Investigation of MHD Boundary-Layer Flow with Joule Dissipation, Soret Effect and Chemical Reaction
DOI :
https://doi.org/10.5269/bspm.82326Résumé
The current research examines the unsteady boundary layer flow on a vertically moving plate of magnetohydrodynamics under the influence of the Soret effect, Joule dissipation, and the combination of chemical reaction. The governing equations are solved numerically applying the finite-element method of Galerkin weighted residual with the combination of Crank–Nicolson scheme. The results indicate that Joule dissipation and magnetic interaction increase the temperature. The Soret effect facilitates mass transfer from hot to cold regions, and the chemical reaction results in concentration reduction. Also, the Eckert, Nusselt numbers, Skin-friction and Sherwood parameters were also observed.
Références
[1] R. S, B. S. Malga, G. K, and K. K. CH, “Viscous Dispassion and Chemical Reaction Impact on Axisymmetric Flow through a Radially Extending Surface,” Int. J. Math. Trends Technol., vol. 68, no. 10, pp. 44–55, Oct. 2022, doi: 10.14445/22315373/ijmtt-v68i10p507.
[2] D. Srinivasacharya and P. Jagadeeshwar, “Effect of Joule heating on the flow over an exponentially stretching sheet with convective thermal condition,” Math. Sci., vol. 13, no. 3, pp. 201–211, 2019, doi: 10.1007/s40096-019-0290-8.
[3] S. M. Ibrahim and K. Suneetha, “Heat source and chemical effects on MHD convection flow embedded in a porous medium with Soret, viscous and Joules dissipation,” Ain Shams Eng. J., vol. 7, no. 2, pp. 811–818, Jun. 2016, doi: 10.1016/j.asej.2015.12.008.
[4] T. Hayat, S. Qayyum, M. I. Khan, and A. Alsaedi, “Entropy generation in magnetohydrodynamic radiative flow due to rotating disk in presence of viscous dissipation and Joule heating,” Phys. Fluids, vol. 30, no. 1, Jan. 2018, doi: 10.1063/1.5009611.
[5] C. Mangamma, L. Appidi, B. S. Malga, P. P. Kumar, and S. Matta, “Effect of radiation and viscous dissipation using the Galerkin method over a vertical porous plate with variation in temperature,” Heat Transf., vol. 53, no. 4, pp. 1709–1725, 2024, doi: 10.1002/htj.23012.
[6] P. K. P. M. B. A. L. M. S. M. C. P. K. P. M. B. A. L. M. S. Mangamma C, “Effect of Dufour and chemical reaction on an unsteady magneto-hydrodynamics flow past an exponentially moving plate. 2024; 53:1689â€1708.,” Heat Transf., vol. 53, pp. 1689–1708, 2024, doi: https://doi.org/10.1002/htj.23010.
[7] B. K. Sharma and R. Gandhi, “Combined effects of Joule heating and non-uniform heat source/sink on unsteady MHD mixed convective flow over a vertical stretching surface embedded in a Darcy-Forchheimer porous medium,” Propuls. Power Res., vol. 11, no. 2, pp. 276–292, Jun. 2022, doi: 10.1016/j.jppr.2022.06.001.
[8] M. Awais, M. Bibi, A. Ali, M. Y. Malik, K. S. Nisar, and W. Jamshed, “Numerical analysis of MHD axisymmetric rotating Bodewadt rheology under viscous dissipation and ohmic heating effects,” Sci. Rep., vol. 12, no. 1, Dec. 2022, doi: 10.1038/s41598-022-13676-2.
[9] S. R. M. G. G. K. B. Nayak, “Chemical reaction effect of an axisymmetric flow over radially stretched sheet,” Propuls. Power Res., vol. 8, p. 79, 2019, doi: https://doi.org/10.1016/j.jppr.2019.01.002.
[10] S. M. A and Pramod Kumar B, Bala Siddulu Malga, Gunnala Rameshwar Goud, Lakshmi AppidiPC, “Effects of viscous dissipation on MHD free convection flow past a semi-infinite moving vertical porous plate with heat sink and chemical reaction,” 2023, Materials Today: Proceedings. doi: https://doi.org/10.1016/j.matpr.2023.06.108.
[11] R. Ahmed, N. Ali, S. U. Khan, and I. Tlili, “Numerical simulations for mixed convective hydromagnetic peristaltic flow in a curved channel with joule heating features,” AIP Adv., vol. 10, no. 7, Jul. 2020, doi: 10.1063/5.0010964.
