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

The motion of non-Newtonian fluid with heat and mass transfer through porous medium past a shrinking plate is discussed. The fluid obeys Casson 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-linear PDE which describe the continuity, momentum, heat, and mass equations. These system of non-linear equations are transformed into ODE 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 is 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.