On the second-order temperature jump coefficient of a dilute gas
Author manuscript date January 19, 2012
Main Authors: | , , , |
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Format: | Article |
Language: | en_US |
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Cambridge University Press
2013
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Online Access: | http://hdl.handle.net/1721.1/79844 https://orcid.org/0000-0002-1670-2264 |
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author | Radtke, Gregg A. Takata, S. Aoki, K. Hadjiconstantinou, Nicolas |
author2 | Massachusetts Institute of Technology. Department of Mechanical Engineering |
author_facet | Massachusetts Institute of Technology. Department of Mechanical Engineering Radtke, Gregg A. Takata, S. Aoki, K. Hadjiconstantinou, Nicolas |
author_sort | Radtke, Gregg A. |
collection | MIT |
description | Author manuscript date January 19, 2012 |
first_indexed | 2024-09-23T16:28:53Z |
format | Article |
id | mit-1721.1/79844 |
institution | Massachusetts Institute of Technology |
language | en_US |
last_indexed | 2024-09-23T16:28:53Z |
publishDate | 2013 |
publisher | Cambridge University Press |
record_format | dspace |
spelling | mit-1721.1/798442022-10-02T08:06:20Z On the second-order temperature jump coefficient of a dilute gas Radtke, Gregg A. Takata, S. Aoki, K. Hadjiconstantinou, Nicolas Massachusetts Institute of Technology. Department of Mechanical Engineering Radtke, Gregg A. Hadjiconstantinou, Nicolas Author manuscript date January 19, 2012 We use LVDSMC (low-variance deviational Monte Carlo) simulations to calculate, under linearized conditions, the second-order temperature jump coefficient for a dilute gas whose temperature is governed by the Poisson equation with a constant forcing term, as in the case of homogeneous volumetric heating. Both the hard-sphere gas and the BGK model of the Boltzmann equation, for which slip/jump coefficients are not functions of temperature, are considered. The temperature jump relation and jump coefficient determined here are closely linked to the general jump relations for time-dependent problems that have yet to be systematically treated in the literature; as a result, they are different from those corresponding to the well-known linear and steady case where the temperature is governed by the homogeneous heat conduction (Laplace) equation. Singapore-MIT Alliance 2013-08-14T12:50:50Z 2013-08-14T12:50:50Z 2012-07 2011-10 Article http://purl.org/eprint/type/JournalArticle 0022-1120 1469-7645 http://hdl.handle.net/1721.1/79844 Radtke, Gregg A., N. G. Hadjiconstantinou, S. Takata, and K. Aoki. “On the second-order temperature jump coefficient of a dilute gas.” Journal of Fluid Mechanics 707 (September 20, 2012): 331-341. https://orcid.org/0000-0002-1670-2264 en_US http://dx.doi.org/10.1017/jfm.2012.282 Journal of Fluid Mechanics Creative Commons Attribution-Noncommercial-Share Alike 3.0 http://creativecommons.org/licenses/by-nc-sa/3.0/ application/pdf Cambridge University Press arXiv |
spellingShingle | Radtke, Gregg A. Takata, S. Aoki, K. Hadjiconstantinou, Nicolas On the second-order temperature jump coefficient of a dilute gas |
title | On the second-order temperature jump coefficient of a dilute gas |
title_full | On the second-order temperature jump coefficient of a dilute gas |
title_fullStr | On the second-order temperature jump coefficient of a dilute gas |
title_full_unstemmed | On the second-order temperature jump coefficient of a dilute gas |
title_short | On the second-order temperature jump coefficient of a dilute gas |
title_sort | on the second order temperature jump coefficient of a dilute gas |
url | http://hdl.handle.net/1721.1/79844 https://orcid.org/0000-0002-1670-2264 |
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