DUFOUR AND SORET EFFECTS ON FREE CONVECTIVE MHD FLOW OVER AN INCLINED POROUS PLATE IN POROUS MEDIUM
Keywords:
Soret effect, Dufour effect, MHD, chemical reaction, radiation, mass diffusionDOI:
https://doi.org/10.17654/0973468625003Abstract
The present study investigates solution to the problem of magnetohydrodynamics free convective flow past an inclined porous plate in presence of the heat source, Soret effect, Dufour effect and chemical reaction. To analyze the flow model, we transform it into a system of partial differential equations. We then employ the bvp4c method in MATLAB to obtain numerical solutions for this system. Numerical results show that the chemical reaction, thermal radiation, angle of inclination, Soret and Dufour effects possess a major impact on the heat and mass transfer of the fluid. The results of this study could be relevant in the fields of chemical industries, chemical engineering, and petroleum engineering. Velocity, temperature and concentration distribution are presented graphically for various emerging physical parameters like Soret number, Dufour number, Prandtl number, radiation and the heat source.
Received: February 12, 2025
Revised: March 5, 2025;
Accepted: May 6, 2025
References
T. Javed, M. Faisal and I. Ahmad, Actions of viscous dissipation and ohmic heating on bidirectional flow of a magneto-Prandtl nanofluid with prescribed heat and mass fluxes, Heat Transfer 49 (2020), 4801-4819. https://doi.org/10.1002/htj.21853.
V. Manjula and K. V. C. Sekhar, Analysis of heat and mass transfer on steady MHD Casson fluid flow past an inclined porous stretching sheet with viscous dissipation and thermal radiation, International Journal of Mechanical and Production Engineering Research and Development 10 (2020), 281-292.
N. Ahmed, MHD convection with Soret and Dufour effects in a three dimensional flow past an infinite vertical porous plate, Can. Journal of Physics 88 (2010), 663 674. https://doi.org/10.1139/P10-056.
S. G. Bejawada and D. R. Yanala, Finite element Soret Dufour effects on an unsteady MHD heat and mass transfer flow past an accelerated inclined vertical plate, Heat Transfer 50 (2021), 8553-8578. https://doi.org/10.1002/htj.22290.
S. Akhtar, K. Borah and S. Chakraborty, Free convective MHD radioactive flow across a vertical plate enclosed in a porous medium taking into account viscous-dissipation, thermo-diffusion and chemical-reaction, East Eur. J. Phys. 2 (2024), 142-149. https://doi.org/10.26565/2312-4334-2024-2-13.
M. Hossain, A. R. Laskar and M. F. A. Bhuiyan, Effect of chemical reaction on unsteady MHD convective transport passing a vertical porous plate, Journal of Engineering Science 14 (2023), 85-93. https://doi.org/10.3329/jes.v14i1.67638.
B. S. Goud, Y. D. Reddy and K. K. Asogwa, Inspection of chemical reaction and viscous dissipation on MHD convection flow over an infinite vertical plate entrenched in porous medium with Soret effect, Biomass Conv. Bioref. 14 (2024), 7683-7694. https://doi.org/10.1007/s13399-022-02886-3.
K. Borah, J. Konch and S. Chakraborty, Soret and Dufour effects on MHD flow of a micropolar fluid past over a vertical Riga plate, Journal of Applied Mathematics and Computational Mechanics 22 (2023), 5-18.
https://doi.org/10.17512/jamcm.2023.3.01.
N. Ahmed, P. J. Parashar and K. Choudhury, Soret and Dufour effects in a three-dimensional MHD flow past a semi-infinite uniformly moving vertical plate with constant heat flux, Latin American Applied Research 53 (2023), 263-270.
E. Omamoke and A. Emeka, The impact of chemical reaction and heat source on MHD free convection flow over an inclined porous surface, International Journal of Scientific and Research Publications 10 (2020), 9-17.
http://dx.doi.org/10.29322/IJSRP.10.05.2020.p10103.
B. S. Goud and Y. D. Reddy, Numerical simulation of thermal radiation on an unsteady MHD nanofluid flow over an infinite vertical flat plate with ramped temperature, Special Topics and Reviews in Porous Media an International Journal 14(2) (2023), 1-16.
https://doi.org/10.1615/specialtopicsrevporousmedia.2022045487.
