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Infinite Prandtl Number Convection
Authors:Peter Constantin  Charles R Doering
Institution:(1) Department of Mathematics, University of Chicago, Chicago, Illinois, 60637;(2) Department of Mathematics, University of Michigan, Ann Arbor, Michigan, 48109
Abstract:We prove an inequality of the type NleCR 1/3(1+log+ R)2/3 for the Nusselt number N in terms of the Rayleigh number R for the equations describing three-dimensional Rayleigh–Bénard convection in the limit of infinite Prandtl number.
Keywords:Nusselt number  convection  heat transport  turbulence
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