Radiation effect on boundary layer flow of an Eyring-Powell fluid over an exponentially shrinking sheet

The aim of this paper was to examine the steady boundary layer flow of an Eyring-Powell model fluid due to an exponentially shrinking sheet. In addition, the heat transfer process in the presence of thermal radiation is considered. Using usual similarity transformations the governing equations have been transformed into non-linear ordinary differential equations. Homotopy analysis method (HAM) is employed for the series solutions. The convergence of the obtained series solutions is carefully analyzed. Numerical values of the temperature gradient are presented and discussed. It is observed that velocity increases with an increase in mass suction S. In addition, for the temperature profiles opposite behavior is observed for increment in suction. Moreover, the thermal boundary layer thickness decreases due to increase in Prandtl number Pr and thermal radiation R. (C) 2014 Production and hosting by Elsevier B. V. on behalf of Ain Shams University.