JMAT_V3_N4_RP4 J. Girish Kumar Journal on Mathematics 2277-5137 3 4 42 50 Visco-Elastic, Porous medium, Heat and Mass Transfer, MHD (Magnetohydrodynamics) This work focused on the effects of mass transfer on an unsteady visco-elastic second order Rivin-Erickson fluid, past an impulsively started infinite vertical plate in the presence of foreign mass on taking into account of viscous dissipative heat, at the plate under the influence of a uniform transverse magnetic field. The dimensionless governing equations for this investigation are solved numerically by using the finite difference method. The effects of various parameters such as Pr (Prandtl number), Gr (Grashof number), Gc (solutal Grashof number), Ec (Eckert number), Sc (Schmidt nmber), M (Hartmann number) and k (permeable parameter), on the velocity profiles, the temperature profiles and the concentration profiles are presented graphically and discussed. The author have observed that, the velocity increases with increase in the value of Grashof number or solutal Grashof number. Also the temperature decreases with increase in the Prandtl number and Concentration is reduced with increase in Schmidt number. The study of visco-elastic fluid flows over vertical surfaces immersed in porous media in the presence of magnetic field has attracted the researchers due to its application in geophysical, astrophysics and biological system etc. October - December 2014 Copyright © 2014 i-manager publications. All rights reserved. i-manager Publications http://www.imanagerpublications.com/Article.aspx?ArticleId=3187