Thermal explosion and distribution of hydromagnetic Eyring–Prandtl double exothermic diffusion-reaction fluid in a porous channel

Abstract

Harmful waste discharge poses a global threat to environmental degradation, as incomplete combustion of hydrocarbons can lead to unusual diseases and natural disasters, as well as toxic discharge. Therefore, this research aims to investigate the thermal explosion and distribution of hydromagnetic Eyring–Prandtl fluid during double exothermic combustion in a porous channel. The working Eyring–Prandtl fluid is assumed to be fully viscoelastic to inspire the combustion process in the absence of material deformation. A partial differential model of an electromagnetic pressure-driven flow is developed to govern the combustion reaction process in the presence of chemical kinetics, non-isothermal fixed wall constraints, and without fluid material reactant consumption. The model is transformed into an invariant form by introducing similarity variables; the resultant dynamical equations are solved via a finite difference semi-implicit scheme. The graphs and tables demonstrate that the rising parameter values for the double reaction step propelled heat transfer to help improve combustion processes. Also, the material dilatant parameter enhanced the fluid viscosity for increased chemical industrial usage which implies that, excessive heat generation due to exothermic combustion must be supervised to circumvent reactant species blowup. In addition, the magnetic field created complex dynamics in the fluid by introducing electromagnetic Lorentz forces, which changed the reaction rate and heat distribution inside the channel. Furthermore, there is a strong positive correlation between the results obtained in the current study and the existing published data.