In this paper, we study the thermal and mass diffusion on incompressible viscoelastic fluid flow (Rivlin-Ericksen) between two infinite vertical parallel plates moving in opposite direction, while one plate is oscillating in time and magnitude about a constant non-zero mean under the influence of a uniform transverse magnetic field. The suction velocity at the plate fluctuates with the time harmonically from a constant mean velocity. We have evaluated velocity distribution, temperature distribution, concentration distribution, phase and amplitude of the skin friction. The effects of magnetic parameter M, visco-elastic parameter S, Schmidt number Sc, Grashof number Gr, modified Grashof number Gc, and Prandtl number Pr on the above said physical quantities are discussed.
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