MHD Flow and Heat Transfer Past a Porous Stretching Non-Isothermal Surface in Porous Medium with Variable Free Stream Temperature

The aim of this paper is to analyse the boundary layer flow of an electrically conducting liquid having variable free stream temperature past a porous stretching non-isothermal surface with a power-law stretching velocity in the presence of a transverse magnetic field in a porous medium. Using a special form of Lie group transformations viz. scaling group of transformations, similarity solutions for this problem are obtained. The transformed equations are then solved numerically. With increasing values of the temperature ratio parameter, the temperature decreases. At a particular point of the porous stretching sheet, the velocity decreases with the increasing suction parameter. The dimensionless temperature at a point of the sheet decreases due to suction. With the increase of magnetic field intensity, the fluid velocity decreases but the temperature increases. Velocity decreases with permeability parameter but the temperature increases in this case. The findings of this study reveal that temperature ratio parameter and suction can be used as means of cooling the boundary layer flow region.