Soret and Dufour Effects with Hall Currents on Peristaltic Flow of Casson Fluid with Heat and Mass Transfer Through Non-Darcy Porous Medium Inside Vertical Channel

The peristaltic flow with heat and mass transfer for non-Newtonian fluid through non- darcy porous medium is investigated. The fluid obeys Casson model and the effects of Hall currents, Ohmic and viscous dissipations, heat generation and chemical reaction are taken into account. Problem is mathematically modulated using a system of partial differential equations describing velocity, temperature and concentration of the fluid. The non-dimensional partial differential equations are simplified using the approximations of long wavelength and low Reynolds number. Then this system subjected to appropriate boundary conditions is solved by using homotopy perturbation method. The effect of obtained solutions of velocity, temperatures and concentration as functions of the physical parameters of the problem are discussed computationally and illustrated graphically. It is shown that the velocity decreased by increasing of the magnetic field, non -Newtonian parameter, while it increases with non- darcian parameter and heat generation, also, the temperature decreases with increasing of Eckert and Grashoff numbers while it increases with heat generations. Dufour number and non-direction furthermore, the concentration decreases with Newtonian and magnetic parameters, while it increases with chemical reaction and Eckert number.