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Effect of a small curvature of the surfaces on microscale lubrication of a gas for large Knudsen numbers
https://repository.lib.tottori-u.ac.jp/records/2001634
https://repository.lib.tottori-u.ac.jp/records/20016349fa7a06c-537a-4fe9-aa8a-a137aa3d7acc
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
prf7_034201.pdf (662.0 KB)
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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 | Effect of a small curvature of the surfaces on microscale lubrication of a gas for large Knudsen numbers | |||||||||||
| 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 | Lubrication flow of a gas in a microscale gap between coaxial circular cylinders is studied on the basis of kinetic theory. The stationary inner cylinder is a Maxwell-type boundary with a nonuniform accommodation coefficient in the circumferential direction, and the outer cylinder is a diffuse reflection boundary rotating at a constant speed. The dimensionless curvature, defined as the gap size divided by the radius of the inner cylinder, is small, and the Knudsen number based on the gap size is arbitrary. The Boltzmann equation is studied analytically using the slowly varying approximation, with special attention being paid to the characteristics of the equation. Two macroscopic lubrication models of the Reynolds-type equations are derived: one consisting of the solutions for plane Couette and Poiseuille flows (plane lubrication model), and the other consisting of cylindrical Couette flow and a curved Poiseuille flow (improved lubrication model). For an assessment of the models, a direct numerical analysis of the flow is also conducted for the Bhatnagar-Gross-Krook-Welander kinetic equation using a hybrid finite-difference method. It is demonstrated that the use of the plane lubrication model leads to a non-negligible error when the Knudsen number is sufficiently large. This error is caused by neglect of the fact that the number of molecules arriving from the outer cylinder is greater than that from the inner one by an amount proportional to the square root of the dimensionless curvature. It is also demonstrated that the improved lubrication model provides an excellent approximation to the direct numerical solution over the whole range of the Knudsen number. | |||||||||||
| 言語 | en | |||||||||||
| 出版者 | ||||||||||||
| 出版者 | American Physical Society (APS) | |||||||||||
| 言語 | en | |||||||||||
| 日付 | ||||||||||||
| 日付 | 2022-03-07 | |||||||||||
| 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/10.1103/PhysRevFluids.7.034201 | |||||||||||
| 収録物識別子 | ||||||||||||
| 収録物識別子タイプ | PISSN | |||||||||||
| 収録物識別子 | 24699918 | |||||||||||
| 収録物識別子 | ||||||||||||
| 収録物識別子タイプ | EISSN | |||||||||||
| 収録物識別子 | 2469990X | |||||||||||
| 収録物名 | ||||||||||||
| 収録物名 | Physical Review Fluids | |||||||||||
| 言語 | en | |||||||||||
| 巻 | ||||||||||||
| 巻 | 7 | |||||||||||
| 開始ページ | ||||||||||||
| 開始ページ | 034201 | |||||||||||
| 書誌情報 |
en : Physical Review Fluids 巻 7, p. 034201, 発行日 2022-03-07 |
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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) 2022 American Physical Society. Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal "citation, and DOI. | |||||||||||
