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MHD is the branch of science which deals with the study of the interaction between the fluid motion and electromagnetic phenomena. The set of equations which describe MHD are a combination of the Navier -Stokes equations of fluid dynamics and Maxwell's equations of electromagnetism. These differential equations can be solved simultaneously, either analytically or numerically. Laplace transformation is one of the analytical techniques, which can solve many problems arising in the study of fluid mechanics. Laplace transform techniques can be used for solving the governing system of partial differential equations are linear. Some of the MHD flow problem arising non-Linear system of partial differential equations whose solutions are difficult to finding analytically. HAM is one of the semi-analytical methods which can be used for said problems.