Thermo-diffusion and diffusion-thermo effects on flow of second grade fluid between two inclined plane walls

Abstract

This article explores the problem of Jeffery–Hamel flow for second grade fluid between two nonparallel walls having a source or a sink at the cusp. Soret and Dufour effects are incorporated in the energy and concentration equations. The dimensional partial differential equations are transformed into the coupled system of highly non-linear ordinary differential equations with the help of defined dimensionless parameters. Then, analytical solution of the said system is calculated. For said purpose, we employed well known analytical method Homotopy Analysis method (HAM). For the sake of comparison, numerical solution is also calculated by utilizing Runge-Kutta Fehlberg numerical scheme. From this we found an excellent agreement between analytical and numerical results for both converging and diverging channels. The variations in temperature and concentration profiles for varying ingrained physical parameters in the flow model are discussed graphically. Both the cases of convergent and divergent channels are contemplated. The values of skin friction coefficient, local Nusselt and Sherwood numbers are obtained analytically and numerically as well. Finally, the results for skin friction coefficient are compared with already existing results in the literature.