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...
| Main Authors: | , |
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| Format: | Article |
| Language: | en_US |
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American Institute of Physics
2012
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| Online Access: | http://hdl.handle.net/1721.1/67891 https://orcid.org/0000-0002-5154-9787 |
| _version_ | 1826218144306298880 |
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| author | Kamrin, Kenneth N. Stone, Howard A. |
| author2 | Massachusetts Institute of Technology. Department of Mechanical Engineering |
| author_facet | Massachusetts Institute of Technology. Department of Mechanical Engineering Kamrin, Kenneth N. Stone, Howard A. |
| author_sort | Kamrin, Kenneth N. |
| collection | MIT |
| description | 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. |
| first_indexed | 2024-09-23T17:14:54Z |
| format | Article |
| id | mit-1721.1/67891 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T17:14:54Z |
| publishDate | 2012 |
| publisher | American Institute of Physics |
| record_format | dspace |
| spelling | mit-1721.1/678912022-10-03T11:22:21Z The symmetry of mobility laws for viscous flow along arbitrarily patterned surfaces Kamrin, Kenneth N. Stone, Howard A. Massachusetts Institute of Technology. Department of Mechanical Engineering Kamrin, Kenneth N. Kamrin, Kenneth N. 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. National Science Foundation (U.S.) (NSF MSPRF program) National Institutes of Health (U.S.) (NSF Grant No. CBET-0961081) 2012-01-03T16:09:42Z 2012-01-03T16:09:42Z 2011-03 2011-01 Article http://purl.org/eprint/type/JournalArticle 1070-6631 1089-7666 http://hdl.handle.net/1721.1/67891 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. https://orcid.org/0000-0002-5154-9787 en_US http://dx.doi.org/10.1063/1.3560320 Physics of Fluids 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. application/pdf American Institute of Physics Prof. Kamrin via Angie Locknar |
| spellingShingle | Kamrin, Kenneth N. Stone, Howard A. The symmetry of mobility laws for viscous flow along arbitrarily patterned surfaces |
| title | The symmetry of mobility laws for viscous flow along arbitrarily patterned surfaces |
| title_full | The symmetry of mobility laws for viscous flow along arbitrarily patterned surfaces |
| title_fullStr | The symmetry of mobility laws for viscous flow along arbitrarily patterned surfaces |
| title_full_unstemmed | The symmetry of mobility laws for viscous flow along arbitrarily patterned surfaces |
| title_short | The symmetry of mobility laws for viscous flow along arbitrarily patterned surfaces |
| title_sort | symmetry of mobility laws for viscous flow along arbitrarily patterned surfaces |
| url | http://hdl.handle.net/1721.1/67891 https://orcid.org/0000-0002-5154-9787 |
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