Free Convective MHD Radioactive Flow Across a Vertical Plate Enclosed in a Porous Medium Taking into Account Viscous-Dissipation, Thermo-Diffusion and Chemical-Reaction

Keywords: MHD, Porous medium, Chemical reaction, Radiation, Heat dissipation, Soret effect and Dufour effect

Abstract

The paper examines solution for a two-dimensional steady, viscous, heat dissipation, incompressible hydro-magnetic free convective flow past a uniformly moving vertical porous plate immersed in a porous material in the presence of the Soret effect, Dofour effect and Chemical reaction. A constant magnetic field is directed into the fluid area perpendicular to the plate. The MATLAB built-in bvp4c solver approach is used to solve the governing non-dimensional equations. The discussion of the current issue focuses mostly on the impacts of thermal diffusion, magnetic field, thermal radiation, Grashof number, Soret number, Dufour number, and chemical reaction. It is observed that the Soret number improves fluid temperature. In addition, the fluid's temperature, concentration, and velocity all drop as the magnetic field parameter rises. Although the heat dissipation caused by the medium's porosity is usually disregarded in convective MHD flow simulations, it is considered in this work.

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References

I. Khan, K. Fakhar, and S. Shafie, “Magnetohydrodynamic free convection flow past an oscillating plate embedded in a porous medium,” Journal of the Physical Society of Japan, 80(10), 1–10 (2011). https://doi.org/10.1143/JPSJ.80.104401

C. Fetecau, S. Akhtar, I. Pop, and C. Fetecau, “Unsteady general solution for MHD natural convection flow with radiative effects, heat source and shear stress on the boundary,” International Journal of Numerical Methods for Heat and Fluid Flow, 27(6), 1266 1281 (2017). https://doi.org/10.1108/HFF-02-2016-0069

G.S. Seth, M.S. Ansari, and R. Nandkeolyar, “MHD natural convection flow with radiative heat transfer past an impulsively moving plate with ramped wall temperature,” Heat and Mass Transfer, vol. 47(5) 551–561 (2011). https://doi.org/10.1007/s00231-010-0740-1

S.R. Sheri, S. Jayaprasad, and D. Mahendar, “Soret and Dufour effects on MHD free convection flow past an impulsively moving vertical plate in the presence of inclined magnetic field”, AIP Conference Proceedings, 2246, (2020). https://doi.org/10.1063/5.0015575

K. Raghunath, M. Obulesu, and R. Sivaprasad, “Heat and mass transfer on an unsteady MHD flow through porous medium between two porous vertical plates”, AIP Conference Proceedings, 2220, (2020). https://doi.org/10.1063/5.0001103

A. Zeeshan, R. Ellahi, and M. Hassan, “Magnetohydrodynamic flow of water/ethylene glycol based nanofluids with natural convection through a porous medium,” The European Physical Journal Plus, 129(12), 261 (2014). https://doi.org/10.1140/epjp/i2014-14261-5

N. Ahmed, and D.J. Saikia, “Unsteady MHD free convective flow past a moving vertical plate in a porous medium with radiation and chemical reaction including arbitrary thermal and solutal ramped condition”, Heat Transfer, 51(7), 6893-6914 (2022). https://doi.org/10.1002/htj.22629

K.K. Lawal, and H.M. Jibril, “Impact of relative motion of a magnetic field on unsteady magnetohydrodynamic natural convection flow with a constant heat source/sink”, Heat Transfer, 50(1), 487-507 (2020). https://doi.org/10.1002/htj.21888

A.M. Sedki, “Effect of thermal radiation and chemical reaction on MHD mixed convective heat and mass transfer in nanofluid flow due to nonlinear stretching surface through porous medium”, Results in Materials, 16, 100334 (2022). https://doi.org/10.1016/j.rinma.2022.100334

N. Ahmed, and K. Choudhury, “Heat and mass transfer in three-dimensional flow through a porous medium with periodic permeability”, Heat Transfer-Asian Research, 48(2), 644-662 (2019). https://doi.org/10.1002/htj.21399

