| Plane Poiseuille flow of a rarefied gas in the presence of strong gravitation. | |
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MedLine Citation:
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PMID: 21405910 Owner: NLM Status: In-Data-Review |
Abstract/OtherAbstract:
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Plane Poiseuille flow of a rarefied gas, which flows horizontally in the presence of strong gravitation, is studied based on the Boltzmann equation. Applying the asymptotic analysis for a small variation in the flow direction [Y. Sone, Molecular Gas Dynamics (Birkhäuser, 2007)], the two-dimensional problem is reduced to a one-dimensional problem, as in the case of a Poiseuille flow in the absence of gravitation, and the solution is obtained in a semianalytical form. The reduced one-dimensional problem is solved numerically for a hard sphere molecular gas over a wide range of the gas-rarefaction degree and the gravitational strength. The presence of gravitation reduces the mass flow rate, and the effect of gravitation is significant for large Knudsen numbers. To verify the validity of the asymptotic solution, a two-dimensional problem of a flow through a long channel is directly solved numerically, and the validity of the asymptotic solution is confirmed. |
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Authors:
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Toshiyuki Doi |
Publication Detail:
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Type: Journal Article Date: 2011-02-28 |
Journal Detail:
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Title: Physical review. E, Statistical, nonlinear, and soft matter physics Volume: 83 ISSN: 1550-2376 ISO Abbreviation: Phys Rev E Stat Nonlin Soft Matter Phys Publication Date: 2011 Feb |
Date Detail:
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Created Date: 2011-03-16 Completed Date: - Revised Date: - |
Medline Journal Info:
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Nlm Unique ID: 101136452 Medline TA: Phys Rev E Stat Nonlin Soft Matter Phys Country: United States |
Other Details:
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Languages: eng Pagination: 026311 Citation Subset: IM |
Affiliation:
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Department of Applied Mathematics and Physics, Graduate School of Engineering, Tottori University, Tottori 680-8552, Japan. |
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From MEDLINE®/PubMed®, a database of the U.S. National Library of Medicine
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