Investigation of MHD flow with Viscous Dissipation, Heat Source, and Soret effects on a Vertical Moving plate
Résumé
The current research investigates the impact of viscous dissipation, thermal convection, and the Soret effect on an incompressible aqueous ionic fluid on MHD boundary layer flow over a moving plate vertically. By applying the similarity transformations, the governing partial differential equations are converted into a system of ordinary differential equations, using the fourth-order Runge-Kutta integration method in conjunction with the shooting technique. A detailed graphical analysis is depicted to illustrate the various physical characteristics of temperature, concentration, and velocity profiles on dimensionless parameters as Prandtl, Magnetic parameter, Eckert number, Chemical reaction, Grashof number, and modified Grashof number. Also, variations in Nusselt number, Skin-friction coefficient, and Sherwood coefficients were observed to assess the impact on heat and mass parameters.
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Références
[1] S, R., Malga, B. S., K, G., and CH, K. K., 2022, “Viscous Dispassion and Chemical Reaction Impact on Axisymmetric Flow through a Radially Extending Surface,” Int. J. Math. Trends Technol., 68(10), pp. 44–55. https://doi.org/10.14445/22315373/ijmtt-v68i10p507.
[2] Srinivasacharya, D., and Jagadeeshwar, P., 2019, “Effect of Joule Heating on the Flow over an Exponentially Stretching Sheet with Convective Thermal Condition,” Math. Sci., 13(3), pp. 201–211. https://doi.org/10.1007/s40096-019-0290-8.
[3] Ibrahim, S. M., and Suneetha, K., 2016, “Heat Source and Chemical Effects on MHD Convection Flow Embedded in a Porous Medium with Soret, Viscous and Joules Dissipation,” Ain Shams Eng. J., 7(2), pp. 811–818. https://doi.org/10.1016/j.asej.2015.12.008.
[4] Hayat, T., Qayyum, S., Khan, M. I., and Alsaedi, A., 2018, “Entropy Generation in Magnetohydrodynamic Radiative Flow Due to Rotating Disk in Presence of Viscous Dissipation and Joule Heating,” Phys. Fluids, 30(1). https://doi.org/10.1063/1.5009611.
[5] Mangamma, C., Appidi, L., Malga, B. S., Kumar, P. P., and Matta, S., 2024, “Effect of Radiation and Viscous Dissipation Using the Galerkin Method over a Vertical Porous Plate with Variation in Temperature,” Heat Transf., 53(4), pp. 1709–1725. https://doi.org/10.1002/htj.23012.
[6] Mangamma C, P. K. P. M. B. A. L. M. S. M. C. P. K. P. M. B. A. L. M. S., 2024, “Effect of Dufour and Chemical Reaction on an Unsteady Magneto-Hydrodynamics Flow Past an Exponentially Moving Plate . 2024; 53:1689‐1708.,” Heat Transf., 53, pp. 1689–1708. https://doi.org/https://doi.org/10.1002/htj.23010.
[7] Sharma, B. K., and Gandhi, R., 2022, “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., 11(2), pp. 276–292. https://doi.org/10.1016/j.jppr.2022.06.001.
[8] Awais, M., Bibi, M., Ali, A., Malik, M. Y., Nisar, K. S., and Jamshed, W., 2022, “Numerical Analysis of MHD Axisymmetric Rotating Bodewadt Rheology under Viscous Dissipation and Ohmic Heating Effects,” Sci. Rep., 12(1). https://doi.org/10.1038/s41598-022-13676-2.
[9] B. Nayak, S. R. M. G. G. K., 2019, “Chemical Reaction Effect of an Axisymmetric Flow over Radially Stretched Sheet,” Propuls. Power Res., 8, p. 79. https://doi.org/https://doi.org/10.1016/j.jppr.2019.01.002.
[10] A, S. M., and B, Bala Siddulu MalgaB, Gunnala Rameshwar GoudA, Lakshmi AppidiPC, . Pramod Kumar, 2023, “Effects of Viscous Dissipation on MHD Free Convection Flow Past a Semi-Infinite Moving Vertical Porous Plate with Heat Sink and Chemical Reaction,” pp. 1629–1636. https://doi.org/https://doi.org/10.1016/j.matpr.2023.06.108.
[11] Ahmed, R., Ali, N., Khan, S. U., and Tlili, I., 2020, “Numerical Simulations for Mixed Convective Hydromagnetic Peristaltic Flow in a Curved Channel with Joule Heating Features,” AIP Adv., 10(7). https://doi.org/10.1063/5.0010964.
[12] Michael O. Oni, B. K. J., 2021, “Joule Heating and Viscous Dissipation Effect on Electroosmotic Mixed Convection Flow in a Vertical Microchannel Subjected to Asymmetric Heat Fluxes,” Propuls. Power Res., 10(1), pp. 83–94. https://doi.org/https://doi.org/10.1016/j.jppr.2021.01.001.
[13] Goud, B. S., Kumar, P. P., Malga, B. S., and Reddy, Y. D., 2025, “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, 35(4), pp. 7928–7949. https://doi.org/10.1080/17455030.2022.2091809.
