Slip length for longitudinal shear flow over a dilute periodic mattress of protruding bubbles

Physics of Fluids

Volumn 22, Issue 12, 2010, Pages

  Crowdy, Darren ^a  

^a IMPERIAL COLLEGE LONDON   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

FINITE ELEMENT METHOD;

ANALYTICAL FORMULAS; CIRCULAR ARC; FINITE ELEMENT SIMULATIONS; FRICTIONAL SLIP; LONGITUDINAL SHEAR; MICRO-FLUID; PERIODIC ARRAYS; TRANSVERSE SHEAR;

SHEAR FLOW;

EID: 79251534421     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3531683     Document Type: Article

References (16)

1. Neto C. Evans D.R. Bonaccurso E. Butt H.-J. Craig V.S. J. Boundary slip in Newtonian liquids: A review of experimental studies. Rep. Prog. Phys. 2005, 68:2859. RPPHAG, 0034-4885, 10.1088/0034-4885/68/12/R05.
2. Lauga E. Brenner M.P. Stone H.A. Microfluidics: The no-slip boundary condition. Handbook of Experimental Fluid Dynamics 2007, A. Y. C. Tropea, J. F. Foss, and i edited by and (Springer, New York, ).
3. Ou J. Perot 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. Drag reduction and μ-PIV measurements of the flow past ultrahydrophobic surfaces. Phys. Fluids 2005, 17:103606. PHFLE6, 1070-6631, 10.1063/1.2109867.
5. Steinberger A. Cottin-Bizonne C. Kleimann P. Charlaix E. High friction on a bubble mattress. Nature Mater. 2007, 6:665. NMAACR, 1476-1122, 10.1038/nmat1962.
6. 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.
7. Hyväluoma J. Harting J. Slip flow over structured surfaces with entrapped microbubbles. Phys. Rev. Lett. 2008, 100:246001. PRLTAO, 0031-9007, 10.1103/PhysRevLett.100.246001.
8. Lauga E. Stone H.A. Effective slip in pressure-driven Stokes flow. J. Fluid Mech. 2003, 489:55. JFLSA7, 0022-1120, 10.1017/S0022112003004695.
9. 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.
10. 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.
11. Teo C.J. Khoo B.C. Flow past superhydrophobic surfaces containing longitudinal grooves: Effects of interface curvature. Microfluid. Nanofluid. 2010, 9:499. MNIAAR, 1613-4982, 10.1007/s10404-010-0566-7.
12. Feuillebois F. Bazant M.Z. Vinogradova O. Transverse flow in thin superhydrophobic channels. Phys. Rev. E 2010, 82:055301. PLEEE8, 1063-651X, 10.1103/PhysRevE.82.055301, and (R).
13. Stroock A.D. Dertigner S.K. Whitesides G.M. Adjari A. Patterning flows using grooved surfaces. Anal. Chem. 2002, 74:5306. ANCHAM, 0003-2700, 10.1021/ac0257389.
14. Stone H.A. Stroock A.D. Ajdari A. Engineering flows in small devices: Microfluidics toward a lab-on-a-chip. Annu. Rev. Fluid Mech. 2004, 36:381. ARVFA3, 0066-4189, 10.1146/annurev.fluid.36.050802.122124.
15. Bazant M.Z. Vinogradova O. Tensorial hydrodynamic slip. J. Fluid Mech. 2008, 613:125. JFLSA7, 0022-1120, 10.1017/S002211200800356X.
16. Kamrin K. Bazant M.Z. Stone H.A. Effective slip boundary conditions for arbitrary periodic surfaces: The surface mobility tensor. J. Fluid Mech. 2010, 658:409. JFLSA7, 0022-1120, 10.1017/S0022112010001801.