U.S. Rajput, and G. Kumar, “Effects of radiation and chemical reaction on MHD flow past a vertical plate with variable temperature and mass diffusion”, Journal of Naval Architecture and Marine Engineering, 16(2), 99–108 (2019). https://doi.org/10.3329/jname.v16i2.29526

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(3), 5-18 (2023). https://doi.org/10.17512/jamcm.2023.3.01

N. Ahmed, “Soret and Radiation Effects on Transient MHD Free Convection From an Impulsively Started Infinite Vertical Plate,” ASME. J. Heat Transfer, 134(6), 062701 (2012). https://doi.org/10.1115/1.4005749

H.R. Patel, “Thermal radiation effects on MHD flow with heat and mass transfer of micropolar fluid between two vertical walls,” International Journal of Ambient Energy, 42, 1281-1296 (2019). https://doi.org/10.1080/01430750.2019.1594371

N.N. Reddy, V.S. Rao, and B.R. Reddy, “Chemical reaction impact on MHD natural convection flow through porous medium past an exponentially stretching sheet in presence of Heat Source/Sink and viscous dissipation”, Case Studies in Thermal Engineering, 25(3), 100879 (2021). https://doi.org/10.1016/j.csite.2021.100879

B.K. Jha, and G. Samaila, “Effect of heat source/sink on MHD free convection flow in a channel filled with nanofluid in the existence of induced magnetic field: an analytic approach,” SN Appl. Sci. 2, 1321 (2020). https://doi.org/10.1007/s42452-020-3139-8

S. Matta, B.S. Malga, G.R. Goud, L. Appidi, and P.P. Kumar, “Effects of viscous dissipation on MHD free convection flow past a semi-infinite moving vertical porous plate with heat sink and chemical reaction,” Materials Today: Proceedings, (2023). https://doi.org/10.1016/j.matpr.2023.06.108

K. Borah, J. Konch, and S. Chakraborty, “Effect of Arrhenius Activation Energy in MHD Micropolar Nanofluid Flow Along a Porous Stretching Sheet with Viscous Dissipation and Heat Source”, East European Journal of Physics, 4, 98-108 (2023). https://doi.org/10.26565/2312-4334-2023-4-10

S. Akhtar, K. Borah, and S. Chakraborty, “Effect of radiation and heat dissipation on MHD convective flow in presence of heat sink,” East European Journal of Physics, 3, 471-478 (2023). https://doi.org/10.26565/2312-4334-2023-3-53

N. Senapati, and R.K. Dhal, “Magnetic effect on mass and heat transfer of a hydrodynamic flow past a vertical oscillating plate in presence of chemical reaction,” Modelling, Measurement and Control B, 79, 60-75 (2010).

S. Mondal, S. Parvin, and S.F. Ahmmed, “Effects of radiation and chemical reaction on MHD free convection flow and past a vertical plate in the porous medium”, American Journal of Engineering Research, 03(12), 15-22 (2014). https://www.ajer.org/papers/v3(12)/V3(12).pdf

S. Sinha, “Effect of chemical reaction on an unsteady MHD free convective flow past a porous plate with ramped temperature,” in: Proc. Int. Conf. Frontiers in Mathematics, (2015). pp. 204-210.

P. Suresh, Y.H. Krishna, R.S. Rao, and P.V.J. Reddy, “Effect of Chemical reaction and radiation on MHD flow along a moving vertical porous plate with heat Source and Suction,” International Journal of Applied Engineering Research, 14(4), 869-876 (2019). https://www.ripublication.com/ijaer19/ijaerv14n4_04.pdf

R. Bordoloi, K. Chamuah, and N. Ahmed, “Free convective MHD radiative flow past a porous vertical plate in a porous medium with chemical reaction”, Biointerface Research in Applied Chemistry, 13(3), 259 (2023). https://doi.org/10.33263/BRIAC133.259

Published
2024-06-01
Cited
How to Cite
Akhtar, S., Borah, K., & Chakraborty, S. (2024). 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 European Journal of Physics, (2), 142-149. https://doi.org/10.26565/2312-4334-2024-2-13