Soret and Dufour effects on Jeffery-Hamel flow of second-grade fluid between convergent/divergent channel with stretchable walls

This article investigates the problem related to Jeffery-Hamel with stretchable walls. The effects of mass and heat transfer are taken into account. Soret, Dufour and viscous dissipation effects are examined to scrutinize the behavior of concentration and temperature profiles between convergent/divergent stretchable channels. By using similarity variables, nonlinear partial differential equations governing the flow are reduced into the nondimensional coupled system of ordinary differential equations. Then, said flow model is tackled analytically and numerically over a prescribed domain. For analytical solution, we employed Homotopy Analysis method while for numerical once, Runge-Kutta scheme is used after reducing the system of ordinary differential equations into system of first order initial value problem. The effects of various dimensionless parameters that ingrained in the velocity, concentration and temperature fields are scrutinized graphically for convergent and divergent stretchable channels. Also, the values of skin friction coefficient, local Nusselt and Sherwood numbers are calculated analytically by using Homotopy Analysis method (HAM) for different physical parameters. Different values of quantities of physical interest (skin friction coefficient, local rate of heat and mass transfer) are tabulated for different ingrained parameters in the flow model. Finally, comparison between present results with already existing results in the literature has been made. (C) 2016 The Authors. Published by Elsevier B. V. This is an open access article under the CC BY-NC-ND license.