Beyond the no-slip boundary condition
Author(s)
Brenner, Howard
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This paper offers a simple macroscopic approach to the question of the slip boundary condition to be imposed upon the tangential component of the fluid velocity at a solid boundary. Plausible reasons are advanced for believing that it is the energy equation rather than the momentum equation that determines the correct fluid-mechanical boundary condition. The scheme resulting therefrom furnishes the following general, near-equilibrium linear constitutive relation for the slip velocity of mass along a relatively flat wall bounding a single-component gas or liquid: (v[subscript ]m)[subscript slip]=−α∂lnρ/∂s|[subscript wall], where α and ρ are, respectively, the fluid's thermometric diffusivity and mass density, while the length δs refers to distance measured along the wall in the direction in which the slip or creep occurs. This constitutive relation is shown to agree with experimental data for gases and liquids undergoing thermal creep or pressure-driven viscous creep at solid surfaces.
Date issued
2011-10Department
Massachusetts Institute of Technology. Department of Chemical EngineeringJournal
Physical Review E
Publisher
American Physical Society (APS)
Citation
Brenner, Howard. “Beyond the no-slip boundary condition.” Physical Review E 84.4 (2011): n. pag. Web. 25 Jan. 2012. © 2011 American Physical Society
Version: Final published version
ISSN
1539-3755
1550-2376