IJLTEMAS International Journal of Latest Technology in Engineering, Management & Applied Science (IJLTEMAS) IJLTEMAS 2278-2540 IJLTEMAS 78 10.51583/IJLTEMAS.2026.150700073 Fluid Dynamics Analytical Study of Unsteady MHD Flow Over a Vertical Porous Plate with Exponentially Accelerating Velocity, Temperature, and Concentration in the Presence of Hall Current, Chemical Reaction, Heat Source, and Dufour Effect Krishnakumari M. Department of Mathematics, Mahalakshmi Women’s College of Arts and Science , Paruthipattu Road, Near Hazel Realty Pvt. Ltd., Avadi, Chennai, Tamil nadu India Lakshmikaanth D. Department of Mathematics, College of Fish Nutrition & Food Technology (CFNFT),Tamilnadu Dr.J.Jayalalithaa Fisheries University (TNJFU), Chennai-600051, INDIA India 15 7 875 889 24 07 2026 29 07 2026 13 08 2026 Crank Nicolson Reaction Schmidt Permeability (Porous) Hall. Abstract

The erratic(unsteady) magnetohydrodynamic (MHD) natural convection-based HMT circulation throughout vertically permeable plate, about an exponentially varying rate, temperature and concentration respectively in occurrence of Hall phenomenon current, chemical reaction, heat source and Dufour effect is numerically analysed by using the Crank–Nicolson technique, subject to the specified conditions. A graphic representation and discussion of how the governing factors affect the speed(velocity) profiles are provided. The findings demonstrate that while the magnetic parameter, chemical reaction, and Schmidt number drops velocity, Hall parameter, thermal Grashof number, mass Grashof number, and permeability increase it.

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