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タイトル: Numerical demonstration of the reciprocity among elemental relaxation and driven-flow problems for a rarefied gas in a channel
著者: Takata, Shigeru  kyouindb  KAKEN_id  orcid https://orcid.org/0000-0001-6787-6777 (unconfirmed)
Oishi, Masashi
キーワード: Boltzmann equation
channel flow
heat transfer
kinetic theory
Knudsen flow
mass transfer
numerical analysis
発行日: Jan-2012
出版者: American Institute of Physics
誌名: PHYSICS OF FLUIDS
巻: 24
号: 1
論文番号: 012003
抄録: Relaxations from a uniform mass/heat flow and flows driven by an external force/temperature-gradient for a rarefied gas between two parallel plates are studied on the basis of the kinetic theory of gases. By numerical computations of the linearized Bhatnagar–Gross–Krook model of the Boltzmann equation, it is demonstrated that the reciprocity among these elemental flows derived from a general reciprocity theory for time-dependent problems [S. Takata, J. Stat. Phys. 140, 985 (2010)] holds at any time and any Knudsen numbers. Moreover, a propagation of the discontinuity of the velocity distribution function (VDF) in the relaxation problems and that of the derivative discontinuity of the VDF in the driven-flow problems are demonstrated. Their relation is also clarified.
著作権等: Copyright 2012 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. The following article appeared in PHYSICS OF FLUIDS 24, 012003 (2012) and may be found at http://link.aip.org/link/?phf/24/012003
URI: http://hdl.handle.net/2433/160672
DOI(出版社版): 10.1063/1.3678308
関連リンク: http://link.aip.org/link/?phf/24/012003
出現コレクション:学術雑誌掲載論文等

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