The book deals with the basic concepts of flow and heat transfer of two phase flow problems related to convectional heat transfer, dusty fluid with physical conditions so that the subject is perceived by the researchers and post-doctoral researchers. In this book we introduces numerical computational tools for solving highly non-linear differential equation models that arise in fluid flow, heat and transfer of both Newtonian/non-Newtonian fluids. The governing equations are transformed into a set of self similar non-linear ordinary differential equations by means of suitable similarity transformations which are then solved numerically by using fourth-fifth order Runge-Kutta-Fehlberg method.