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A model of micro lubrication between two walls with unequal temperature distribution based on kinetic theory
https://repository.lib.tottori-u.ac.jp/records/2001636
https://repository.lib.tottori-u.ac.jp/records/2001636ea483d8b-1377-4659-8e0e-d3bc9de46fcf
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
pf33_032014.pdf (1.4 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 unequal temperature distribution 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 arbitrary and independent temperature distributions is studied on the basis of the Bhatnagar–Gross–Krook–Welander (BGKW) model of the Boltzmann equation. The BGKW equation is studied analytically using the slowly varying approximation. Following the author's previous study [T. Doi, “A model of micro lubrication between two walls with an arbitrary temperature difference based on kinetic theory,” Phys. Fluids 32, 052005 (2020)], the leading-order approximation, which ought to be the solution of the nonlinear heat transfer problem, is replaced by its free molecular solution. A lubrication model of the Reynolds-type equation is derived in closed form. A direct numerical analysis of the lubrication flow subject to localized heating or cooling of the walls is conducted for an assessment of the lubrication model. The lubrication lift calculated using the model agrees with that of the direct numerical solution within an error of 5% when the Knudsen number based on the gap size lies between 0.1 and 10. The result of the lubrication model agrees also with that of the Boltzmann equation for a variable hard sphere gas. A sharp peak arises in the pressure distribution for large Knudsen numbers owing to the effect of thermal creep flows induced by localized heating. | |||||||||||
| 言語 | en | |||||||||||
| 出版者 | ||||||||||||
| 出版者 | AIP Publishing | |||||||||||
| 言語 | en | |||||||||||
| 日付 | ||||||||||||
| 日付 | 2021-03-17 | |||||||||||
| 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/10.1063/5.0041675 | |||||||||||
| 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 | 33 | |||||||||||
| 開始ページ | ||||||||||||
| 開始ページ | 032014 | |||||||||||
| 書誌情報 |
en : Physics of Fluids 巻 33, p. 032014, 発行日 2021-03-17 |
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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) 2021 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 unequal temperature distribution based on kinetic theory. Physics of Fluids 1 March 2021; 33 (3): 032014. https://doi.org/10.1063/5.0041675 and may be found at https://doi.org/10.1063/5.0041675. | |||||||||||
