This book presents both analytical and numerical study of various boundary layer MHD free convective flow problems. Exact solutions of the governing boundary-layer coupled linear system of partial differential equations are presented by the Laplace transform Technique in detail and the Finite difference numerical method has been used to handle the coupled non-linear system of partial differential equations. The control of the various physical parameters on the velocity field, temperature field, concentration field, skin friction coefficient, Nusselt number and Sherwood number are extensively discussed with the help of graphs and tables. It is hoped that this book will be useful for the researchers who are working on the solution of partial differential equations governing fluid dynamics and heat and mass transfer problems.