Insight Into the Fluid Flow Through the Porous Medium Between Two Vertical Walls Due to Buoyancy Forces, Convectively Heating of Left Wall, Space-Dependent Heat Source But Subject to Lorentz Force

The area of fluid dynamics known as magnetohydrodynamics (MHD) studies how magnetic fields affect fluid flow. Its existence in a variety of geometries has become an enthralling aspect of science and technology. Cooling nuclear reactors and medical research are all practical uses. In the current work, we investigate free convective slip flow between two vertical walls generated by convective heating of the left wall in steady and unsteady state magnetohydrodynamics with chemical kinetic exponents. In general, we present two sets of solutions: a constant state and a transient state. The implicit finite difference method and the homotopy perturbation approach were used to obtain the two solutions. Line graphs were utilized to depict the effects of various flow factors included in the system.The findings demonstrated that a slight rise in MHD decreases the momentum barrier layer by inducing the Lorentz force.However, slows the flow and depictsthe best view at the biomolecular chemical reaction index. Furthermore, it was demonstrated that in contrast to Arrhenius and Sensitized, higher fluid velocity and temperature at biomolecular chemical processes result in significant increases in temperature and velocity gradients, while fluid velocity is found to be significantly improved with a slight increase in a porous medium. Significant agreement can also be seen when comparing the steady state and the unsteady solution.