teo C.J. Khoo B.C. Microchannel flow with superhydrophobic surfaces: Effects of Reynolds number and pattern width to channel height ratio. Phys. Fluids 2009, 21:122004. PHFLE6, 1070-6631, 10.1063/1.3281130.
11. Kunert C. Harting J. Simulation of fluid flow in hydrophobic rough microchannels. Int. J. Comput. Fluid Dyn. 2008, 22:475. IJCFEC, 1061-8562, 10.1080/10618560802238234.
12. Lauga E. Stone H.A. Effective slip in pressure-driven Stokes flow. J. Fluid Mech. 2003, 489:55. JFLSA7, 0022-1120, 10.1017/S0022112003004695.
13. Philip J. Flow satisfying mixed no-slip and no-shear conditions. Z. Angew. Math. Phys. 1972, 23:353. ZAMPA8, 0044-2275, 10.1007/BF01595477.
14. Davis A.M. J. Lauga E. The friction of a mesh-like super-hydrophobic surface. Phys. Fluids 2009, 21:113101. PHFLE6, 1070-6631, 10.1063/1.3250947.
15. Davis A.M. J. Lauga E. Geometric transition in friction for flow over a bubble mattress. Phys. Fluids 2009, 21:011701. PHFLE6, 1070-6631, 10.1063/1.3067833.
16. Sbragaglia M. Prosperetti A. Effective velocity boundary condition at a mixed slip surface. J. Fluid Mech. 2007, 578:435. JFLSA7, 0022-1120, 10.1017/S0022112007005149.
17. Sbragaglia M. Prosperetti A. A note on the effective slip properties for microchannel flows with ultrahydrophobic surfaces. Phys. Fluids 2007, 19:043603. PHFLE6, 1070-6631, 10.1063/1.2716438.
18. Lee C. Choi C.-H. Kim C.-J. Structured surfaces for giant liquid slip. Phys. Rev. Lett. 2008, 101:064501. PRLTAO, 0031-9007, 10.1103/PhysRevLett.101.064501.
19. Yang H. Deng Y. Preparation and physical properties of superhydrophobic papers. J. Colloid Interface Sci. 2008, 325:588. JCISA5, 0021-9797, 10.1016/j.jcis.2008.06.034.
20. Bhagat S.D. Kim Y.-H. Suh K.-H. Ahn Y.-S. Yeo J.-G. Han J.-H. Superhydrophobic silica aerogel powders with simultaneous surface modification, solvent exchange and sodium ion removal from hydrogels. Microporous Mesoporous Mater. 2008, 112:504. MIMMFJ, 1387-1811, 10.1016/j.micromeso.2007.10.030.
21. Ybert C. Barentin C. Cécile C.-B. Joseph P. Bocquet L. Achieving large slip with superhydrophobic surfaces: Scaling laws for generic geometries. Phys. Fluids 2007, 19:123601. PHFLE6, 1070-6631, 10.1063/1.2815730.
22. Navier C.L. M. H. Memoire sur les lois du mouvement des fluides. Mem. Acad. Sci. Inst. Fr. 1823, 6:389. MEAFA7, 0368-9263.
23. The additional validation was suggested by an anonymous reviewer.
24. Tahir M.A. Tafreshi H.V. Influence of fiber orientation on the transverse permeability of fibrous media. Phys. Fluids 2009, 21:083604. PHFLE6, 1070-6631, 10.1063/1.3211192.
25. Hosseini S.A. Tafreshi H.V. Modeling particle filtration in disordered 2-D domains: A comparison with cell models. Sep. Purif. Technol. 2010, 74:160. SPUTFP, 1383-5866, 10.1016/j.seppur.2010.06.001.
26. Patankar N.A. Transition between superhydrophobic states on rough surfaces. Langmuir 2004, 20:7097. LANGD5, 0743-7463, 10.1021/la049329e.
27. Barbieri L. Wagner E. Hoffmann P. Water wetting transition parameters of perfluorinated substrates with periodically distributed flat-top microscale obstacles. Langmuir 2007, 23:1723. LANGD5, 0743-7463, 10.1021/la0617964.
28. Extrand C.W. Criteria for ultralyophobic surfaces. Langmuir 2004, 20:5013. LANGD5, 0743-7463, 10.1021/la036481s.
29. Extrand C.W. Designing for optimum liquid repellency. Langmuir 2006, 22:1711. LANGD5, 0743-7463, 10.1021/la052540l.
30. Zheng Q.S. Yu Y. Zhao Z.H. Effects of hydraulic pressure on the stability and transition of wetting modes of superhydrophobic surfaces. Langmuir 2005, 21:12207. LANGD5, 0743-7463, 10.1021/la052054y.
31. Lee C. Kim C.-J. Maximizing the giant slip on superhydrophobic microstructures by nanostructuring their sidewalls. Langmuir 2009, 25:12812. LANGD5, 0743-7463, 10.1021/la901824d.
32. Okabe A. Boots B. Sugihara K. Chiu S.N. Spatial Tessellations: Concepts and Applications of Voronoi Diagrams 2000, and (Wiley, Chichester, ).