Heat and Mass Transfer Effect on Non-Newtonian Fluid Flow in a Non-uniform Vertical Tube with Peristalsis

Abstract

This article deals with the influence of heat and mass transfer on peristaltic flow of non-Newtonian Williamson fluid in the gap between concentric tubes. A perturbation solution, under the assumptions of long wavelength and low Reynolds number is obtained which satisfies the momentum, energy and concentration equations for the case of small porosity parameter and Weisseing number. Numerical results for the behaviors of the velocity, temperature and concentration as well as the skin friction, Nusselt number and Sherwood number with other physical parameters are displayed and discussed in detail. The obtained results point to that the temperature increases with the increase each of Eckert number Ec and Weisseing number, We. While, an opposite behavior for the concentration compared to temperature behavior is found. Morever, The axial velocity decreases with the increase each of Sc and Sr, whereas it decreases as Ec, GT and GC increase.