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A model of micro lubrication between two walls with an arbitrary temperature difference based on kinetic theory
https://repository.lib.tottori-u.ac.jp/records/2001638
https://repository.lib.tottori-u.ac.jp/records/200163828d7b6a1-99bd-464d-80d9-4621e9c9212a
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
pf32_052005.pdf (1.6 MB)
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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 | A model of micro lubrication between two walls with an arbitrary temperature difference based on kinetic theory | |||||||||||
| 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 | Micro lubrication of a gas between two walls with an arbitrary temperature difference is studied on the basis of the Bhatnagar–Gross–Krook–Welander model of the Boltzmann equation. Applying the slowly varying approximation, the kinetic equation is studied analytically when the Knudsen number based on the gap size is large. The leading order approximation, which ought to be the solution of the nonlinear heat transfer problem, is replaced by its free molecular solution. Due to this crude approximation, a macroscopic lubrication model of Reynolds-type equation is derived in a closed form. For an assessment of the model, a direct numerical analysis of the kinetic equation is also conducted. The lift calculated using our model approximates that of the direct numerical analysis within the error of 4% uniformly in the range of the temperature ratio between 0.75 and 2 and the Knudsen number Kn between 0.1 and 10. A heating of the moving wall reduces the lift acting on the other wall when Kn is sufficiently large, whereas it is enhanced when Kn is sufficiently small. | |||||||||||
| 言語 | en | |||||||||||
| 出版者 | ||||||||||||
| 出版者 | AIP Publishing | |||||||||||
| 言語 | en | |||||||||||
| 日付 | ||||||||||||
| 日付 | 2020-05-11 | |||||||||||
| 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/10.1063/5.0004994 | |||||||||||
| 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 | 32 | |||||||||||
| 開始ページ | ||||||||||||
| 開始ページ | 052005 | |||||||||||
| 書誌情報 |
en : Physics of Fluids 巻 32, p. 052005, 発行日 2020-05-11 |
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| 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) 2020 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; A model of micro lubrication between two walls with an arbitrary temperature difference based on kinetic theory. Physics of Fluids 1 May 2020; 32 (5): 052005. https://doi.org/10.1063/5.0004994 and may be found at https://doi.org/10.1063/5.0004994. | |||||||||||