[12] B. K. J. Michael O. Oni, “Joule heating and Viscous Dissipation Effect on Electroosmotic Mixed Convection flow in a vertical Microchannel subjected to Asymmetric Heat Fluxes,” Propuls. Power Res., vol. 10, no. 1, pp. 83–94, 2021, doi: https://doi.org/10.1016/j.jppr.2021.01.001.
[13] B. S. Goud, P. P. Kumar, B. S. Malga, and Y. D. Reddy, “FEM to study the radiation, Soret, Dufour numbers effect on heat and mass transfer of magneto-Casson fluid over a vertical permeable plate in the presence of viscous dissipation,” Waves in Random and Complex Media, vol. 35, no. 4, pp. 7928–7949, 2025, doi: 10.1080/17455030.2022.2091809.
[14] B. S. M. L. A. C. M. P. Pramod Kumar, “Analysis of the influence of the Soret number on Axisymmetric flow through the application of the Successive Linearization Technique,” Heat Transf., pp. 1–10, 2024, doi: https://doi.org/10.1002/htj.23249.
[15] H. . M. M. & M. T. Sadia, “Modelling slip flow of Bingham fluid induced by a porous revolving disk with viscous dissipation and Joule heating effects,” J Therm Anal Calorim, vol. 149, pp. 5555–5567, 2024, doi: https://doi.org/10.1007/s10973-024-13260-y.
[16] B. K. Swain, B. C. Parida, S. Kar, and N. Senapati, “Viscous dissipation and joule heating effect on MHD flow and heat transfer past a stretching sheet embedded in a porous medium,” Heliyon, vol. 6, no. 10, p. e05338, 2020, doi: 10.1016/j.heliyon.2020.e05338.
[17] G. D. M. S. K. F. U. S. N. Ravuri Mohana Ramana, “Numerical performance of Hall current and Darcy-forchheimer influences on dissipative Newtonian fluid flow over a thinner surface,” Case Stud. Therm. Eng., vol. 60, p. 104687, 2024, doi: https://doi.org/10.1016/j.csite.2024.104687.
[18] M. Turkyilmazoglu, “Nonlinear problems via a convergence accelerated decomposition method of Adomian,” C. - Comput. Model. Eng. Sci., vol. 127, no. 1, pp. 1–22, 2021, doi: 10.32604/cmes.2021.012595.
[19] M. V. Krishna, “Hall and ion slip effects and chemical reaction on MHD rotating convective flow past an infinite vertical porous plate with ramped wall and uniform wall temperatures,” Biomass Conv. Bioref, vol. 14, pp. 11647–11664, 2024, doi: https://doi.org/10.1007/s13399-022-03160-2.
[20] S. J. Q. A. R. J. A. K. J. A. A. Majid Hussain, “Suction/blowing impact on magneto-hydrodynamic mixed convection flow of Williamson fluid through stretching porous wedge with viscous dissipation and internal heat generation/absorption,” Results Eng., vol. 16, p. 100709, 2022, doi: https://doi.org/10.1016/j.rineng.2022.100709.20.
[21] B. Shishehbor and B. Shishehbor, “Analytical solution of the steady magnetohydrodynamic (MHD) free convection flow over a semi-infinite flat vertical plate moving in a porous medium with viscous dissipation,” Int. J. Smart Energy Technol. Environ. Eng., vol. 3, no. 1, pp. 67–89, 2024, doi: 10.61186/setee.3.1.67.
[22] C. Mangamma, B. S. Malga, P. P. Kumar, L. Appidi, P. Suresh, and P. S. Ravi, “Magnetohydrodynamic Boundary Layer Flows over a Moving Porous Vertical Plate with Viscous Dissipation and Dufour Effects in the Presence of Heat Source and Chemical Reaction,” J. Adv. Res. Numer. Heat Transf., vol. 26, no. 1, pp. 99–113, Nov. 2024, doi: 10.37934/arnht.26.1.99113.
[23] M. E. Karim, M. A. Samad, and M. M. Hasan, “Dufour and Soret Effect on Steady MHD Flow in Presence of Heat Generation and Magnetic Field past an Inclined Stretching Sheet,” Open J. Fluid Dyn., vol. 02, no. 03, pp. 91–100, 2012, doi: 10.4236/ojfd.2012.23009.
[24] K. S. S Mohammad Ibrahim, “Heat source and chemical effects on MHD convection flow embedded in a porous medium with Soret, viscous and Joule’s dissipation,” Ain Shams Eng. J., vol. 8, pp. 811–818, 2016, doi: https://doi.org/10.1016/j.asej.2015.12.008.
