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Journal of Porous Media

ISSN for PRINT: 1091-028X

Institutional price:	$713.00
Issues per year:	8

Best Paper Award Selection - Editorial Board Site

2007, Volume10

105 pages

Issue price - $99.00

Instability of Slip Flow in a Channel Occupied by a Hyperporous Medium

A. A. Avramenko
Institute of Engineering Thermophysics, National Academy of Sciences of Ukraine, Kiev, Ukraine

A. V. Kuznetsov
Department of Mechanical and Aerospace Engineering, North Carolina State University, Campus Box 7910, Raleigh, NC 27695-7910, USA

D. A. Nield
Department of Engineering Science, University of Auckland, Private Bag 92019, Auckland, New Zealand

ABSTRACT

Stability of a slip flow in a channel occupied by a hyperporous medium saturated by a rarefied gas is investigated. The evolution equation for analyzing the effect of three-dimensional disturbances on this flow is obtained. Numerical analyses for two-dimensional and three-dimensional disturbances are carried out using the collocation method. The dependence of the critical Reynolds number on porosity and parameter σ (dependent on the Knudsen number) is investigated. Squire's theorem for the case of two-dimensional shear flows in a Navier-Stokes fluid, which states that two-dimensional disturbances are more critical for instability than three-dimensional disturbances, is extended to the case of this flow.