Analytical technique for magnetohydrodynamic (MHD) fluid flow of a periodically accelerated plate with slippage

In this research article, unsteady MHD fluid flow in a rotational frame of reference is considered which accelerating periodically with slippage condition over an infinite boundary. The Fourier transform method is used to determine analytical solutions of the derived mathematical model along with the Dirac-delta function. As a comparison, the Laplace transform approach is also used and it is found to coincide with the Fourier transform solution in the large time limit. In contrast to the Laplace transform approach, the simplicity and convenience of using the Fourier transform over an infinite domain is demonstrated and is an integral part of the presented work. With the derived analytical solution, flow behaviour is studied with variation of magnetic and rotational parameters for the presented complex boundary conditions. Graphical and numerical results are presented to validate the solution of our model.