Steady boundary-layer solutions for a swirling stratified fluid in a rotating cone

摘要

A set of nonlinear boundary-layer equations derived for the swirling flow of a linearly stratified fluid in a conical container is considered. A broad description of the steady states is presented with emphasis on boundaries in parameter space beyond which steady states cannot be continued. As a natural extension, the possibility of solution branches corresponding to non-axisymmetric boundary-layer states appearing as bifurcations of the axisymmetric solutions is detailed.