Nonaxisymmetric unsteady motion over a rotating disk in the presence of free convection and magnetic field (Q1308909)

It has been found that if the angular velocity of the disk and the applied magnetic field squared vary inversely as a linear function of time, the governing Navier-Stokes equations and the energy equation admit a locally self-similar solution. The resulting set of ordinary differential equations has been solved using a shooting method with a generalized Newton's procedure for guessed boundary conditions. It is observed that in a certain region near the disk the buoyancy-induced cross-flow dominates the primary von Kármán flow.