[25] Z. U. M. A. C. R. M. S. M. E. Nidhal Ben Khedher, “Effect of Joule heating and MHD on periodical analysis of current density and amplitude of heat transfer of electrically conducting fluid along thermally magnetized cylinder,” Ain Shams Eng. J., vol. 102374, no. 15, 2024, doi: https://doi.org/10.1016/j.asej.2023.102374.
[2] D. Srinivasacharya and P. Jagadeeshwar, “Effect of Joule heating on the flow over an exponentially stretching sheet with convective thermal condition,” Math. Sci., vol. 13, no. 3, pp. 201–211, 2019, doi: 10.1007/s40096-019-0290-8.
[3] S. M. Ibrahim and K. Suneetha, “Heat source and chemical effects on MHD convection flow embedded in a porous medium with Soret, viscous and Joules dissipation,” Ain Shams Eng. J., vol. 7, no. 2, pp. 811–818, Jun. 2016, doi: 10.1016/j.asej.2015.12.008.
[4] T. Hayat, S. Qayyum, M. I. Khan, and A. Alsaedi, “Entropy generation in magnetohydrodynamic radiative flow due to rotating disk in presence of viscous dissipation and Joule heating,” Phys. Fluids, vol. 30, no. 1, Jan. 2018, doi: 10.1063/1.5009611.
[5] C. Mangamma, L. Appidi, B. S. Malga, P. P. Kumar, and S. Matta, “Effect of radiation and viscous dissipation using the Galerkin method over a vertical porous plate with variation in temperature,” Heat Transf., vol. 53, no. 4, pp. 1709–1725, 2024, doi: 10.1002/htj.23012.
[6] P. K. P. M. B. A. L. M. S. M. C. P. K. P. M. B. A. L. M. S. Mangamma C, “Effect of Dufour and chemical reaction on an unsteady magneto-hydrodynamics flow past an exponentially moving plate. 2024; 53:1689â€1708.,” Heat Transf., vol. 53, pp. 1689–1708, 2024, doi: https://doi.org/10.1002/htj.23010.
[7] B. K. Sharma and R. Gandhi, “Combined effects of Joule heating and non-uniform heat source/sink on unsteady MHD mixed convective flow over a vertical stretching surface embedded in a Darcy-Forchheimer porous medium,” Propuls. Power Res., vol. 11, no. 2, pp. 276–292, Jun. 2022, doi: 10.1016/j.jppr.2022.06.001.
[8] M. Awais, M. Bibi, A. Ali, M. Y. Malik, K. S. Nisar, and W. Jamshed, “Numerical analysis of MHD axisymmetric rotating Bodewadt rheology under viscous dissipation and ohmic heating effects,” Sci. Rep., vol. 12, no. 1, Dec. 2022, doi: 10.1038/s41598-022-13676-2.
[9] S. R. M. G. G. K. B. Nayak, “Chemical reaction effect of an axisymmetric flow over radially stretched sheet,” Propuls. Power Res., vol. 8, p. 79, 2019, doi: https://doi.org/10.1016/j.jppr.2019.01.002.
[10] S. M. A and Pramod Kumar B, Bala Siddulu Malga, Gunnala Rameshwar Goud, Lakshmi AppidiPC, “Effects of viscous dissipation on MHD free convection flow past a semi-infinite moving vertical porous plate with heat sink and chemical reaction,” 2023, Materials Today: Proceedings. doi: https://doi.org/10.1016/j.matpr.2023.06.108.
[11] R. Ahmed, N. Ali, S. U. Khan, and I. Tlili, “Numerical simulations for mixed convective hydromagnetic peristaltic flow in a curved channel with joule heating features,” AIP Adv., vol. 10, no. 7, Jul. 2020, doi: 10.1063/5.0010964.
[12] B. K. J. Michael O. Oni, “Joule heating and Viscous Dissipation Effect on Electroosmotic Mixed Convection flow in a vertical Microchannel subjected to Asymmetric Heat Fluxes,” Propuls. Power Res., vol. 10, no. 1, pp. 83–94, 2021, doi: https://doi.org/10.1016/j.jppr.2021.01.001.
[13] B. S. Goud, P. P. Kumar, B. S. Malga, and Y. D. Reddy, “FEM to study the radiation, Soret, Dufour numbers effect on heat and mass transfer of magneto-Casson fluid over a vertical permeable plate in the presence of viscous dissipation,” Waves in Random and Complex Media, vol. 35, no. 4, pp. 7928–7949, 2025, doi: 10.1080/17455030.2022.2091809.
