Logarithmic Bounds for Infinite Prandtl Number Rotating Convection

Peter Constantin
Chris Hallstrom, University of Portland
Vachtang Poutkaradze

Abstract

Convection refers to fluid motion that is induced by buoyancy. In thermal convection buoyancy is due to temperature differences and one of the interesting questions is how much of the total heat transfer is due to convection. The natural measure of this quantity is the Nusselt number, N, and many experiments and numerical simulations have been performed to discern the relationship between N and the various parameters which describe the system. Much of this research has focused on the forcing parameter, although it has been observed that rotation plays a nontrivial role as well.