Applications of Sumudu Transform to MHD Flows of an Oldroyd-B Fluid

In this paper, Sumudu transform is employed to solve the unsteady MHD flow problems namely, Couette flow, Poiseuille flow and generalized Couette flow of an Oldroyd-B fluid between two parallel plates. The fluid is electrically conducting and magnetic field is applied perpendicular to the plates. Since the Sumudu transform has units preserving properties, therefore aforementioned problems are solved without restoring the frequency domain. But these properties not exist in the Laplace transform, which is the major benefit of Sumudu transform over the Laplace transform. Further, the solutions that have been obtained, have complete agreement with those established by using the Laplace transform. The obtain solutions reveal that the method is very effective and simple.