[14] B. S. M. L. A. C. M. P. Pramod Kumar, “Analysis of the influence of the Soret number on Axisymmetric flow through the application of the Successive Linearization Technique,” Heat Transf., pp. 1–10, 2024, doi: https://doi.org/10.1002/htj.23249.
[15] H. . M. M. & M. T. Sadia, “Modelling slip flow of Bingham fluid induced by a porous revolving disk with viscous dissipation and Joule heating effects,” J Therm Anal Calorim, vol. 149, pp. 5555–5567, 2024, doi: https://doi.org/10.1007/s10973-024-13260-y.
[16] B. K. Swain, B. C. Parida, S. Kar, and N. Senapati, “Viscous dissipation and joule heating effect on MHD flow and heat transfer past a stretching sheet embedded in a porous medium,” Heliyon, vol. 6, no. 10, p. e05338, 2020, doi: 10.1016/j.heliyon.2020.e05338.
[17] G. D. M. S. K. F. U. S. N. Ravuri Mohana Ramana, “Numerical performance of Hall current and Darcy-forchheimer influences on dissipative Newtonian fluid flow over a thinner surface,” Case Stud. Therm. Eng., vol. 60, p. 104687, 2024, doi: https://doi.org/10.1016/j.csite.2024.104687.
[18] M. Turkyilmazoglu, “Nonlinear problems via a convergence accelerated decomposition method of Adomian,” C. - Comput. Model. Eng. Sci., vol. 127, no. 1, pp. 1–22, 2021, doi: 10.32604/cmes.2021.012595.
[19] M. V. Krishna, “Hall and ion slip effects and chemical reaction on MHD rotating convective flow past an infinite vertical porous plate with ramped wall and uniform wall temperatures,” Biomass Conv. Bioref, vol. 14, pp. 11647–11664, 2024, doi: https://doi.org/10.1007/s13399-022-03160-2.
[20] S. J. Q. A. R. J. A. K. J. A. A. Majid Hussain, “Suction/blowing impact on magneto-hydrodynamic mixed convection flow of Williamson fluid through stretching porous wedge with viscous dissipation and internal heat generation/absorption,” Results Eng., vol. 16, p. 100709, 2022, doi: https://doi.org/10.1016/j.rineng.2022.100709.20.
[21] B. Shishehbor and B. Shishehbor, “Analytical solution of the steady magnetohydrodynamic (MHD) free convection flow over a semi-infinite flat vertical plate moving in a porous medium with viscous dissipation,” Int. J. Smart Energy Technol. Environ. Eng., vol. 3, no. 1, pp. 67–89, 2024, doi: 10.61186/setee.3.1.67.
[22] C. Mangamma, B. S. Malga, P. P. Kumar, L. Appidi, P. Suresh, and P. S. Ravi, “Magnetohydrodynamic Boundary Layer Flows over a Moving Porous Vertical Plate with Viscous Dissipation and Dufour Effects in the Presence of Heat Source and Chemical Reaction,” J. Adv. Res. Numer. Heat Transf., vol. 26, no. 1, pp. 99–113, Nov. 2024, doi: 10.37934/arnht.26.1.99113.
[23] M. E. Karim, M. A. Samad, and M. M. Hasan, “Dufour and Soret Effect on Steady MHD Flow in Presence of Heat Generation and Magnetic Field past an Inclined Stretching Sheet,” Open J. Fluid Dyn., vol. 02, no. 03, pp. 91–100, 2012, doi: 10.4236/ojfd.2012.23009.
[24] K. S. S Mohammad Ibrahim, “Heat source and chemical effects on MHD convection flow embedded in a porous medium with Soret, viscous and Joule’s dissipation,” Ain Shams Eng. J., vol. 8, pp. 811–818, 2016, doi: https://doi.org/10.1016/j.asej.2015.12.008.
[25] Z. U. M. A. C. R. M. S. M. E. Nidhal Ben Khedher, “Effect of Joule heating and MHD on periodical analysis of current density and amplitude of heat transfer of electrically conducting fluid along thermally magnetized cylinder,” Ain Shams Eng. J., vol. 102374, no. 15, 2024, doi: https://doi.org/10.1016/j.asej.2023.102374.
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Publié
2026-06-19
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Conf. Issue: Recent Trends in Mathematical Sciences and Technological Applic.
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© Boletim da Sociedade Paranaense de Matemática 2026
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Comment citer
C, R. S. (2026). Investigation of MHD Boundary-Layer Flow with Joule Dissipation, Soret Effect and Chemical Reaction. Boletim Da Sociedade Paranaense De Matemática, 44(17), 1-13. https://doi.org/10.5269/bspm.82326
