Natural Convection in Rotating MHD Flow Past a Suddenly Started Infinite Vertical Plate with Ramped Conditions

The key objective of this analysis is to investigate the impacts of diffusion-thermo and radiation absorption on rotating MHD free convective flow under simultaneous ramped conditions in the presence of Hall currents. Utilizing the Heaviside step function, the non-dimensional domain equations are solved by adopting a closed form of the Laplace transform method technique. Both graphical and tabular representations are presented to illustrate the physical characteristics of various flow parameters influencing the problem. The graphs are created using MATLAB computational tools. The results demonstrate that, for ramped condition, an increase in the Dufour number and radiation absorption parameter reduces the rate of heat transfer by 86.7% and 21.5%, respectively, whereas in the isothermal case, the reductions are 69.9% and 64.2%. It is also noted that an augmentation in the ramped parameter leads to increased rates of momentum, as well as heat and mass transfer. Moreover, our research uncovered a fascinating result that fluid velocity increases with higher magnetic parameter values, a phenomenon rarely addressed in existing literature.