Stability of inviscid flow in a flexible tube

Kumaran, V (1996) Stability of inviscid flow in a flexible tube. In: Journal of Fluid Mechanics, 320 . pp. 1-17.

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Abstract

The equivalents of the classical theorems of hydrodynamic stability are derived for inviscid flow through a flexible tube. Both axisymmetric and non-axisymmetric perturbations in flows in cylindrical geometries are analyzed. For the practically important case of Hagen-Poiseuille flow, the present analysis indicates that axisymmetric perturbations are always stable, while highly non-axisymmetric perturbations could be unstable. This is in contrast to plane parallel flows where two-dimensional disturbances are always more unstable than three-dimensional ones.

Item Type:	Journal Article
Publication:	Journal of Fluid Mechanics
Publisher:	Cambridge University Press
Additional Information:	Copyright of this article belongs to Cambridge University Press.
Keywords:	flow instability;laminar flow;pipe flow;Poiseuille flow
Department/Centre:	Division of Mechanical Sciences > Chemical Engineering
Date Deposited:	17 Sep 2007
Last Modified:	10 Jan 2012 10:01
URI:	http://eprints.iisc.ac.in/id/eprint/10896

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