NUMERICAL COMPUTATION OF CHEMICAL REACTION, HEAT GENERATION, THERMAL RADIATION, AND VISCOUS DISSIPATION EFFECTS ON MAGNETOHYDRODYNAMIC (MHD) CONVECTIVE FLOW THROUGH A POROUS MEDIUM
Keywords:
Viscous dissipation, Magnetohydrodynamic, Runge Kutta, Stretching Surface, Thermal radiation
Abstract
This research explores the effect of viscous dissipation on free convection magnetohydrodynamic (MHD) flow through a porous medium over an exponentially stretching surface in the presence of a chemical reaction. The fundamental governing partial differential equations (PDEs) governing the problems are transformed into nonlinear ordinary differential equations (ODEs) using similarity variable. Numerical solutions are then obtained through the shooting method combined six order Runge Kutta Scheme. Maple software is used for the simulation of the problem. The characteristics of boundary layer flow, along with the behaviour near the bounding surface, and the effect of embedded flow parameters on velocity, temperature and concentration profiles are examined and interpreted through graphical illustrations. The findings indicate that an increase in the Eckert number, radiation, and magnetic parameter (M) enhances the temperature profiles, whereas a rise in the chemical reaction parameter, porosity, and Schmidt number reduces the concentration profiles. To ensure accuracy, a comparative analysis between the present results and previously published outcomes for a specific case is performed, revealing strong agreement.
References
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[15] Kai-Long Hsiao, Micropolar nanofluid flow with MHD and viscous dissipation effects to- wards a stretching sheet with multimedia feature, Int. J. Heat Mass Tran. 112, 983990. (2017).
[16] Kalpna Sharma, Sumit Gupta. Analytical study of MHD boundary layer flow and heat transfer towards a porous exponentially stretching sheet in presence of thermal radiation, Int. J. Adv. Appl. Math. Mech. 4 (1). 110, 4(1). (2016).
[17] Mishra, S.R., Mohammad Mainul Hoque, Mohanty, B., Anika, N.N. Heat transfer effect on MHD flow of a micropolar fluid through porous medium with uniform heat source and radiation, Nonlinear Eng. 8, 6573. (2019).
[18] Reddy, N.N., Rao, V.S., and Reddy, B.R., 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 (2021) 100879 (2021).
[19] Rout, B.C. and Mishra, S.R. Thermal energy transport on MHD nanofluid flow over a stretching surface, Engineering Science and Technology, Int. J. 21 6069. (2018).
[20] Samir kumar Nandy, Tapas Ray Mahapatra, Effects of slip and heat generation/absorption on MHD stagnation flow of nanofluid past a stretching/shrinking surface with convective boundary conditions, Int. J. Heat Mass Tran. 64 (2013) 10911100.
[21] Shankar Goud, B., Dharmendar Reddy, Y. Srinivasa Rao, V. and Zafar Hayat Khan, Thermal radiation and Joule heating effects on a magnetohydrodynamic Casson nanofluid flow in the presence of chemical reaction through a non-linear inclined porous stretching sheet, J. Nav. Architect. Mar. Eng. 17, 143164. (2020).
[22] Srinivasa Raju, R., Anil Kumar, M., and Dharmendar Reddy, Y. Unsteady MHD free convective flow past a vertical porous plate with variable suction 11 (23) 1360813616. (2016).
[23] Swain, I., Mishra, S.R.,. Pattanayak, H.B. Flow over exponentially stretching sheet through porous medium with heat source/sink, J. Eng. 7. Article ID 452592. (2015).
[24] Yanala Dharmendar Reddy, Dodda Ramya, Laxmianarayanagari Anand Babu, Effect of thermal radiation on MHD boundary layer flow of nanofluid and heat transfer over a non-linearly stretching sheet with transpiration, Journal of Nanofluids 5 (6), 889897, 9. (2016).
[2] Anil Kumar, M., Dharmendar Reddy, Y., Shankar Goud, B., Srinivasa Rao, V. Effects of soret, dufour, hall current and rotation on MHD natural convective heat and mass transfer flow past an accelerated vertical plate through a porous medium, International Journal of thermo fluids, International Journal of Thermofluids 9 100061. 2021
[3] AnilKumar, M., Dharmendar Reddy, Y., Srinivasa Rao,V., ShankarGoud, B. Thermal radiation impact on MHD heat transfer natural convective nano fluid flow over an impulsively started vertical plate, Case Studies in Thermal Engineering 24, 100826. 2021.
[4] Asha, S.K. and Sunitha, G. Thermal radiation and Hall effects on peristaltic blood flow with double diffusion in the presence of nanoparticles, Case Studies in Thermal Engineering 17 100560. 2020
[5] Bhowmik, H., Gharibia, A., Yaarubia, A., Alawia, N. (2019). Transient natural convection heat transfer analyses from a horizontal cylinder, Case Studies in Thermal Engineering 14 100422. 2019.
[6] Chunquan Li, Jian Huang, Yuling Shang, Hongyan Huang, Study on the flow and heat dissipation of water-based alumina nanofluids in microchannels, Case Studies in Thermal Engineering 22 100746. 2020.
[7] Dharmendar Reddy, Y., Srinivasa Rao, V. and Anand Babu, L. MHD boundary layer flow of nanofluid and heat transfer over a porous exponentially stretching sheet in presence of thermal radiation and chemical reaction with suction, Int. J. Math. Trends Technol. 47 (2). 2017a.
