Significance of induced magnetic field and variable thermal conductivity on stagnation point flow of second grade fluid

In this study, the stagnation point transport of second grade fluid with linear stretching under the effects of variable thermal conductivity is considered. Induced magnetic field impact is also incorporated. The nonlinear set of particle differential equations is converted into set of ordinary differential equations through appropriate transformation. The resulting equations are then resolved by optimal homotopy analysis method. The effect of pertinent parameters of interest on skin friction coefficient, temperature, induced magnetic field, velocity and local Nusselt number is inspected by generating appropriate plots. For numerical results, the built-in bvp4c technique in computational software MATLAB is used for the convergence and residual errors of obtained series solution. It is perceived that the induced magnetic field is intensified by increasing β. It can also be observed that skin friction coefficient enhances with increasing value of magnetic parameter depending on the stretching ratio a/c. For the validness of the obtained results, a comparison has been made and an excellent agreement of current study with existing literature is found.