This study is dedicated to figure out the flow, thermal and concentration boundary layer nature of Casson and Carreau fluids over an exponential stretching surface with zero normal flux of nanoparticles having magnetic behavior. Moreover, consideration of nanoparticles which are passively control at the surface is physically more realistic condition (Buongiorno model). Adequate similarity transforms are invoked to put the flow governing equations in dimensionless form. Then after, the transformed equations are solved by means of an effective Runge-Kutta based shooting method. The influence of the selected flow managing parameters on the usual profiles viz. velocity, thermal and concentration are inspected comprehensively with the aid of plots. Numerical treatment for friction factor and reduced Nusselt number is presented in tabular form. It is noticed that Carreau fluid is highly affected by the Lorentz force when equated with the Casson fluid. © 2017 Faculty of Engineering, Alexandria University