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070690328.pdf | 722.36 kB | Adobe PDF | 見る/開く |
タイトル: | A Diffusion Model for Rarefied Flows in Curved Channels |
著者: | Aoki, K. ![]() Degond, P. Mieussens, L. Takata, S. ![]() ![]() ![]() Yoshida, H. |
キーワード: | Boltzmann equation rarefied gas flows diffusion approximation convection-diffusion model Knudsen compressor thermal creep flow |
発行日: | Feb-2008 |
出版者: | Society for Industrial and Applied Mathematics |
誌名: | Multiscale Modeling & Simulation |
巻: | 6 |
号: | 4 |
開始ページ: | 1281 |
終了ページ: | 1316 |
抄録: | In this paper, we derive a one-dimensional convection-diffusion model for a rarefied gas flow in a two-dimensional curved channel on the basis of the Boltzmann (Bhatnagar–Gross–Krook) model. The flow is driven by the temperature gradient along the channel walls, which is known as the thermal creep phenomenon. This device can be used as a micropumping system without any moving part. Our derivation is based on the asymptotic technique of the diffusion approximation. It gives a macroscopic (fluid) approximation of the microscopic (kinetic) equation. We also derive the connection conditions at the junction where the curvature is not continuous. The pumping device is simulated by using a numerical approximation of our convection-diffusion model which turns out to agree very well with full two-dimensional kinetic simulations. It is then used to obtain very fast computations on long pumping devices, while the computational cost of full kinetic computations nowadays is still prohibitive for such cases. |
著作権等: | Copyright © 2008 Society for Industrial and Applied Mathematics |
URI: | http://hdl.handle.net/2433/85229 |
DOI(出版社版): | 10.1137/070690328 |
出現コレクション: | 学術雑誌掲載論文等 |
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