Steady flow of an electrically conducting incompressible viscoelastic fluid over a heated plate

The transformation group theoretic approach is applied to the problem of the flow of an electrically conducting incompressible viscoelastic fluid near the forward stagnation point of a heated plate. The application of one-parameter transformation group reduces the number of independent variables, by one, and consequently the basic equations governing flow and heat transfer are reduced to a set of ordinary differential equations. These equations have been solved approximately subject to the relevant boundary conditions by employing the shooting numerical technique. The effect of the magnetic parameter M. the Prandtl number Pr and the non-dimensional elastic parameter representing the non-Newtonian character of the fluid k on velocity field, shear stress, temperature distribution and heat flux are carefully examined.