Unstationary Viscoelastic MHD Flow of Walters-B Liquid Through a Vertical Porous Plate with Chemical Reactions
Abstract
This study investigates the transient magnetohydrodynamic (MHD) flow of Walter's-B viscoelastic fluid over a vertical porous plate within a porous medium, incorporating the effects of radiation and chemical processes. The nonlinear governing equations for the flow are solved using a closed-loop method, yielding detailed numerical solutions for velocity, temperature, and concentration profiles. The results indicate that velocity decreases with increasing permeability (K), Schmidt number (Sc), radiation parameter (R), and magnetic field strength (M), while it increases with higher Prandtl number (Pr), permeability (K), and time (t). Temperature decreases with increasing radiation but rises with higher Prandtl number and time. Similarly, 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, resulting in thicker velocity and thermal boundary layers. This research has practical applications in various fields, including blood oxygenators, chemical reactors, and polymer processing industries. The study's novelty lies in its comprehensive integration of radiation, chemical processes, and MHD effects in analyzing viscoelastic fluid flows—a topic that remains underexplored in the literature. Future research could focus on optimizing MHD Walter's-B viscoelastic flow systems, particularly by examining the effects of magnetic field strength and viscoelastic parameters on flow behavior.
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