[14] P. Pramod Kumar, B. S. M. L. A. C. M., 2024, “Analysis of the Influence of the Soret Number on Axisymmetric Flow through the Application of the Successive Linearization Technique,” Heat Transf., pp. 1–10. https://doi.org/https://doi.org/10.1002/htj.23249.
[15] Sadia, H. M. M. & M. T., 2024, “Modelling Slip Flow of Bingham Fluid Induced by a Porous Revolving Disk with Viscous Dissipation and Joule Heating Effects,” J Therm Anal Calorim, 149, pp. 5555–5567. https://doi.org/https://doi.org/10.1007/s10973-024-13260-y.
[16] Swain, B. K., Parida, B. C., Kar, S., and Senapati, N., 2020, “Viscous Dissipation and Joule Heating Effect on MHD Flow and Heat Transfer Past a Stretching Sheet Embedded in a Porous Medium,” Heliyon, 6(10), p. e05338. https://doi.org/10.1016/j.heliyon.2020.e05338.
[17] Ravuri Mohana Ramana, G. D. M. S. K. F. U. S. N., 2024, “Numerical Performance of Hall Current and Darcy-Forchheimer Influences on Dissipative Newtonian Fluid Flow over a Thinner Surface,” Case Stud. Therm. Eng., 60, p. 104687. https://doi.org/https://doi.org/10.1016/j.csite.2024.104687.
[18] Turkyilmazoglu, M., 2021, “Nonlinear Problems via a Convergence Accelerated Decomposition Method of Adomian,” C. - Comput. Model. Eng. Sci., 127(1), pp. 1–22. https://doi.org/10.32604/cmes.2021.012595.
[19] Krishna, M. V., 2024, “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, 14, pp. 11647–11664. https://doi.org/https://doi.org/10.1007/s13399-022-03160-2.
[20] Majid Hussain, S. J. Q. A. R. J. A. K. J. A. A., 2022, “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., 16, p. 100709. https://doi.org/https://doi.org/10.1016/j.rineng.2022.100709.20.
[21] Shishehbor, B., and Shishehbor, B., 2024, “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., 3(1), pp. 67–89. https://doi.org/10.61186/setee.3.1.67.
[22] Mangamma, C., Malga, B. S., Kumar, P. P., Appidi, L., Suresh, P., and Ravi, P. S., 2024, “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., 26(1), pp. 99–113. https://doi.org/10.37934/arnht.26.1.99113.
[23] Karim, M. E., Samad, M. A., and Hasan, M. M., 2012, “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., 02(03), pp. 91–100. https://doi.org/10.4236/ojfd.2012.23009.
[24] S Mohammad Ibrahim, K. S., 2016, “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., 8, pp. 811–818. https://doi.org/https://doi.org/10.1016/j.asej.2015.12.008.
[25] Nidhal Ben Khedher, Z. U. M. A. C. R. M. S. M. E., 2024, “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., 102374(15). https://doi.org/https://doi.org/10.1016/j.asej.2023.102374.
[2] Srinivasacharya, D., and Jagadeeshwar, P., 2019, “Effect of Joule Heating on the Flow over an Exponentially Stretching Sheet with Convective Thermal Condition,” Math. Sci., 13(3), pp. 201–211. https://doi.org/10.1007/s40096-019-0290-8.
[3] Ibrahim, S. M., and Suneetha, K., 2016, “Heat Source and Chemical Effects on MHD Convection Flow Embedded in a Porous Medium with Soret, Viscous and Joules Dissipation,” Ain Shams Eng. J., 7(2), pp. 811–818. https://doi.org/10.1016/j.asej.2015.12.008.
[4] Hayat, T., Qayyum, S., Khan, M. I., and Alsaedi, A., 2018, “Entropy Generation in Magnetohydrodynamic Radiative Flow Due to Rotating Disk in Presence of Viscous Dissipation and Joule Heating,” Phys. Fluids, 30(1). https://doi.org/10.1063/1.5009611.
[5] Mangamma, C., Appidi, L., Malga, B. S., Kumar, P. P., and Matta, S., 2024, “Effect of Radiation and Viscous Dissipation Using the Galerkin Method over a Vertical Porous Plate with Variation in Temperature,” Heat Transf., 53(4), pp. 1709–1725. https://doi.org/10.1002/htj.23012.
[6] Mangamma C, P. K. P. M. B. A. L. M. S. M. C. P. K. P. M. B. A. L. M. S., 2024, “Effect of Dufour and Chemical Reaction on an Unsteady Magneto-Hydrodynamics Flow Past an Exponentially Moving Plate . 2024; 53:1689‐1708.,” Heat Transf., 53, pp. 1689–1708. https://doi.org/https://doi.org/10.1002/htj.23010.
[7] Sharma, B. K., and Gandhi, R., 2022, “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., 11(2), pp. 276–292. https://doi.org/10.1016/j.jppr.2022.06.001.
