Layered von Kármán's swirling flow
The author examines the Navier-Stokes equations describing a swirling flow consisting of two fluid layers. It is assumed that the fluid is injected into the swirl in the bottom layer from a rotating disk when the disk melts in ambient fluid and the melted fluid is removed by centrifugal forces. By using similarity transformation, the problem is reduced to a boundary value problem for a system of two ordinary differential equations. The existence of the solution is proved by shooting method.
scientific article; zbMATH DE number 2085907
scientific article