Numerical analysis of oscillatory Couette flow of a rarefied gas on the basis of the linearized Boltzmann equation for a hard sphere molecular gas |
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Authors: | Toshiyuki Doi |
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Institution: | (1) Computer Mechanics Laboratory, Department of Mechanical Engineering, University of California, 5146 Etcheverry Hall, Berkeley, CA 94720, USA |
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Abstract: | The time-dependent motion of a rarefied gas between two parallel planes caused by an oscillatory motion of the plane is studied
based on the linearized Boltzmann equation for a hard sphere molecular gas. With the aid of a deterministic numerical method,
an accurate numerical analysis is carried out for a wide range of gas rarfaction and oscillatory frequency. The detailed data
of the shear stress acting on the planes is provided in a complete form for a wide range of the parameters. The transition
of the solution from low to high frequencies under various degrees of gas rarfaction is discussed. |
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Keywords: | |
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