LAUSR

In this study, we examined the multiple slips (velocity, temperature and concentration) on the magnetohydrodynamic Casson–Carreau fluid flow over a variable thickness sheet with non-uniform heat source/sink. The transformed governing coupled nonlinear partial differential equations are solved numerically with help of Runge–Kutta and Newton’s method. The effects of various dimensionless parameters on velocity, temperature and concentration fields along with wall friction and rate of heat and mass transfer are presented with the aid of graphical and tabular illustrations. It is found that for minimizing the temperature and concentration transport phenomena Casson fluid is helpful when compared with Carreau fluid. We also found worthy agreement of the present results by comparing with the published results.