Assisting or opposing MHD flow of cross fluid along a non-isothermal surface with variable thermal conductivity

Locally similar solutions are developed for aiding or opposing MHD flow near stagnation-point on a vertical stretchable surface immersed in a generalized Newtonian fluid obeying Cross rheology equation. Heat transfer problem is resolved by assuming a linear surface temperature distribution. Furthermore, fluid having variable thermal conductivity is treated. By choosing the usual transformations, the governing equations of fluid motion and energy transfer are changed into similar forms. The structure of boundary layer is controlled by a parameter measuring the ratio of free stream velocity to the wall velocity. Numerical computations are performed to address the influences of Cross fluid parameters on mean physical quantities. In particular, shear thinning character of Cross fluid is visible from the obtained simulations. Computations are found in perfect line with those of the existing literature. The physical outcomes concerning the effects of embedded parameters on wall drag coefficient and heat transfer rates are also explained in detail.