Abstract
We prove an inequality of the type N≤CR 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.
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Constantin, P., Doering, C.R. Infinite Prandtl Number Convection. Journal of Statistical Physics 94, 159–172 (1999). https://doi.org/10.1023/A:1004511312885
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DOI: https://doi.org/10.1023/A:1004511312885