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Title: | A rarefied gas flow around a rotating sphere: diverging profiles of gradients of macroscopic quantities |
Authors: | TAGUCHI, Satoshi ![]() ![]() ![]() SAITO, Kazuyuki TAKATA, Shigeru ![]() ![]() ![]() |
Author's alias: | 田口, 智清 髙田, 滋 |
Issue Date: | 10-Mar-2019 |
Publisher: | Cambridge University Press (CUP) |
Journal title: | Journal of Fluid Mechanics |
Volume: | 862 |
Start page: | 5 |
End page: | 33 |
Abstract: | The steady behaviour of a rarefied gas around a rotating sphere is studied numerically on the basis of the linearised ellipsoidal statistical model of the Boltzmann equation, also known as the ES model, and the Maxwell diffuse–specular boundary condition. It is demonstrated numerically that the normal derivative of the circumferential component of the flow velocity and that of the heat flux diverge on the boundary with a rate s⁻¹/² , where s is the normal distance from the boundary. Further, it is demonstrated that the diverging term is proportional to the magnitude of the jump discontinuity of the velocity distribution function on the boundary, which originates from the mismatch of the incoming and outgoing data on the boundary. The moment of force exerted on the sphere is also obtained for a wide range of the Knudsen number and for various values of the accommodation coefficient. |
Rights: | This article has been published in a revised form in Journal of Fluid Mechanics http://doi.org/10.1017/jfm.2018.946. This version is free to view and download for private research and study only. Not for re-distribution or re-use. © copyright holder. この論文は出版社版でありません。引用の際には出版社版をご確認ご利用ください。 This is not the published version. Please cite only the published version. |
URI: | http://hdl.handle.net/2433/253695 |
DOI(Published Version): | 10.1017/jfm.2018.946 |
Appears in Collections: | Journal Articles |

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