Metachronal wave analysis for non-Newtonian fluid under thermophoresis and Brownian motion effects

Abstract

This paper analyse the mathematical model of ciliary motion in an annulus. The effect of convective heat transfer and nanoparticle are taken into account. The governing equations of Jeffrey six-constant fluid along with heat and nanoparticle are modelled and then simplified by using long wavelength and low Reynolds number assumptions. The reduced equations are solved with the help of homotopy perturbation method. The obtained expressions for the velocity, temperature and nanoparticles concentration profiles are plotted and the impact of various physical parameters are investigated for different peristaltic waves. Streamlines has also been plotted at the last part of the paper. Keywords: Non-Newtonian fluid, Peristaltic flow, Cilia effect, Analytical solution