Numerical Simulations of Liquid Metal MHD Flows at Very High Hartmann Number

Magnetohydrodynamics fows are those which involves the interaction between the fow of electrically conducting \ud fuids and electromagnetic felds. Such fows are gov-\ud erned by Navier-Stokes, continuity along with Maxwell's equations, and are commonly encountered in applications of practical interest.\ud In the first part of the thesis validations of ANUPRAVAHA MHD module were\ud carried out with available analytical results. In the second part of the thesis numerical\ud simulations of MHD rectangular duct \ud ow were carried out for various arbitrary wall\ud conductance ratio and Hartmann number using induction-less formulation and results\ud of velocity prole and pressure gradient have presented.\ud In the final part of the thesis fully developed MHD \ud ow solution in a rectangular\ud duct has been investigated to obtain \ud ow prole and pressure gradient at very high\ud Hartmann number(order of 104) using inertia-less formulation. The results of the\ud study compared with solution from numerical simulation of full set of equation and\ud shows good agreement. In this method computation time for simulation was reduced\ud considerably because of the lesser grid point and neglecting the non-linear term in\ud the momentum equation