Analysis of the Magnetohydrodynamics Casson fluid flow with an exponentially accelerated plate incorporating the Soret and Hall effects
1Department of Mathematics, Amity School of Applied Sciences, Amity University Mumbai, Panvel, Maharashtra 410206, India
2Department of Mathematics, Amity School of Applied Sciences, Amity University Mumbai, Panvel, Maharashtra 410206, India
3Department of Humanity and Basic Science, U. V. Patel College of Engineering, Ganpat University, Ganpat Vidyanagar, Mehsana, Gujarat 384012, India
J Ther Eng 2026; 12(6): 2191-2202 DOI: 10.47481/jten.0092
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Abstract

This article provides study of the Magnetohydrodynamics flow of a Casson fluid influenced by heat and mass transfer in an unsteady free convection environment with a rotating porous medium. The investigation considers different physical parameters like the Soret and Hall phenomena, thermal radiation, and chemical reaction, that are important in biomedical engineering, industrial processing, and magneto-thermal systems.
The flow is considered between the exponentially accelerating plates, with both ramped and constant temperature and concentration boundary conditions. A set of coupled dimensionless differential equations that governs the flow are made dimensionless by a similarity transform and then evaluated numerically using MATLAB bvp4bc function. The results prove that the primary velocity enhances with higher hall parameter,
permeability, and thermal and solutal Grashof numbers, while the thermal profile declines with enhancing radiation and Prandtl numbers. Also, the concentration levels rise with greater Soret and Schmidt parameters. The novelty of this work is that it combined modelling of reactive, thermodiffusive, and electromagnetic effects in a rotating porous system, which goes beyond earlier research that usually dealt with these phenomena separately.