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Licensed Unlicensed Requires Authentication Published by De Gruyter April 5, 2013

Linear stability analysis of Poiseuille flow in a rectangular duct

K. V. Demyanko and Yu. M. Nechepurenko

Abstract

A laminar flow of a viscous incompressible fluid with a constant pressure gradient (Poiseuille flow) is considered in a rectangular duct for different values of cross-sectional aspect ratio. A new method, significantly more efficient than the known ones, is proposed and justified for computing the critical Reynolds number of such a flow. The dependence of the critical Reynolds number on the cross-sectional aspect ratio is numerically studied. A theoretical justification of the obtained dependence is proposed

Published Online: 2013-04-05
Published in Print: 2013-04

© 2013 by Walter de Gruyter GmbH & Co.

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