This book contains the elementary aspects of flow, heat and mass transfer of boundary layer flow problems related to Oldroyd-B fluid and Casson fluid with suspended nano particles, with special emphasis on slip flow and nonlinear thermal radiation so that the subject is perceived by the post graduate students, researchers and post-doctoral researchers. This text is also introduces numerical computational tools for solving differential equation models that arises in fluid flow, heat and mass transfer of non-Newtonian fluids. Suitable similarity transformations are applied to the governing partial differential equations to obtain coupled nonlinear ordinary differential equations. The reduced equations are solved numerically by using Runge-Kutta-Fehlberg fourth-fifth order method with Shooting technique.