BROWNIAN MOTION AND THERMOPORESIS EFFECTS OF NANOFLUID FLOW THROUGH THE PERISTALTIC MECHANISM IN A VERTICAL CHANNEL
R. Vijayaragavan, P. Tamizharasi, A. Magesh
Abstract
In this article we investigated the peristaltic motion of viscous nanofluid under the influence of porous medium and magnetic field through the vertical asymmetric channel. The governing equations of the fluid flow, such as the continuity, momentum, energy, and concentration equations, are modulated. The lengthy governing equations are reduced by considering the approximation of smaller Reynolds numbers and greater wavelength approximations. Analytical solutions of temperature and nanoparticle volume fraction were obtained and the results compared to the exact solution. Finally, an exact analytical solution of the stream function was calculated. The impacts of various relevant fluid parameters of fluid velocity, pressure rise, temperature, nanoparticle volume fraction, and stream function are presented in graphical illustrations. The study revealed that the heat transfer rate increases and the mass transfer rate decreases due to an increase in Brownian motion, but the opposite behavior is observed for enhancement of the thermophoresis parameter.