Finite amplitude axisymmetric convection between rigid rotating planes

摘要

This paper considers the nature of stationary axisymmetric convection in a rotating layer of fluid heated from below. The nonlinear amplitude equation for the case of rigid boundaries is derived, and it is found that for certain ranges of the speed of rotation and Prandtl number subcritical instability is possible. The outer solution is matched with the inner solution (which can be expressed in terms of Bessel functions) and is similar to that described by Brown and Stewartson (1978).