(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 NCR1/3(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.