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The motion of non-Newtonian fluid with heat and mass transfer through porous  medium past a shrinking plate is discussed. The fluid obeys Casion model,  heat generation, viscous dissipation, thermal diffusion and chemical  reaction are taken in our considered. The motion is modulated mathematically  by a system of non liner partial differential equations which describe the  continuity, momentum, heat and mass equations. These system of non linear  equations are transformed into ordinary differential equations by using a  suitable transformations. These equations are solved numerically by using  Mathematica package. The numerical distributions of the velocity,  temperature and concentration are obtained as a functions of the physical  parameters of the problem. Moreover the effects of these parameters on these  solutions are discussed numerically and illustrated graphically through some  figures. It is clear that these parameters play an important role to control  the velocity, temperature and concentration of the fluid motion. It’s found  that the fluid velocity deceases with the increasing of electric parameter  while it increases as the magnetic hartman parameter increases, these  results is good agreement with the physical situation. Also, the fluid  temperature decreases and increases as the Prandtl number and Eckert number  increases respectively. At least the fluid concentration decreases with  both of soret and schimdt numbers.

Electromagnetic steady motion of Casson fluid with heat and mass transfer through porous medium past a shrinking surface