Effects of Thermal Diffusion and Diffusion Thermo on a Chemically Reacting MHD Peristaltic Transport of Bingham Plastic Nanofluid

Abstract

In this work we investigated the solution of the peristaltic motion of Bingham plastic nanofluid through a vertical symmetric channel. The system is stressed by an external strong magnetic field to produce a hall currents. Moreover, we involved effects of Joule heating, radiation, chemical reaction and couple stresses. Further, we considered Soret and Dufour effects. This phenomenon is represented mathematically by a system of non-linear equations which describe the problem. We used the approximation of low Reynolds number and long-wavelength approximation to simplify the governing equations. Then, we used Homotopy perturbation method (HPM) to solve the equations. We sketched a graph for the influence of various parameters on velocity, temperature and nanoparticles concentration profiles and then discussed them physically. Finding revealed that an increase of Bingham number  and the regularization parameter of Bingham fluid  decreases the velocity and increases the temperature, but radiation parameter  has an opposite relative to them. Also, we found that increasing of chemical reaction parameter  reduces the nanoparticles concentration, whereas the reverse is the case when the reaction order  is increased.