Oblique Flow of Shear Thinning Fluid through an Absorptive Radiative Medium with Hall Effect

Abstract

The assumption of Hall current and ion slip is extremely crucial in several industrial and manufacturing processes, such as MHD (magneto hydrodynamics) accelerators, preservation coils, transmission lines, electric converters, and heating elements. Keeping this in view, the main aim of this article is to present a computational analysis of MHD ion Hall current with nonlinear thermal radiation on the sloping flow of shear thinning fluid through a porous medium on a stretching sheet that allows fluid suction and injection. The major mathematical modelling of governed problems is converted into a system of nonlinear ODEs (ordinary differential equations) by means of appropriate similarity relations. The influence of all relative physical parameters on velocity and temperature is studied through graphs and discussed in a detailed physical manner. Some beneficial mathematical quantities from the practical engineering and industrial point of view, such as skin friction factor and heat transfer rate at the porous surface, are calculated numerically and presented through graphs. It has been observed that flow may become unstable when M is small and the existence of a magnetic field and a porous ground contributes to a highly rough flow over the stretching surface. Suction is actually a resistive force which results in higher skin friction that is beneficial in controlling flow separation. Temperature of the fluid rises with stronger magnetic field and higher thermal radiation effects. The local heat flux decreases as the magnetic field strength and permeability parameter increase.