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https://repository.kulib.kyoto-u.ac.jp:443/dspace DSpaceはデジタル研究資料を収集・格納・索引・保存・配布するシステムです。 Thu, 30 May 2024 00:10:12 GMT 2024-05-30T00:10:12Z http://hdl.handle.net/2433/287731 タイトル: Numerical analysis of a gas flow in a square cavity driven by spanwise lid motion on the basis of kinetic theory: Behavior of the gas near a sharp corner 著者: Hattori, Masanari 抄録: A gas flow in a square cavity driven by a lid sliding in the direction of its line of contact with the cavity wall is considered. The steady behavior of the gas is numerically investigated based on the linearized Bhatnagar–Gross–Krook kinetic equation and the diffuse reflection boundary condition. When one applies the Stokes equation and the no-slip boundary condition to the system considered here, the flow velocity becomes multivalued at the corner between the lid and the cavity wall, and the shear stress diverges at the corner inversely proportionally to the distance from there, which is known as the so-called corner singularity. In the present work, the behavior of the gas near the corner is examined based on numerical results obtained from the kinetic theory. Although the range of the flow velocity value in the kinetic solution is limited due to the significant velocity slip near the corner, the flow velocity is, nevertheless, multivalued at the corner. The shear stress varies inversely proportionally to the distance from the corner up to the position that is a few tens of mean free paths away from there. The increase in the stress is suppressed at positions closer to the corner and its magnitude remains bounded. Thus, the total forces acting on the lid and the side cavity walls are bounded as well. Due to the distinctive behavior of the stress near the corner, the resulting nondimensional total forces behave with an unconventional rate 𝐊𝐧𝐥𝐧𝐊𝐧 for small Knudsen numbers 𝐊𝐧. Wed, 01 May 2024 00:00:00 GMT http://hdl.handle.net/2433/287731 2024-05-01T00:00:00Z http://hdl.handle.net/2433/287728 タイトル: 紅萠(くれなゐもゆる) 45号 著者: 京都大学広報委員会広報誌企画専門部会 Mon, 18 Mar 2024 00:00:00 GMT http://hdl.handle.net/2433/287728 2024-03-18T00:00:00Z http://hdl.handle.net/2433/287727 タイトル: Index 記述: This Annual Report covers from 1 January to 31 December 2023 Sun, 01 Jan 2023 00:00:00 GMT http://hdl.handle.net/2433/287727 2023-01-01T00:00:00Z http://hdl.handle.net/2433/287726 タイトル: Meetings and Symposia 記述: This Annual Report covers from 1 January to 31 December 2023 Sun, 01 Jan 2023 00:00:00 GMT http://hdl.handle.net/2433/287726 2023-01-01T00:00:00Z

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