Heat and mass transfer of elastico-viscous MHD fluid flow through a porous medium bounded by an oscillating porous plate in slip-flow regime under Soret and Dufour effects

Abstract

In this work, we investigate the heat and mass transfer of elastico-viscous magnetohydrodynamic fluid (Walter's $B\text{'}$ model) flow through a porous medium bounded by an oscillating porous plate in a slip-flow regime subjected to a uniform transverse magnetic field. The primary objective of this study is to examine the flow under forced convection, incorporating diffusion-thermo and thermo-diffusion effects, which represents the novelty of this research. The governing equations of the flow are solved numerically using a regular perturbation method for small $ϵ>0$. With practically feasible parameter values, numerical simulations are conducted to demonstrate the effects of associated parameters on the flow dynamics. Velocity, temperature, and concentration profiles are presented graphically for varying parameters, and skin friction ($C_f$), Nusselt number ($Nu$), and Sherwood number ($Sh$) are computed. It is observed that increasing the diffusion-thermo effect reduces the thickness of the thermal boundary layer. Furthermore, a nonlinear relationship is observed between the thermal- diffusion effect and the concentration distribution of the flow field.