A bound on the vertical transport of heat in the ultimate state of slippery convection at large Prandtl numbers
نویسندگان
چکیده
A new upper bound on the rate of vertical heat transport is established in 3 dimensions for stress-free velocity boundary conditions on horizontally periodic plates. For large (but finite) Prandtl numbers this bound is an improvement over the ‘ultimate’ Ra scaling and in the limit of infinite Pr, agrees with the bound of Ra recently derived in that limit. keywords: Rayleigh-Bénard convection, Boussinesq equations, Nusselt number, Prandtl number, Rayleigh number, Grashof number, free-slip, background temperature profile
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