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Steady and oscillatory convection in vertical cylinders heated from below. Numerical simulation of asymmetric flow regimes

Abstract : Three-dimensional buoyancy driven flows in vertical cylinders are simulated with a finite difference technique. Asymmetric convective flows are studied for three values of the (length-to-radius) aspect ratio A. One result concerns the occurrence of asymmetric convection in a flat A=0.485 cylinder for Pr=6.7, near the threshold and up to 3Rac (where Rac is the critical Rayleigh number and Pr is the Prandtl number). Complex (steady and time-dependent) supercritical regimes have been simulated in cylinders of aspect ratios A=2 and A=4 for Pr=0.02 and in ranges of Ra up to 8Rac and 6Rac, respectively. The flow patterns are analysed graphically and discussed with respect to a weakly nonlinear analysis and to experiments. In a particular case, A=4 and Pr=0.02, an oscillatory motion has been obtained and some features of the flow pattern are shown during a period.
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Submitted on : Thursday, June 13, 2013 - 4:59:35 PM
Last modification on : Thursday, January 18, 2018 - 1:39:32 AM

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E. Crespo del Arco, Patrick Bontoux, R. L. Sani, G.P. Extrémet. Steady and oscillatory convection in vertical cylinders heated from below. Numerical simulation of asymmetric flow regimes. Advances in Space Research, Elsevier, 1988, 8 (12), pp.281-292. ⟨10.1016/0273-1177(88)90030-0⟩. ⟨hal-00833917⟩

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