MHD (magneto-hydrodynamic) flow and radiative nonlinear heat transfer of a viscoelastic fluid over a stretching sheet with heat generation/absorption

The steady, laminar boundary layer flow and heat transfer with radiation effects using the nonlinear Rosseland approximation induced in a quiescent, electrically conducting, visco-elastic fluid by a permeable surface stretched with velocity uw(x) = ax + cx2 in the presence of a transverse magnetic field with heat source/sink are investigated. The problem only admits local-similarity results for a nonlinear stretched boundary surface with constant temperature (i.e., T = Twaty = 0 (Tw constant)). Two classes of visco-elastic fluid are considered, namely, the second-grade and Walters' liquid B fluids. A previously developed analytical solution for this flow, first used in Ref. [49], has been extended to analyze radiative nonlinear heat transfer. The effects of a transverse magnetic field, visco-elasticity, internal heat generation/absorption, suction/injection at the sheet, Prandtl number, power-law sheet velocity and thermal radiation onto heat transfer characteristics are widely analyzed. The results for the velocity and temperature field are presented through tables and graphs and discussed.