Article Dans Une Revue Physics of Fluids Année : 2007

Stability of stratified natural convection in a tall vertical annular cavity

Résumé

The stability of buoyancy-driven convection between vertical concentric cylinders is examinedunder vertical thermal stratification conditions, with a uniform temperature gap between thecylinders. Analytical solutions are derived for the parallel base flow. Critical Rayleigh numbers aredetermined from these solutions at various Prandtl numbers, stratification levels, and inner to outerradius ratios. Nonaxisymmetric critical disturbances can be found for low radius ratios and smallPrandtl numbers, but are otherwise symmetric and usually occur in the form of travelling wavesopposite to gravity, except at large Prandtl numbers and for strong stratification where the directionof propagation is reversed. The effect of curvature is to favor the onset of instability at anystratification level, for moderate and large Prandtl numbers. For small Prandtl numbers, curvaturehas a stabilizing effect at low stratification levels and is most influential at moderate levels.Computation of the Landau coefficient reveals that the bifurcations are at times subcritical,depending on the parameter values.

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Dates et versions

hal-01628608 , version 1 (03-11-2017)

Identifiants

Citer

M Prud'Homme, Patrick Le Quéré. Stability of stratified natural convection in a tall vertical annular cavity. Physics of Fluids, 2007, 19, pp.094106_1-094106_12. ⟨10.1063/1.2771260⟩. ⟨hal-01628608⟩
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