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Generalized Reynolds equation for microscale lubrication between eccentric circular cylinders based on kinetic theory
https://repository.lib.tottori-u.ac.jp/records/2001637
https://repository.lib.tottori-u.ac.jp/records/2001637e527cc99-50d9-4bff-8787-df786913211a
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
jfm974_a13.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) | |||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 公開日 | 2025-01-22 | |||||||||||
| タイトル | ||||||||||||
| タイトル | Generalized Reynolds equation for microscale lubrication between eccentric circular cylinders based on kinetic theory | |||||||||||
| 言語 | en | |||||||||||
| 作成者 |
土井,俊行
× 土井,俊行
WEKO
04864
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| 主題 | ||||||||||||
| 言語 | en | |||||||||||
| 主題Scheme | Other | |||||||||||
| 主題 | non-continuum effects | |||||||||||
| 主題 | ||||||||||||
| 言語 | en | |||||||||||
| 主題Scheme | Other | |||||||||||
| 主題 | microfluidics | |||||||||||
| 主題 | ||||||||||||
| 言語 | en | |||||||||||
| 主題Scheme | Other | |||||||||||
| 主題 | kinetic theory | |||||||||||
| 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 is studied on the basis of kinetic theory. The dimensionless curvature, defined by the mean clearance divided by the radius of the inner cylinder, is small, and the rotation speed of the inner cylinder is also small. The Knudsen number, defined by the mean free path divided by the mean clearance, is arbitrary. The Boltzmann equation is studied analytically using the slowly varying approximation following the method proposed in the author's previous study (Doi, Phys. Rev. Fluids, vol. 7, 2022, 034201). A macroscopic lubrication equation, which is a microscale generalization of the Reynolds lubrication equation, is derived. To assess this, a direct numerical analysis of the Boltzmann equation in a bipolar coordinate system is conducted using the Bhatnagar–Gross–Krook–Welander kinetic equation. It is demonstrated that the solution of the derived lubrication equation approximates that of the Boltzmann equation over a wide range of the eccentricity and the whole range of the Knudsen number. It is also demonstrated that another lubrication equation derived by a formal application of the slowly varying approximation produces a non-negligible error of the order of the square root of the dimensionless curvature for large Knudsen numbers. | |||||||||||
| 言語 | en | |||||||||||
| 出版者 | ||||||||||||
| 出版者 | Cambridge University Press (CUP) | |||||||||||
| 言語 | en | |||||||||||
| 日付 | ||||||||||||
| 日付 | 2023-10-27 | |||||||||||
| 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/10.1017/jfm.2023.732 | |||||||||||
| 収録物識別子 | ||||||||||||
| 収録物識別子タイプ | EISSN | |||||||||||
| 収録物識別子 | 14697645 | |||||||||||
| 収録物識別子 | ||||||||||||
| 収録物識別子タイプ | PISSN | |||||||||||
| 収録物識別子 | 00221120 | |||||||||||
| 収録物名 | ||||||||||||
| 収録物名 | Journal of Fluid Mechanics | |||||||||||
| 言語 | en | |||||||||||
| 巻 | ||||||||||||
| 巻 | 974 | |||||||||||
| 開始ページ | ||||||||||||
| 開始ページ | A13 | |||||||||||
| 書誌情報 |
en : Journal of Fluid Mechanics 巻 974, p. A13, 発行日 2023-10-27 |
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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) The Author(s), 2023. Published by Cambridge University Press. This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (http://creativecommons.org/licenses/by/4.0), which permits unrestricted re-use, distribution and reproduction, provided the original article is properly cited. | |||||||||||
