Effects of thermal radiation and non-uniform heat source on MHD flow of viscoelastic fluid and heat transfer over a stretching sheet

The present paper deals with the study of momentum and heat transfer characteristics in a visco-elastic fluid flow over an impermeable stretching sheet. Where the flow is generated due to linear stretching of the sheet and influenced by a uniform magnetic field applied vertically in the flow region. Heat balance is maintained with a non-uniform heat source/sink, viscous dissipation and thermal radiation. The partial differential equations governing the flow and heat transfer are converted into ordinary differential equations by suitable similarity transformations. The proposed problem has be en solvcd by the fourth order Runge-Kutta method with shooting technique. The effects of viscous dissipation, a non-uniform heat source/sink and thermal radiation on heat transfer characteristics in two different general cases, namely (1) the prescribed surface temperature (PST) and (2) the prescribed wall heat flux (PHF) are presented graphically and discussed. The calculated values of the wall temperature gradient in the PST case and the wall temperature PHF case are tabulated and discussed.