V. V. Kumar, M. N. Raja Shekar and Shankar G. Bejawada, Role of Soret, Dufour influence on unsteady MHD oscillatory Casson fluid flow an inclined vertical porous plate in the existence of chemical reaction, Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 110(2) (2023), 157-175.
https://doi.org/10.37934/arfmts.110.2.157175.
U. J. Das, N. M. Majumdar and B. Shankar Goud, Non-Darcian MHD flow of ternary-hybrid Cu-TiO2-Al2O3/H2O nanofluid over an inclined sheet with activation energy, Numerical Heat Transfer, Part B: Fundamentals (2024), 1-17. https://doi.org/10.1080/10407790.2024.2358376.
J. N. Lutera, M. R. Shekar and B. S. Goud, Numerical solution of an unsteady nanofluid flow with magnetic, endothermic reaction, viscous dissipation, and solid volume fraction effects on the exponentially moving vertical plate, Partial Differential Equations in Applied Mathematics 11 (2024), 100772.
https://doi.org/10.1016/j.padiff.2024.100772.
Y. Dharmendar Reddy, N. Nagi Reddy and B. S. Goud, Suction and double stratification effect on unsteady MHD heat transfer nanofluid flow over a flat surface, Results in Engineering 23 (2024), 102431.
https://doi.org/10.1016/j.rineng.2024.102431.
G. Dharmaiah, B. S. Goud, T. Srinivasulu, M. Sridevi and A. Srinu, Influence of activation energy in steady state hydro dynamic non-Newtonian nano fluid with mobile microorganisms, Results in Chemistry 9 (2024), 101653.
https://doi.org/10.1016/j.rechem.2024.101653.
J. N. Lutera, M. N. R. Shekar and B. S. Goud, Radiation impact on heat and mass transfer of an unsteady MHD nanofluid flow past an exponentially accelerating vertical plate with heat generation, Radiation Effects and Defects in Solids (2025), 1-23. https://doi.org/10.1080/10420150.2025.2458332.
Y. D. Reddy, S. G. Bejawada, N. M. Katbar, A. M. Zidan, W. Jamshed, M. R. Eid and F. A. A. ElSeabee, Heat generating impact on radiative nanofluid flow via exponential expanding surface with convective conditions: Mesh independence examination, Numerical Heat Transfer, Part A: Applications (2024), 1-24. https://doi.org/10.1080/10407782.2024.2321523.
V. V. Kumar, M. R. Shekar and S. G. Bejawada, Thermo-diffusion, diffusion-thermo impacts on heat and mass transfer Casson fluid flow with porous medium in the presence of heat generation and radiation, Partial Differential Equations in Applied Mathematics 13 (2025), 101039.
https://doi.org/10.1016/j.padiff.2024.101039.
B. K. Taid, N. Ahmed and N. Das, Free convection flow from an inclined porous plate embedded in a porous medium in the presence of diffusion thermo effect, heat source, and chemical reaction, Biointerface Research in Applied Chemistry 13 (2023), 70. https://doi.org/10.33263/BRIAC131.070.
A. Oberbeck, Ueber Die WaRmeleitung Der FluSsigkeiten Bei BeruCksichtigung Der StroMungen Infolge Von Temperaturdifferenzen, Annalen Der Physik 243(6) (1878), 271-292. https://doi.org/10.1002/andp.18792430606.
J. Boussinesq, Theorie Analytique de la Chaleur; Gauthier-Villars: Paris, France, 1903.
Downloads
Published
Issue
Section
License
Copyright (c) 2025 PUSHPA PUBLISHING HOUSE, PRAYAGRAJ, INDIA

This work is licensed under a Creative Commons Attribution 4.0 International License.
_________________________
Attribution: Credit Pusha Publishing House as the original publisher, including title and author(s) if applicable.
Non-Commercial Use: For non-commercial purposes only. No commercial activities without explicit permission.
No Derivatives: Modifying or creating derivative works not allowed without written permission.
Contact Pusha Publishing House for more info or permissions.






Google h-index:
Downloads: