Beyond the no-slip boundary condition
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 det...
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| Other Authors: | |
| Format: | Article |
| Language: | en_US |
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American Physical Society (APS)
2012
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| Online Access: | http://hdl.handle.net/1721.1/68655 |
| _version_ | 1826218144504479744 |
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| author | Brenner, Howard |
| author2 | Massachusetts Institute of Technology. Department of Chemical Engineering |
| author_facet | Massachusetts Institute of Technology. Department of Chemical Engineering Brenner, Howard |
| author_sort | Brenner, Howard |
| collection | MIT |
| description | 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. |
| first_indexed | 2024-09-23T17:14:54Z |
| format | Article |
| id | mit-1721.1/68655 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T17:14:54Z |
| publishDate | 2012 |
| publisher | American Physical Society (APS) |
| record_format | dspace |
| spelling | mit-1721.1/686552022-10-03T11:21:46Z Beyond the no-slip boundary condition Brenner, Howard Massachusetts Institute of Technology. Department of Chemical Engineering Brenner, Howard Brenner, Howard 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. 2012-01-25T20:23:46Z 2012-01-25T20:23:46Z 2011-10 2011-09 Article http://purl.org/eprint/type/JournalArticle 1539-3755 1550-2376 http://hdl.handle.net/1721.1/68655 Brenner, Howard. “Beyond the no-slip boundary condition.” Physical Review E 84.4 (2011): n. pag. Web. 25 Jan. 2012. © 2011 American Physical Society en_US http://dx.doi.org/10.1103/PhysRevE.84.046309 Physical Review E 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 Physical Society (APS) APS |
| spellingShingle | Brenner, Howard Beyond the no-slip boundary condition |
| title | Beyond the no-slip boundary condition |
| title_full | Beyond the no-slip boundary condition |
| title_fullStr | Beyond the no-slip boundary condition |
| title_full_unstemmed | Beyond the no-slip boundary condition |
| title_short | Beyond the no-slip boundary condition |
| title_sort | beyond the no slip boundary condition |
| url | http://hdl.handle.net/1721.1/68655 |
| work_keys_str_mv | AT brennerhoward beyondthenoslipboundarycondition |