Beyond the no-slip boundary condition
Name
Brenner-2011-Beyond the no-slip boundary condition.pdf
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181.06 KB
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Author(s)
Brenner, Howard
Date Issued
October 2011
Journal
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
Abstract
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.
MIT Department
Massachusetts Institute of Technology. Department of Chemical Engineering
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1103/PhysRevE.84.046309
