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Abstract: The magnetohydrodynamic transient free convection flow of a visco-elastic fluid (Rivlin - Ericksen) caused by the sinusoidal oscillation of a plane flat porous plate has been studied in this paper. The constitutive equations of continuity and mass conservation of visco-elastic fluid are solved by Laplace transform technique. The Velocity profiles of transient and steady-state due to porous plate in presents  Magnetic Hartmenn Number and porosity of the medium obtained in exponential forms and Complementary Error Functions are discussed and shown through graphs

MHB, Transient flow, Porous Plate, Rivlin – Ericksen fluid, Sinusoildial Oscillation