The heat transfer for the upper-convected Maxwell Casson fluid over a stretching/shrinking sheet with thermal radiation is studied. With the help of similarity transformations, the governing equations are converted into nonlinear system of ordinary differential equations. Runge Kutta Fehlberg fourth-fifth order (RKF45) method is employed to obtain the numerical solutions for the skin friction coefficient, heat transfer coefficient, and velocity and temperature. The effects of various parameters such as the Casson parameter, Maxwell parameter, the radiation parameter, the suction parameter and the stretching and shrinking parameter are considered as distributions. Closed form analytic solutions are also obtained. The results obtained under the special cases are illustrated graphically and compared with previous results to support their validity.

Casson fluid, heat transfer, stretching/shrinking sheet, thermal radiation, upper-convected Maxwell fluid.