Document Type

Article

Publication Date

1-1-2003

Publication Title

Physical Review E 68

Volume

68

First Page

1

Last Page

11

DOI

10.1103/PhysRevE.68.016302

Keywords

inverted velocity, couette, flow, gas

Disciplines

Other Astrophysics and Astronomy | Other Physics

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.

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