Time dependent two phase flows in Magnetohydrodynamics: A Greens function approach

The present article presents a mathematical model to study the time dependent two phase magneto-hydrodynamic (MHD) flow in a parallel plat channel having one phase occupied by electrically conducting fluid and the other phase by non-conducting fluid. Both the phases were incompressible and the flow is assumed to be time dependent. The two regions are coupled by equating the velocity and shear stress at the interface. Using the Green\'s function approach, expressions for velocity in both phases were obtained for general class of time dependent movement of boundary or sudden change in pressure gradient or both. As a special case, expressions for time dependent velocity fields in both phases were obtained due to sudden change in the pressure gradient. JONAMP Vol. 11 2007: pp. 295-300