Abstract

Energy theory is used to show that infinite Prandtl number rotating Boussinesq convection between two infinite plates cannot be sustained at any Rayleigh number R below the point of linear instability R L ( T). It is known that for large Taylor number T the asymptotic transition curve is R L ∼ c 0T 2 3 , where c 0 = ( 27π 4 4 ) 1 3 for both slippery and sticky boundary conditions.

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