Impact of Hall and Dufour Effects on Magnetohydrodynamic Flow Along a Vertically Accelerated Parabolic Plate with Uniform Temperature and Mass Diffusion Under Rotational Influence

This study presents a numerical investigation into the Hall and Dufour effects on a
parabolic accelerated vertical plate under unsteady magnetohydrodynamic (MHD) flow
conditions, considering an initial velocity profile, constant temperature, and mass
diffusion in a rotating fluid. The study focuses on electrically conducting, incompressible
viscous fluids that do not scatter in any medium. It also evaluates heat transfer from the
plate and accumulation levels in the surrounding region. The governing equations were
solved using the Inverse Laplace Transform method. The analysis explores the influence
of two key flow parameters—rotation and diffusion—on accumulation, temperature,
and velocity of the vertical plate. Simulations were conducted using MATLAB R2020a.
The results indicate that increasing velocity enhances physical dimension metrics such
as the Dufour number (Df), Prandtl number (Pr), and Thermal Grashof number (Gr).
Conversely, an increase in the Schmidt number (Sc), Mass Grashof number (Gm), and
Hall parameter (m) leads to a reduction in velocity.