First Order Chemical Reaction Effects on Unsteady MHD Casson Fluid Flow Past on Parabolic Accelerated Vertical Plate with Uniform Mass Diffusion and Variable Temperature in the Presence of Thermal Radiation

This paper presents an analytical investigation into the unsteady free convection flow of Casson fluid past a parabolically accelerated vertical plate under the influence of a uniform magnetic field, thermal radiation, and chemical reaction. The study considers variable temperature and mass diffusion conditions to analysed the behaviour of velocity, temperature, and concentration profiles. The governing flow equations are analytically solved using the Laplace transform technique, and the obtained results are graphically interpreted using MATLAB software. The obtained results reveal that the velocity of the fluid increases with the increase of time (t), Mass Grashof number (Gm), and Thermal Grashof number (Gr). However, it exhibits an inverse relationship with the increase of the Prandtl number (Pr), Magnetic field parameter (M), Schmidt number (Sc), Thermal radiation parameter (R), and Chemical reaction parameter (K). The outcomes of this study can significantly contribute to industrial processes, including polymer manufacturing, food processing, metallurgical applications, and biomedical fluid dynamics, where the behaviour of non-Newtonian fluids under various thermal and concentration conditions is of paramount interest.