Modelling and numerical simulation of magneto-reactive Casson fluid flow and mass transfer in a porous vertical surface

This research investigates Casson fluid flow over a vertical porous (absorbent) surface under a suitable applied magnetic field in the presence of a chemical reaction. The effects of various physical parameters, including the volume fraction of penetrable spheres, suction rate, Schmidt and Casson fluid numbers, magnetic field strength, and chemical concentration on the fluid mass transfer and momentum characteristics, specifically the Sherwood number and skin friction, are studied. The flow and mass-transfer equations governing the two phenomena are transformed into a nonlinear system of ordinary differential equations via similarity transformations. The velocity and concentration profiles under different parameter values are obtained by numerically solving the BVP using BVP4C in MATLAB. The quantitative results demonstrate that, while an increase in the Grashof number decreases skin friction, increases in the volume fraction, suction parameter, Schmidt number, Casson parameter, magnetic parameter, and chemical concentration increase skin friction. Conversely, the g (acceleration due to gravity) decreases with increasing Casson and magnetic field parameters, but increases with the chemical concentration, Grashof, Schmidt, suction, and volume fraction. These findings are corroborated by published literature. The current study has applications in the development of magnetic nanoparticles for targeted drug delivery, enhanced heat and mass transport phenomena in porous media processing, and the production of microfluidic devices, where control over chemically reactive, magneto-sensitive, non-Newtonian fluids is crucial.