Thermal Diffusion and Diffusion Thermo Effects on Magnetohydrodynamics Transport of Non-Newtonian Nanofluid Through a Porous Media Between Two Wavy Co-Axial Tubes

Magnetohydrodynamics peristaltic flow of non-Newtonian nanofluid with heat and mass transfer is investigated. The fluid obeys third-grade model and flows through a porous medium inside a gap between two co- axial tubes, where the inner is rigid and the outer has a sinusoidal wave traveling down its wall. The effects of heat source and chemical reaction on the fluid are taken into account. The governing equations that describe the velocity, temperature, and nanoparticles concentration of the fluid are simplified under the assumptions of long wavelength and low Reynolds number. The homotopy perturbation method (HPM) is used to solve these equations, and the solutions are obtained as functions of the physical parameters entering the problem. The behavior of the obtained solutions for different values of these parameters is discussed in detail and illustrated graphically through a set of figures. It is shown that the velocity increases with the increase in the third-grade parameter, while it decreases with increasing the magnetic field parameter. Also, the temperature increases by increasing the Brownian motion parameter. Furthermore, the nanoparticles’ concentration decreases with the increase in the chemical reaction rate parameter.