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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。 https://repository.kulib.kyoto-u.ac.jp:443/dspace 2024-05-30T00:10:12Z 2024-05-30T00:10:12Z Hattori, Masanari http://hdl.handle.net/2433/287731 2024-05-29T09:01:36Z 2024-05-01T00:00:00Z 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. 2024-05-01T00:00:00Z 京都大学広報委員会広報誌企画専門部会 http://hdl.handle.net/2433/287728 2024-05-29T09:03:02Z 2024-03-18T00:00:00Z 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 2024-03-18T00:00:00Z http://hdl.handle.net/2433/287727 2024-05-28T09:01:53Z 2023-01-01T00:00:00Z タイトル: Index 記述: This Annual Report covers from 1 January to 31 December 2023 2023-01-01T00:00:00Z http://hdl.handle.net/2433/287726 2024-05-28T09:01:53Z 2023-01-01T00:00:00Z タイトル: Meetings and Symposia 記述: This Annual Report covers from 1 January to 31 December 2023 2023-01-01T00:00:00Z