Soret and Dufour effects on MHD double-diffusive mixed convective heat and mass transfer of couple stress fluid in a channel formed by electrically conducting and non-conducting walls

A numerical investigation is carried out to study the significance of Soret and Dufour effects on magnetohydrodynamic double-diffusive mixed convective heat and mass transfer of couple stress fluid flow with induced magnetic field in a vertical channel. The flow field is governed by Brinkmann-Forchheimer extended Darcy's momentum equation. The channel walls are electrically conducting and non-conducting; also the temperature of the channel wall increases or decreases linearly with x in the direction of the fluid flow. The coupled non-linear governing equations are solved numerically using Galerkin finite element method. The influence of governing parameters on the flow variables along with heat and mass transfer is discussed. Obtained results indicate that increase in Darcy number increases the velocity profile due to higher permeability of the medium. Increasing the thermal and solute Rayleigh number enhances the velocity in the channel. The Dufour effect is more prominent on the temperature profile when compared to concentration. In the Soret phenomenon, the temperature gradient affected the concentration distribution. Higher values of the Soret number results in higher convective flow and, hence, increases the concentration. This study includes computational fluid dynamics (CFD) simulations as well as an artificial neural network (ANN) model.

Automated summary

This numerical investigation explores the significance of the Soret and Dufour effects on magnetohydrodynamic double-diffusive mixed convective heat and mass transfer in a vertical channel. The study analyzes the influence of governing parameters on flow variables and heat/mass transfer, revealing the notable effects of Darcy number, thermal/solute Rayleigh number, and the Soret phenomenon on velocity and concentration profiles.