Inverted velocity profile in the cylindrical Couette flow of a rarefied gas

Kazuo Aoki, Hiroaki Yoshida, Toshiyuki Nakanishi, and Alejandro L. Garcia
Phys. Rev. E 68, 016302 – Published 11 July 2003
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Abstract

The cylindrical Couette flow of a rarefied gas is investigated, under the diffuse-specular reflection condition of Maxwell’s type on the cylinders, in the case where the inner cylinder is rotating whereas the outer cylinder is at rest. The inverted velocity profile for small accommodation coefficients, pointed out by Tibbs, Baras, and Garcia [Phys. Rev. E 56, 2282 (1997)] on the basis of a Monte Carlo simulation, is investigated extensively by means of a systematic asymptotic analysis for small Knudsen numbers as well as the direct numerical analysis of the Boltzmann equation, and the parameter range in which the phenomenon appears is clarified.

  • Received 7 February 2003

DOI:https://doi.org/10.1103/PhysRevE.68.016302

©2003 American Physical Society

Authors & Affiliations

Kazuo Aoki*, Hiroaki Yoshida, and Toshiyuki Nakanishi

  • Department of Aeronautics and Astronautics, Graduate School of Engineering, Kyoto University, Kyoto 606-8501, Japan

Alejandro L. Garcia

  • Department of Physics, San José State University, San José, California 95192-0106, USA

  • *Electronic address: aoki@aero.mbox.media.kyoto-u.ac.jp

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Vol. 68, Iss. 1 — July 2003

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