The symmetry of mobility laws for viscous flow along arbitrarily patterned surfaces

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...

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书目详细资料
Main Authors: Kamrin, Kenneth N., Stone, Howard A.
其他作者: Massachusetts Institute of Technology. Department of Mechanical Engineering
格式: 文件
语言:en_US
出版: American Institute of Physics 2012
在线阅读:http://hdl.handle.net/1721.1/67891
https://orcid.org/0000-0002-5154-9787
实物特征
总结: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.