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ISSN Online: 2377-424X

ISBN Print: 1-56032-797-9

International Heat Transfer Conference 11
August, 23-28, 1998, Kyongju, Korea

CONVECTIVE STABILITY OF MIXED FLOW BETWEEN PERMEABLE CYLINDERS WITH INTERNAL HEAT GENERATION

Get access (open in a dialog) DOI: 10.1615/IHTC11.3150
pages 263-268

Resumo

Convective stability of a fluid motion between two concentric cylinders in the presence of an inward or outward radial flow through the permeable walls of the cylinders is studied in this paper. The convective flow is caused by internal heat sources uniformly distributed throughout the fluid. The cylinder walls are maintained at equal and constant temperature. A linear stability analysis of the flow is carried out. Stability diagrams are constructed for the case of radius ratio R= 0.7 and Prandtl numbers Pr =1 and i>Pr =10 for values of the radial Reynolds number α in the interval −10 ≤ α≤10. It is found that the flow is unstable with respect to axisymmetric perturbations for sufficiently small |α|. As |α|grows, non-axisymmetric long wave perturbations with azimuthal wave numbers n = 4, 5 and 6 are the most unstable ones. It is shown that, depending on the values of the parameters of the problem, there exist regions of stabilization and destabilization of the convective flow by inward or outward radial flow.