Influence of Vertical Magnetic Field on Heat Transfer and Instabilities of Swirling Cylinder Flows

Ali Boukhari, R. Bessaih

Abstract

This study analyzes the influence of a vertical magnetic field on heat transfer and flow stability in swirling motion inside a cylindrical container. The governing magnetohydrodynamic (MHD) equations are solved using the available numerical framework from the original model, extended here to include Lorentz-force effects. Simulations are performed for Hartmann numbers Ha = 0–60 and Reynolds numbers up to Re = 1500. The results show that increasing Ha suppresses velocity fluctuations, reduces the intensity of the secondary vortices by 35–50%, and delays the onset of flow instability. The average Nusselt number decreases by approximately 18% when Ha increases from 0 to 50, indicating magnetic damping of convective transport. These results demonstrate that a vertical magnetic field can effectively stabilize swirling flows and significantly modify their thermal characteristics.

Keywords

Magnetohydrodynamics, Swirling flow, Cylindrical container, Heat transfer, Instability.

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References

Salcedo, E., Cajas, J.C., Treviño, C., & Martínez-Suástegui, L., "Magnetohydrodynamic instability in a partially heated vertical channel," International Journal of Heat and Fluid Flow, vol. 110, 2024, 109661. https://doi.org/10.1016/j.ijheatfluidflow.2024.109661.

Mahfoud, B., & Bessaïh, R., "Magnetohydrodynamic counter-rotating flow in a cylindrical cavity," International Journal of Heat and Mass Transfer, vol. 93, 2016, pp. 175–185. https://doi.org/10.1016/j.ijheatmasstransfer.2015.10.009.

Kakarantzas, S.C., Sarris, I.E., Grecos, A.P., & Vlachos, N.S., "Magnetohydrodynamic natural convection in a vertical cylindrical cavity with sinusoidal upper wall temperature," International Journal of Heat and Mass Transfer, vol. 52, no. 1–2, 2009, pp. 250–259. https://doi.org/10.1016/j.ijheatmasstransfer.2008.06.035.

Mahfoud, B., "Magnetohydrodynamic effect on vortex breakdown zones in coaxial cylinders," European Journal of Mechanics - B/Fluids, vol. 89, 2021, pp. 445–457. https://doi.org/10.1016/j.euromechflu.2021.07.007.

Zonouzi, S.A., Aminfar, H., & Mohammadpourfard, M., "A review on effects of magnetic fields and electric fields on boiling heat transfer and CHF," Applied Thermal Engineering, vol. 151, 2019, pp. 11–25. https://doi.org/10.1016/j.applthermaleng.2019.01.099.

Quaresma, J.N.N., da Cruz, C.C.S., Cagney, N., Cotta, R.M., & Balabani, S., "Effect of mixed convection on laminar vortex breakdown in a cylindrical enclosure with a rotating bottom plate," International Journal of Thermal Sciences, vol. 155, 2020, 106399. https://doi.org/10.1016/j.ijthermalsci.2020.106399.

Sáchica, D., Treviño, C., & Martínez-Suástegui, L., "Numerical study of magnetohydrodynamic mixed convection and entropy generation of Al2O3-water nanofluid in a channel with two facing cavities with discrete heating," International Journal of Heat and Fluid Flow, vol. 86, 2020, 108713. https://doi.org/10.1016/j.ijheatfluidflow.2020.108713.

Shankar, B.M., & Shivakumara, I.S., "Magnetohydrodynamic stability of pressure-driven flow in an anisotropic porous channel: Accurate solution," Applied Mathematics and Computation, vol. 321, 2018, pp. 752–767. https://doi.org/10.1016/j.amc.2017.11.006.

Umavathi, J.C., & Malashetty, M.S., "Magnetohydrodynamic mixed convection in a vertical channel," International Journal of Non-Linear Mechanics, vol. 40, no. 1, 2005, pp. 91–101. https://doi.org/10.1016/j.ijnonlinmec.2004.05.018.

Singh, N., Khandelwal, M.K., & Sharma, A.K., "Magnetohydrodynamic mixed convection flow of liquid metals in a vertical channel: A stability analysis," International Journal of Mechanical Sciences, vol. 234, 2022, 107657. https://doi.org/10.1016/j.ijmecsci.2022.107657.

DOI: http://dx.doi.org/10.47238/ijeca.v10i2.285

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