[8] Dharmendar Reddy, Y., Srinivasa Rao, V., Anand Babu, L. Viscous dissipation and partial slip effects on mhd boundary layer flow of nanofluid and heat transfer over A nonlinear stretching sheet with non-uniform heat source, International Journal of Mathematical Archive 8 (8) . EISSN 2229-5046. 2017b.
[9] Dharmender Reddy, Y. Srinivasa Rao, V., Anil Kumar, M., Effect of heat generation/absorption on MHD copper-water nanofluid flow over a non-linear stretching/ shrinking sheet, AIP Conference Proceedings 2246 (2020), 020017. 2020.
[10] Dharmender Reddy, Y., Srinivas Rao, V., Babu Ramya, D., Anand, L. MHD boundary layer flow of nanofluid and heat transfer over a nonlinear stretching sheet with chemical reaction and suction/blowing, Journal of Nanofluids 7 (2), 404412, 9. 2018.
[11] Ganga, B., Mohamed Yusuff Ansari, S., Vishnu Ganesh, N., Abdul Hakeem, A.K. MHD radiative boundary layer flow of nanofluid past a vertical plate with internal heat generation/absorption, viscous and ohmic dissipation effects, Journal of the Nigerian Mathematical Society 34 (2015) 181194.
[12] Idowu, A.S. and Falodun, B.O. SoretDufour effects on MHD heat and mass transfer of Walters-B viscoelastic fluid over a semi-infinite vertical plate: spectral relaxation analysis, Journal of Taibah University for Science 13 4962. (2019).
[13] Iswar Chandra Mandal, Swati Mukhopadhyay, Heat transfer analysis for fluid flow over an exponentially stretching porous sheet with surface heat flux in a porous medium, Ain Shams Engineering Journal 4 (2013) 103110.
[14] Jena, S. Dash, G.C., and Mishra, S.R. Chemical reaction effect on MHD viscoelastic fluid flow over a vertical stretching sheet with heat source/sink, Ain Shams Engineering Journal 9, 12051213. (2018).
[15] Kai-Long Hsiao, Micropolar nanofluid flow with MHD and viscous dissipation effects to- wards a stretching sheet with multimedia feature, Int. J. Heat Mass Tran. 112, 983990. (2017).
[16] Kalpna Sharma, Sumit Gupta. Analytical study of MHD boundary layer flow and heat transfer towards a porous exponentially stretching sheet in presence of thermal radiation, Int. J. Adv. Appl. Math. Mech. 4 (1). 110, 4(1). (2016).
[17] Mishra, S.R., Mohammad Mainul Hoque, Mohanty, B., Anika, N.N. Heat transfer effect on MHD flow of a micropolar fluid through porous medium with uniform heat source and radiation, Nonlinear Eng. 8, 6573. (2019).
[18] Reddy, N.N., Rao, V.S., and Reddy, B.R., 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 (2021) 100879 (2021).
[19] Rout, B.C. and Mishra, S.R. Thermal energy transport on MHD nanofluid flow over a stretching surface, Engineering Science and Technology, Int. J. 21 6069. (2018).
[20] Samir kumar Nandy, Tapas Ray Mahapatra, Effects of slip and heat generation/absorption on MHD stagnation flow of nanofluid past a stretching/shrinking surface with convective boundary conditions, Int. J. Heat Mass Tran. 64 (2013) 10911100.
[21] Shankar Goud, B., Dharmendar Reddy, Y. Srinivasa Rao, V. and Zafar Hayat Khan, Thermal radiation and Joule heating effects on a magnetohydrodynamic Casson nanofluid flow in the presence of chemical reaction through a non-linear inclined porous stretching sheet, J. Nav. Architect. Mar. Eng. 17, 143164. (2020).
[22] Srinivasa Raju, R., Anil Kumar, M., and Dharmendar Reddy, Y. Unsteady MHD free convective flow past a vertical porous plate with variable suction 11 (23) 1360813616. (2016).
[23] Swain, I., Mishra, S.R.,. Pattanayak, H.B. Flow over exponentially stretching sheet through porous medium with heat source/sink, J. Eng. 7. Article ID 452592. (2015).
[24] Yanala Dharmendar Reddy, Dodda Ramya, Laxmianarayanagari Anand Babu, Effect of thermal radiation on MHD boundary layer flow of nanofluid and heat transfer over a non-linearly stretching sheet with transpiration, Journal of Nanofluids 5 (6), 889897, 9. (2016).
Published
2025-10-31
How to Cite
AROLOYE, S. J., Balogun, R. O., & Ijezie, A. P. (2025). NUMERICAL COMPUTATION OF CHEMICAL REACTION, HEAT GENERATION, THERMAL RADIATION, AND VISCOUS DISSIPATION EFFECTS ON MAGNETOHYDRODYNAMIC (MHD) CONVECTIVE FLOW THROUGH A POROUS MEDIUM. Unilag Journal of Mathematics and Applications, 5(1), 39 - 50. Retrieved from https://lagjma.unilag.edu.ng/article/view/2774
Section
Articles
Copyright (c) 2025 SOLUADE JOSEPH AROLOYE, Rilwan Oluwanishola Balogun, Akudo Pamela Ijezie
This work is licensed under a Creative Commons Attribution 4.0 International License.
