Nonlinear convection in a rotating fluid

Abstract
The paper studies convection in a horizontal layer of fluid rotating about a vertical axis. The flows at large Rayleigh number R, with a single horizontal wave-number, are investigated using the mean-field approximation of Herring (1963). The flow that maximizes the heat flux is the same as that which gives an upper bound to the heat flux in the limit of infinite Prandtl number as calculated by the methods of Howard (1963) and Chan (1971, 1974).Rotation is not significant until the Taylor number Ta exceeds O(R). For and the layer becomes stable.

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