Chemically reacting magneto-hydrodynamics (MHD) fluid flow through a porous medium

Abstract

This paper considered and investigated the effects of chemically reacting Fluid flow through a porous medium in a Magnetic field as a magneto-hydrodynamics fluid flow through a porous medium. We developed a mathematical model for the flow and using perturbation method, the modeled partial differential equations were reduced to a system of ordinary differential equations and solved. The geometry of the problem was considered where the x-axis is taken in the vertical direction along the plate while y-axis is normal to the plate so that all the characteristics of the fluid are independent of the variable x. The impact of Chemical reaction, Magnetic intensity, Prandt number, schmidt number, porosity and thus permeability of the physical parameters were investigated on velocity, temperature, and concentration profiles. More so, the impacts of the same parameters were investigated on the skin-friction, Nuselt number, and Sherwood number. The results showed that growing magnetic intensity leads to decrease in velocity and skin-friction of the flow field at every point, increase in chemical reaction and Schmidt number leads to decrease in temperature and concentration at every point of the flow field. An increase in Prandtl number, Magnetic intensity, and Permeability shows no effect on concentration profile at every point of the flow field.