Numerical analysis of the effect of chemical reaction and heat source on MHD hyperbolic tangent fluid flow across a non-linear stretching sheet in a porous medium
DOI:
https://doi.org/10.24425/ather.2025.154906Abstract
This study investigates the influence of chemical reactions, heat sources, and magnetohydrodynamic effects on the flow of hyperbolic tangent fluid over a nonlinear stretching sheet in a porous medium. Despite significant research on magnetohydrodynamic flows, the combined effects of magnetohydrodynamics, chemical reactions and heat on hyperbolic tangent fluid flow in porous media have not been fully explored, especially under varying electromagnetic conditions. This gap is critical in applications such as geothermal energy extraction, petroleum recovery, polymer processing and cooling systems for electronics. The governing equations for mass, momentum, energy and species transport are transformed into a dimensionless system using similarity transformations and solved numerically using the implicit finite difference method with MATLAB’s ”bvp4c” solver. Key parameters, including magnetic field strength, porosity, chemical reaction rate and heat source/sink are analysed for their effects on velocity, temperature and concentration profiles. Notably, varying magnetic field strengths significantly influence flow characteristics, offering insights into the behaviour of hyperbolic tangent fluid under different electromagnetic conditions. Results of this study show that magnetohydrodynamic interactions, chemical processes and thermal effects significantly affect the flow dynamics and heat transfer. Additionally, as the Darcy number increases and the permeability of the porous medium rises, so do the shear rates within the pores. This observation underscores the intricate relationship between the shear-thinning behaviour of heat transfer fluids and permeability, providing valuable insights for optimizing flow dynamics in porous media relevant to energy extraction and material processing applications.References
[1] Shankar Goud, B., Pramod Kumar, P., & Malga, B.S. (2022). Induced magnetic field effect on MHD free convection flow in nonconducting and conducting vertical microchannel walls. Heat Transfer, 51(2), 2201–2218. https://doi.org/10.1002/htj.22396
[2] Al Oweidi, K.F., Jamshed, W., Goud, B.S., Ullah, I., Usman, Mohamed Isa, S.S.P., El Din, S.M., Guedri, K., & Jaleel, R.A. (2022). Partial differential equations modeling of thermal transportation in Casson nanofluid flow with Arrhenius activation energy and irreversibility processes. Scientific Reports, 12(1), 20597. https://doi.org/10.1038/s41598-022-25010-x
[3] Jamshed, W., Ramesh, G.K., Roopa, G.S., Nisar, K.S., Safdar, R., Madhukesh, J.K., Shahzad, F., Isa, S.S.P.M., Shankar Goud, B., & Eid, M.R. (2022). Electromagnetic radiation and convective slippery stipulation influence in viscous second grade nanofluid. ZAMM, e202200002. https://doi.org/10.1002/zamm.202200002
[4] Pal, D. (2009). Heat and mass transfer in stagnation-point flow towards a stretching surface. Meccanica, 44(2), 145–158. https://doi.org/10.1007/s11012-008-9155-1
[5] Asogwa, K.K., Kumar, K.T., Goud, B.S., & Chohan, J.S. (2023). Significance of nanoparticle shape factor and buoyancy effects. European Physical Journal Plus, 138(6), 1–13. https://doi.org/10.1140/epjp/s13360-023-04170-3
[6] Kandasamy, R., Muhaimin, I., & Saim, H.B. (2010). Lie group analysis of MHD free convection with chemical reaction. Communications in Nonlinear Science, 15(8), 2109–2123. https://doi.org/10.1016/j.cnsns.2009.09.016
[7] Dharmaiah, G., Goud, B.S., Shah, N.A., & Faisal, M. (2023). Numerical analysis of heat and mass transfer with dissipation effects. International Journal of Ambient Energy, 44(1), 2090–2102. https://doi.org/10.1080/01430750.2023.2224335
