MHD 3D flow of powell eyring fluid over a bidirectional non-linear stretching surface with temperature dependent conductivity and heat absorption/generation

Abstract

The Present work addresses the MHD three-dimensional boundary layer flow of Powell Eyring fluid over a bidirectional non-linear stretching surface in the presence of thermal radiation and heat generation/absorption. We also considered the temperature dependent thermal conductivity. The governing flow partial differential equations are transmuted into ordinary differential equations with the help of suitable similarity transformations. The resultant non-linear coupled system is solved numerically by the shooting technique. This article presents the novel exploration of radiative heat transport of Powell Eyring fluid by considering temperature dependent conductivity over a bidirectional non- linear stretching sheet. The effects of various pertinent parameters on the present flow are presented graphically and explained in detail. We noticed that the velocity and temperature fields can be reduced by applying a strong magnetic field. The progress in Prandtl number condenses the temperature field but it improves the rate of heat transfer. Further, it is concluded that the large values of Powell Eyring fluid parameters enhance the skin friction.