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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/20016582195d1f0-64f6-4389-8c3a-0fce528c0d86
名前 / ファイル | ライセンス | アクション |
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Item type | デフォルトアイテムタイプ(フル)(1) | |||||||||||
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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
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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 | |||||||||||
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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 |
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アクセス権 | ||||||||||||
アクセス権 | embargoed access | |||||||||||
アクセス権URI | http://purl.org/coar/access_right/c_f1cf | |||||||||||
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. |