📗 This book deals with the elementary aspects of flow, heat and mass transfer of boundary layer flow problems related to magneto hydrodynamic non- Newtonian nanofluid flows , with special emphasis on slip flow and melting heat transfer so that the subject is perceived by the post graduate students, researchers and post-doctoral researchers. This text also introduces numerical computational tools for solving differential equation models that arise in fluid flow, heat and mass- transfer of non-Newtonian fluids. 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-45 order method along with Shooting technique.