Unsteady MHD Flow of Casson Fluid Past Vertical Surface Using Laplace Transform Solution

The study explores the velocity of Casson fluid that is time-independent over an exponentially infinite
isotherm vertical permeable sheet. The impact of magnetohydrodynamic (MHD) with Casson flow over the permeabilitysheet is examined. In contrast, thermal radiation and heat sink parameters have been incorporated. This study’s primarygoal is to determine the significance of thermal radiation on Casson flow with MHD using an analytical solution over apermeable sheet. The flow of the fluid occurs above the sheet when y is greater than zero, and the sheet extends far awayin the x-direction. The model of governing equations is reduced by applying a suitable set of dimensionless parameters.These dimensionless systems of equations are solved through the Laplace transformation method. The impacts ofvarious variables over velocity, temperature, concentration, skin friction, and Nuseelt number are scrutinized. These
variables contain magnetic field M, Casson fluid parameter , Ghroshof number Gr, modified Grashof number Gc,Prandtl number Pr, thermal radiation Rd and Scimdth number Sc. These plots are sketched for the considerablemagnitude of these variables through the Mathematica Software, and these plots are discussed in detail. Results showthat the increasing value of M reduces the fluid velocity but velocity of fluid is enhanced with larger values of Gr, Gcand . The impact of Skin friction and Nusselt number is elaborated by tabular outlined.