Heat transfer in MHD viscoelastic boundary layer flow over a stretching sheet with space and temperature dependent heat source

This paper presents the influences of space and temperature dependent fluid properties on the hydromagnetic boundary layer flow of a viscoelastic liquid and heat transfer over a continuously stretching sheet, with variable thermal conductivity, in the presence of a space and temperature dependent heat source/sink. The thermal conductivity is assumed to vary as a linear function of temperature. A suitable similarity transformation is used in order to convert the flow and heat transfer governing partial differential equations into a set of highly non-linear ordinary differential equations. Solutions of heat transfer equation are obtained numerically, by the shooting technique with fourth order Runge Kutta method. The parametric analysis has been presented to study the effect of various parameters like the magnetic parameter, non-Newtonian Prandtl number, non-uniform heat source/sink parameters, temperature parameter and the variable thermal conductivity parameters for two different surface conditions namely, i) a surface with a prescribed wall temperature ii) a surface with a prescribed wall heat flux. The findings are shown graphically and are discussed. The heat transfer coefficients are also tabulated for various values of the said parameters.