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タイトル: | Poiseuille and thermal transpiration flows of a highly rarefied gas: over-concentration in the velocity distribution function |
著者: | Takata, Shigeru https://orcid.org/0000-0001-6787-6777 (unconfirmed) Funagane, Hitoshi |
キーワード: | kinetic theory non-continuum effects rarefied gas flow |
発行日: | 16-Feb-2011 |
出版者: | Cambridge University Press |
誌名: | JOURNAL OF FLUID MECHANICS |
巻: | 669 |
開始ページ: | 242 |
終了ページ: | 259 |
抄録: | Poiseuille and thermal transpiration flows of a highly rarefied gas are investigated on the basis of the linearized Boltzmann equation, with a special interest in the over-concentration of molecules on velocities parallel to the walls. An iterative approximation procedure with an explicit error estimate is presented, by which the structure of the over-concentration is clarified. A numerical computation on the basis of the procedure is performed for a hard-sphere molecular gas to construct a database that promptly gives the induced net mass flow for an arbitrary value of large Knudsen numbers. An asymptotic formula of the net mass flow is also presented for molecular models belonging to Grad's hard potential. Finally, the resemblance of the profiles between the heat flow of the Poiseuille flow and the flow velocity of the thermal transpiration is pointed out. The reason is also given. |
著作権等: | © Cambridge University Press 2011 |
URI: | http://hdl.handle.net/2433/163440 |
DOI(出版社版): | 10.1017/s0022112010005021 |
出現コレクション: | 学術雑誌掲載論文等 |
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