Optimized framework for magnetohydrodynamic Darcy–Forchheimer flow of Reiner–Philippoff fluid incorporating homogeneous–heterogeneous reactions with radiative heat transfer and Cattaneo–Christov modifications

In many commercial, industrial, residential, and engineering technologist, heat transport is a crucial operation. The classical (Newtonian) scheme’s shortcomings in accurately illustrating the behavior of fluid flow at industrial settings and enhancing operating effectiveness are addressed by the non-Newtonian fluid scheme. The Reiner–Philippoff fluid prototype is being considered for this inquiry in order to reflect the non-Newtonian fluid properties. Consequently, This paper aims to provide a theoretical analysis of Cattaneo–Christov’s impact on heat diffusion fusion on MHD Reiner–Philippoff fluid streams in the presence of a Darcy–Forchheimer medium over a stretching sheet. The study evaluates the effects of important transport mechanisms on heat transfer efficiency by methodically analyzing them, such as heat source/sink and non-linear heat radiative. In addition, boundary conditions are included for thermal and velocity slip as well as homogeneous-heterogeneous reactions. The resulting partial differential equations are transformed into a set of ordinary differential equations by applying the proper transformations. Using the MATLAB computing program, the derived equations are numerically resolved using the Runge–Kutta–Fehlberg technique. Through the use of plotted graphic representations, the influence of different parameters on fluid flow is thoroughly examined. Tables are also used to consider physical quantities numerically. One of the main results is that the velocity field decreases as the inertia coefficient rises for bose two Newtonian and Reiner–Philippof case. The findings point to a new function for nuclear reactors, chemical processes, electronic cooling, microheater pipes, and heat transfer phenomena.