A revised Jaffrey-Hamel problem with enhanced heat transport attributes considering the Darcy-Forchheimer flow of partially ionized Power-law nanofluid

Partially ionised materials react differently when exposed to an outer magnetic field. In thermal fluidic systems, Hall and Ion slip parameters are crucial for decreasing loss of heat. This article offer an appropriate approach for computing an inadequate Jeffery-Hamel flow and heat transport of a partially ionzied Power-law nanofluid. The Jeffery-Hamel flows has a variety of practical application where the flow are confined between two non-parallel walls. The flow from a source located at the diverging inlet and existing at a converging outlet driven by a constant pressure gradient. To enhance its energy efficiency, the nanomaterial MoS2 are dispersed in a Power-law fluid which serves a base fluid. The problem formulation is carried out using Navier-Stokes equation, Ohm's law and classical Fourier's law. Effects of Hall current and Ion slip for Darcy-Forchheimer flow are taken into account. The modeled equations are reduced into a system of ordinary differential equation. Fluid flow, frictional drag and heat transfer characteristics are explored as a function of divergence and convergence angle. A straight forward MATLAB BVP4c function is used to achieve the numerical solutions of the system. The findings demonstrated that the Hall current and Ion slip are increasing function of fluid velocity while their effects are opposite for temperature. Higher values of Reynold number and Weissenberg number detracts the frictional drag. In a diverging flow, the Weissenberg number, inertia friction and porosity decelerate the flow profile. The temperature is favorable and higher for Eckert, porosity and Hall effects. The coefficient of frictional drag increases by optimizing the permeability, magnetic, and Darcy parameters. Furthermore, the ion-slip number and Hall current parameter reduces the skin friction coefficient. The local Nusselt number and skin friction coefficients are increasing function of the diverging region.