This book deals with the various aspects of flow, heat and mass transfer of boundary layer flow problems related to magneto hydrodynamic non- Newtonian flows , with special emphasis on dusty flow and heat transfer so that the subject is perceived by the post graduate students, researchers and post-doctoral researchers.. This study is essentially numerical in character. By applying the similarity transformations, the system of non-linear partial differential equations are reduced into a set of non-linear ordinary differential equations. Obtained equations are then solved numerically using Runge-Kutta-Fehlberg-4th order method, along with Shooting technique.