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

¹ Laboratoire de Mécanique, Université du Havre, B.P. 540, 76058 Le Havre Cedex, France
² Laboratoire d'Hydrodynamique et d'Énergétique, Ecole Hassania des Travaux Publics, route d'El Jadida, B.P. 8108, Casablanca 02, Morocco

Corresponding author: mutabazi@univ-lehavre.fr

Received: 17 July 1999
Revised: 14 January 2000
Accepted: 14 January 2000
Published online: 15 March 2000

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.