Harnessing of potential Hall and Dufour Effects on MHD flow over a parabolically accelerated vertical plate

Abstract This research work investigates the Hall and Dufour Effects, as well as the impact of rotation, on magnetohydrodynamic flow over a parabolically accelerated vertical plate with uniform temperature and variable mass diffusion. In contrast to other studies that investigated these effects independently or under steady plate motion, this work evaluates their combined impact in a transient, parabolically accelerated condition in an entirely novel way. The precise nature of this impact is still not very clear despite relevant computations being made. Both the plate temperatures and the nearby concentration levels have increased consistently and uniformly. The dimensionless form was obtained by applying the Laplace transform. The Schmidt number, Ludwig Prandtl number, thermal Franz Grashof number, and mass Franz Grashof number were among the physical parameters that were assessed. For the profiles to be visually represented, these properties were included with the effects of velocity, temperature, and the number of species dissolved in the liquid. The liquid stream equation concepts are developed by implementing MATLAB software. Increased velocity measurements are the result of an increase in the thermal (or mass) Grashof number. A reversal of the trend has been observed in the Dufour and magnetic field characteristics. In the investigated settings, the temperature and concentration levels near the plate both steadily increase. This formulation provides a more thorough understanding of coupled electromagnetic–thermal–mass diffusion phenomena in electrically conducting fluids by integrating Hall currents, Dufour heat transfer, and rotational effects. It may find use in material processing, energy systems, and industrial cooling. Moreover, the current analysis illustrates the effects of Schmidt number variation and time‐dependent concentration decay on the concentration boundary layer in MHD flows. This information is essential for optimizing processes where mass transfer under magnetic fields is a governing factor, such as metallurgical operations, chemical reactors, cooling systems, and biomedical transport.