[8] Shankar Goud, B., & Dharmaiah, G. (2023). Role of Joule heating and activation energy on MHD heat and mass transfer. Numerical Heat Transfer Part B, 84(5), 620–641. https://doi.org/10.1080/10407790.2023.2215917
[9] Elbashbeshy, E.M.A., & Bazid, M.A.A. (2004). Heat transfer over an unsteady stretching surface. Heat and Mass Transfer, 41, 1–4. https://doi.org/10.1007/s00231-004-0520-x
[10] Raptis, A. (1998). Radiation and free convection flow through a porous medium. International Communications in Heat and Mass Transfer, 25(2), 289–295. https://doi.org/10.1016/S0735-1933(98)00016-5
[11] Cortell, R. (2007). Viscous flow and heat transfer over a nonlinear stretching sheet. Applied Mathematics and Computation, 184(2), 864–873. https://doi.org/10.1016/j.amc.2006.06.077
[12] Xuan, Y., & Li, Q. (2000). Heat transfer enhancement of nanofluids. International Journal of Heat and Fluid Flow, 21(1), 58–64. https://doi.org/10.1016/S0142-727X(99)00067-3
[13] Malik, M.Y., Salahuddin, T., Hussain, A., & Bilal, S. (2015). MHD flow of tangent hyperbolic fluid over a stretching cylinder. Journal of Magnetism and Magnetic Materials, 395, 271–276. https://doi.org/10.1016/j.jmmm.2015.07.097
[14] Naseer, M., Malik, M.Y., Nadeem, S., & Rehman, A. (2014). Boundary layer flow of hyperbolic tangent fluid over a stretching cylinder. Alexandria Engineering Journal, 53(3), 747–750. https://doi.org/10.1016/j.aej.2014.05.001
[15] Hayat, T., Qayyum, S., Ahmad, B., & Waqas, M. (2016). Radiative flow of tangent hyperbolic fluid with chemical reaction. EPJ Plus, 131(12). https://doi.org/10.1140/epjp/i2016-16422-x
[16] Nadeem, S., & Akram, S. (2009). Peristaltic transport of hyperbolic tangent fluid model. Zeitschrift für Naturforschung A, 64(9–10), 559–567. https://doi.org/10.1515/zna-2009-9-1004
[17] Reddy, B.N., Dodda, R., & Reddy, B.S. (2024). Numerical investigation of MHD tangent hyperbolic fluid flow. Journal of Advanced Research in Fluid Mechanics, 120(1), 122–139. https://doi.org/10.37934/arfmts.120.1.122139
[18] Upadhya, S.M., Raju, S.S.K., Raju, C.S.K., & Mnasri, C. (2020). Arrhenius activation in Jeffrey fluid with radiation. Arabian Journal for Science and Engineering, 45(11), 9095–9109. https://doi.org/10.1007/s13369-020-04687-0
[19] Nadeem, S., & Akram, S. (2011). MHD peristaltic flow of hyperbolic tangent fluid. Acta Mechanica Sinica, 27(2), 237–250. https://doi.org/10.1007/s10409-011-0423-2
[20] Sheikh, M., Hasnain, J., Abid, N., & Abbas, Z. (2024). Chemically reactive MHD flow over stretching sheet. Facta Universitatis, 39(2), 265–278. https://doi.org/10.22190/fumi230413018s
[21] Nasir, S., Berrouk, A.S., & Aamir, A. (2024). Efficiency analysis of solar radiation on nanofluid flow. Case Studies in Thermal Engineering, 63, 105231. https://doi.org/10.1016/j.csite.2024.105231
[22] Gaffar, S.A., Bég, O.A., Kuharat, S., & Bég, T.A. (2024). Hydromagnetic tangent hyperbolic flow in porous medium. Physics Open, 19, 100216. https://doi.org/10.1016/j.physo.2024.100216
[23] Shehzad, S.A., Hayat, T., Qasim, M., & Asghar, S. (2013). Effects of mass transfer on MHD Casson fluid flow with reaction. Brazilian Journal of Chemical Engineering, 30(1), 187–195. https://doi.org/10.1590/S0104-66322013000100020
[24] Amjad, M., Khan, M.N., Ahmed, K., Ahmed, I., Akbar, T., & Eldin, S.M. (2023). Magnetohydrodynamics tangent hyperbolic nanofluid flow over an exponentially stretching sheet: Numerical investigation. Case Studies in Thermal Engineering, 45, 102900. https://doi.org/10.1016/j.csite.2023.102900
[25] Ahmed, I., Alghamdi, M., Amjad, M., Aziz, F., Akbar, T., & Muhammad, T. (2023). Numerical investigation of MHD flow of hyperbolic tangent nanofluid over a non-linear stretching sheet. Helion, 9(7), e17658. https://doi.org/10.1016/j.heliyon.2023.e17658
[26] LeVeque, R.J. (2007). Finite difference methods for ordinary and partial differential equations: Steady-state and time-dependent problems. Society for Industrial and Applied Mathematics, Philadelphia, USA.
