The symmetry of mobility laws for viscous flow along arbitrarily patterned surfaces
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PoF2011.pdf
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Author(s)
Kamrin, Kenneth N.
Stone, Howard A.
Date Issued
March 2011
Journal
Physics of Fluids
Publisher
American Institute of Physics
Citation
Kamrin, Ken, and Howard A. Stone. “The symmetry of mobility laws for viscous flow along arbitrarily patterned surfaces.” Physics of Fluids 23.3 (2011): 031701.© 2011 American Institute of Physics.
Version
Final published version
Abstract
Generalizations of the no-slip boundary condition to allow for slip at a patterned fluid-solid boundary introduce a surface mobility tensor, which relates the shear traction vector tangent to the mean surface to an apparent surface velocity vector. For steady, low-Reynolds-number fluid motions over planar surfaces perturbed by arbitrary periodic height and Navier slip fluctuations, we prove that the resulting mobility tensor is always symmetric, which had previously been conjectured. We describe generalizations of the results to three other families of geometries, which typically have unsteady flow.
MIT Department
Massachusetts Institute of Technology. Department of Mechanical 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/10.1063/1.3560320
