Modeling of magnetohydrodynamic Casson fluid flow due to moving permeable plate with Soret and Dufour impacts

Abstract

This work aims to investigate the magnetohydrodynamic boundary layer flow of Casson fluid due to a moving permeable plate with Soret and Dufour impacts. The mathematical modeling of the current flow problem is obtained by utilizing the mass balance, momentum balance, energy balance, and concentration equations. The flow equations are governed by highly non-linear PDEs, which are converted into ODEs with the help of suitable similarity transformations in order to get simplified versions of the governing equations. The authors have solved these equations with appropriate boundary conditions by employing the BVP4C method in the inbuilt software MATLAB. In this work, we have explored the effect of various prominent parameters such as the Casson fluid parameter, Hartmann number, Soret number, Dufour number, Prandtl number, Forchheimer number, chemical reaction parameter and porosity parameter on the flow quantities such as velocity, temperature, and concentration with the help of graphical plots and tables. After the analysis of results, it is found that as the Casson fluid parameter and Hartmann number increase, the velocity of the Casson fluid decreases, but the concentration and temperature during the Casson fluid flow get enhanced. It is also found from the present work that the fluid temperature and Nusselt number can be controlled by the Dufour number, whereas the concentration and Sherwood number of the fluid can be controlled by the Soret number. Furthermore, it is observed that the temperature and concentration of the Casson fluid decrease steeply for higher values of the Prandtl number. The results of the present work bridge the gap in the body of available literature and may be very useful in lubrication systems with permeable surfaces, flow through porous tissues or membranes, as in dialysis or drug delivery systems, and chemical, pharmaceutical, and food industries, where filtration through permeable plates is needed.