[8] Awais, M., Bibi, M., Ali, A., Malik, M. Y., Nisar, K. S., and Jamshed, W., 2022, “Numerical Analysis of MHD Axisymmetric Rotating Bodewadt Rheology under Viscous Dissipation and Ohmic Heating Effects,” Sci. Rep., 12(1). https://doi.org/10.1038/s41598-022-13676-2.
[9] B. Nayak, S. R. M. G. G. K., 2019, “Chemical Reaction Effect of an Axisymmetric Flow over Radially Stretched Sheet,” Propuls. Power Res., 8, p. 79. https://doi.org/https://doi.org/10.1016/j.jppr.2019.01.002.
[10] A, S. M., and B, Bala Siddulu MalgaB, Gunnala Rameshwar GoudA, Lakshmi AppidiPC, . Pramod Kumar, 2023, “Effects of Viscous Dissipation on MHD Free Convection Flow Past a Semi-Infinite Moving Vertical Porous Plate with Heat Sink and Chemical Reaction,” pp. 1629–1636. https://doi.org/https://doi.org/10.1016/j.matpr.2023.06.108.
[11] Ahmed, R., Ali, N., Khan, S. U., and Tlili, I., 2020, “Numerical Simulations for Mixed Convective Hydromagnetic Peristaltic Flow in a Curved Channel with Joule Heating Features,” AIP Adv., 10(7). https://doi.org/10.1063/5.0010964.
[12] Michael O. Oni, B. K. J., 2021, “Joule Heating and Viscous Dissipation Effect on Electroosmotic Mixed Convection Flow in a Vertical Microchannel Subjected to Asymmetric Heat Fluxes,” Propuls. Power Res., 10(1), pp. 83–94. https://doi.org/https://doi.org/10.1016/j.jppr.2021.01.001.
[13] Goud, B. S., Kumar, P. P., Malga, B. S., and Reddy, Y. D., 2025, “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, 35(4), pp. 7928–7949. https://doi.org/10.1080/17455030.2022.2091809.
[14] P. Pramod Kumar, B. S. M. L. A. C. M., 2024, “Analysis of the Influence of the Soret Number on Axisymmetric Flow through the Application of the Successive Linearization Technique,” Heat Transf., pp. 1–10. https://doi.org/https://doi.org/10.1002/htj.23249.
[15] Sadia, H. M. M. & M. T., 2024, “Modelling Slip Flow of Bingham Fluid Induced by a Porous Revolving Disk with Viscous Dissipation and Joule Heating Effects,” J Therm Anal Calorim, 149, pp. 5555–5567. https://doi.org/https://doi.org/10.1007/s10973-024-13260-y.
[16] Swain, B. K., Parida, B. C., Kar, S., and Senapati, N., 2020, “Viscous Dissipation and Joule Heating Effect on MHD Flow and Heat Transfer Past a Stretching Sheet Embedded in a Porous Medium,” Heliyon, 6(10), p. e05338. https://doi.org/10.1016/j.heliyon.2020.e05338.
[17] Ravuri Mohana Ramana, G. D. M. S. K. F. U. S. N., 2024, “Numerical Performance of Hall Current and Darcy-Forchheimer Influences on Dissipative Newtonian Fluid Flow over a Thinner Surface,” Case Stud. Therm. Eng., 60, p. 104687. https://doi.org/https://doi.org/10.1016/j.csite.2024.104687.
[18] Turkyilmazoglu, M., 2021, “Nonlinear Problems via a Convergence Accelerated Decomposition Method of Adomian,” C. - Comput. Model. Eng. Sci., 127(1), pp. 1–22. https://doi.org/10.32604/cmes.2021.012595.
[19] Krishna, M. V., 2024, “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, 14, pp. 11647–11664. https://doi.org/https://doi.org/10.1007/s13399-022-03160-2.
[20] Majid Hussain, S. J. Q. A. R. J. A. K. J. A. A., 2022, “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., 16, p. 100709. https://doi.org/https://doi.org/10.1016/j.rineng.2022.100709.20.
[21] Shishehbor, B., and Shishehbor, B., 2024, “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., 3(1), pp. 67–89. https://doi.org/10.61186/setee.3.1.67.
[22] Mangamma, C., Malga, B. S., Kumar, P. P., Appidi, L., Suresh, P., and Ravi, P. S., 2024, “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., 26(1), pp. 99–113. https://doi.org/10.37934/arnht.26.1.99113.
[23] Karim, M. E., Samad, M. A., and Hasan, M. M., 2012, “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., 02(03), pp. 91–100. https://doi.org/10.4236/ojfd.2012.23009.
[24] S Mohammad Ibrahim, K. S., 2016, “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., 8, pp. 811–818. https://doi.org/https://doi.org/10.1016/j.asej.2015.12.008.
[25] Nidhal Ben Khedher, Z. U. M. A. C. R. M. S. M. E., 2024, “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., 102374(15). https://doi.org/https://doi.org/10.1016/j.asej.2023.102374.
Publiée
2026-03-23
Rubrique
Special Issue: Recent Advances in Computational and Applied Mathematics: Mode...
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