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Kinetic theory analysis of microscale lubrication of a gas between eccentric circular cylinders with an arbitrary temperature difference

https://repository.lib.tottori-u.ac.jp/records/2001658
https://repository.lib.tottori-u.ac.jp/records/2001658
2195d1f0-64f6-4389-8c3a-0fce528c0d86
名前 / ファイル ライセンス アクション
pf36_042016.pdf pf36_042016.pdf (1.3 MB)
Item type デフォルトアイテムタイプ(フル)(1)
公開日 2025-01-22
タイトル
タイトル Kinetic theory analysis of microscale lubrication of a gas between eccentric circular cylinders with an arbitrary temperature difference
言語 en
作成者 土井,俊行

× 土井,俊行

WEKO 04864
研究者総覧鳥取大学 100000537
e-Rad_Researcher 00227688

ja 土井,俊行
kakenhi 鳥取大学 15101

en Doi,Toshiyuki
Tottori University

ja-Kana ドイ,トシユキ

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内容記述
内容記述タイプ Other
内容記述 A microscale lubrication flow of a gas between eccentric circular cylinders with an arbitrary temperature difference is studied on the basis of kinetic theory. The dimensionless curvature, defined as the mean clearance divided by the radius of the inner cylinder, is small, whereas the temperature ratio and the Knudsen number based on the mean clearance take arbitrary values. The Bhatnagar–Gross–Krook–Welander (BGKW) model of the Boltzmann equation in bipolar coordinates is studied analytically using the slowly varying approximation. The leading-order term of the perturbation, which ought to be the solution of the nonlinear heat transfer problem, is replaced by the free molecular solution or an equilibrium solution at rest. Two macroscopic lubrication models are derived, along with a numerical database that enables one to use the models quickly. Direct numerical analysis of the BGKW equation is also conducted, and the validity of the lubrication models is assessed. The heating of either cylinder enhances both the eccentric force and the torque acting on the inner cylinder. When the Knudsen number is small, there is little difference in the eccentric force between the cases in which the rotating inner cylinder is heated and the stationary outer cylinder is heated. However, this difference becomes significant as the Knudsen number increases, with heating of the outer cylinder yielding the greater eccentric force. If the two lubrication models are applied complementarily depending on the Knudsen number, they provide a reasonable result for the eccentric force over a wide range of the Knudsen number.
言語 en
出版者
出版者 AIP Publishing
言語 en
日付
日付 2024-04-19
日付タイプ Issued
言語
言語 eng
資源タイプ
資源タイプ識別子 http://purl.org/coar/resource_type/c_6501
資源タイプ journal article
出版タイプ
出版タイプ VoR
出版タイプResource http://purl.org/coar/version/c_970fb48d4fbd8a85
関連情報
関連タイプ isIdenticalTo
識別子タイプ DOI
関連識別子 https://doi.org/10.1063/5.0203134
収録物識別子
収録物識別子タイプ EISSN
収録物識別子 10897666
収録物識別子
収録物識別子タイプ PISSN
収録物識別子 10706631
収録物名
収録物名 Physics of Fluids
言語 en
巻
巻 36
号
号 4
開始ページ
開始ページ 042016
書誌情報 en : Physics of Fluids

巻 36, 号 4, p. 042016, 発行日 2024-04-19
アクセス権
アクセス権 open access
アクセス権URI http://purl.org/coar/access_right/c_abf2
権利情報
言語 en
権利情報 (C) 2024 Author(s). This article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing. This article appeared in Toshiyuki Doi; Kinetic theory analysis of microscale lubrication of a gas between eccentric circular cylinders with an arbitrary temperature difference. Physics of Fluids 1 April 2024; 36 (4): 042016. https://doi.org/10.1063/5.0203134 and may be found at https://doi.org/10.1063/5.0203134.
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