Electromagnetic and Chemical Reactions of Unsteady Viscoelastic Flow of MHD Walter's-B Through Vertical Porous Plates

Abstract

This study examines the transient magnetohydrodynamic (MHD) flow of Walter's-B viscoelastic fluid over a vertical porous plate within a porous medium, considering the effects of radiation and chemical processes. The nonlinear flow control equations are solved using a closed-loop method, producing detailed numerical solutions for velocity, temperature, and concentration profiles. Velocity decreases with increasing permeability (K), Schmidt number (Sc), radiation (R), and magnetic field strength (M). In contrast, it increases with higher Prandtl number (Pr), permeability (K), and time (t). Temperature decreases with higher radiation but rises with Prandtl number and time. Concentration decreases with higher permeability and Schmidt number but increases with time. Notably, an increase in the Brownian motion parameter enhances heat and momentum transfer, thickening the velocity and thermal boundary layers. This research has practical applications in fields, such as blood oxygenators, chemical reactors, and polymer processing industries. The novelty of the study lies in its integration of radiation, chemical processes, and MHD flows in the analysis of viscoelastic fluids, a topic that has not been widely explored in previous studies. Future research could focus on optimizing MHD Walter's-B viscoelastic flow systems, with particular attention to the effects of magnetic field strength and viscoelastic parameters on flow behavior.