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On the boundary layer arising in the spin-up of a stratified fluid in a container with sloping walls
1997
Journal of Fluid Mechanics
In this paper we consider the boundary layer that forms on the sloping walls of a rotating container (notably a conical container), filled with a stratified fluid, when flow conditions are changed abruptly from some initial (uniform) state. The structure of the solution valid away from the cone apex is derived, and it is shown that a similarity-type solution is appropriate. This system, which is inherently nonlinear in nature, is solved numerically for several flow regimes, and the results
doi:10.1017/s0022112096004715
fatcat:yq7t72lf2fbtha6btxavonaqwm