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Codimension 2 points in the flow inside a cylindrical annulus with a radialtemperature gradient

Published online by Cambridge University Press:  15 March 2000

A. Bahloul ,
I. Mutabazi  and
A. Ambari
A. Bahloul
Affiliation:
Laboratoire de Mécanique, Université du Havre, B.P. 540, 76058 Le Havre Cedex, France
I. Mutabazi*
Affiliation:
Laboratoire de Mécanique, Université du Havre, B.P. 540, 76058 Le Havre Cedex, France
A. Ambari
Affiliation:
Laboratoire d'Hydrodynamique et d'Énergétique, Ecole Hassania des Travaux Publics, route d'El Jadida, B.P. 8108, Casablanca 02, Morocco
*
[email protected]
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Abstract

The linear stability analysis of a Newtonian fluid between two coaxial vertical cylinders with a radial temperature gradient shows the existence of thermal and hydrodynamic axisymmetric oscillatory modes. The critical parameters depend on the nature of the fluid and on the radius ratio of the cylinders. The two modes have the same threshold on a line of the codimension 2 points in a plane spanned by the radius ratio and Prandtl number.

Keywords

Type
Research Article
Information
The European Physical Journal - Applied Physics , Volume 9 , Issue 3 , March 2000 , pp. 253 - 264
Copyright
© EDP Sciences, 2000

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