This study combines experimental measurements and numerical simulations to systematically investigate the effects of Hartmann number (Ha) and Reynolds number (Re) on flow field structure and stability under conditions of a blockage ratio of 0.1 and a rectangular cylinder aspect ratio of 2.25, with 74≤Ha≤510 and 500≤Re≤1500. The experiment uses an electromagnetic pump to drive liquid metal and measures flow velocity through wall potential probe technology, focusing on the influence of inlet velocity and magnetic field strength on flow characteristics. The numerical simulation, based on a quasi-two-dimensional model under strong magnetic fields, analyzes the flow field characteristics under different conditions. The results show that the experimental and numerical results exhibit good agreement in the critical Reynolds number (Recr) and the Strouhal number (St). Under a fixed magnetic field, the vortex shedding frequency increases with the Reynolds number. During the downstream convection and diffusion process, the frequency of the unsteady fluctuations remains stable, while the amplitude of the dominant frequency gradually decays. Under a fixed Reynolds number, the vortex shedding frequency increases with increasing magnetic field strength, whereas the vortex kinetic energy decreases significantly.
MA Ruixue
,
DONG Siyu
,
LV Ze
,
CHEN Long
. Experimental and numerical study of quasi-two-dimensional flow around a square cylinder in a magnetic field environment[J]. Journal of University of Chinese Academy of Sciences, 0
: 18
.
DOI: 10.7523/j.ucas.2026.021
[1] Molokov S, Moreau R, Moffatt K.Magnetohydrodynamics: Historical Evolution and Trends[M]. Dordrecht: Springer Netherlands, 2007 DOI: 10.1007/978-1-4020-4833-3.
[2] Smolentsev S, Morley N B, Abdou M A, et al.Dual-coolant lead-lithium (DCLL) blanket status and R&D needs[J]. Fusion Engineering and Design, 2015, 100: 44-54. DOI: 10.1016/j.fusengdes.2014.12.031.
[3] Mistrangelo C, Bühler L, Alberghi C, et al.MHD R&D activities for liquid metal blankets[J]. Energies, 2021, 14(20): 6640. DOI: 10.3390/en14206640.
[4] Hussam W K, Hamid A H A, Ng Z Y, et al. Effect of Vortex promoter shape on heat transfer in MHD duct flow with axial magnetic field[J]. International Journal of Thermal Sciences, 2018, 134: 453-464. DOI: 10.1016/j.ijthermalsci.2018.06.012.
[5] Cassells O G W, Hussam W K, Sheard G J. Heat transfer enhancement using rectangular Vortex promoters in confined quasi-two-dimensional magnetohydrodynamic flows[J]. International Journal of Heat and Mass Transfer, 2016, 93: 186-199. DOI: 10.1016/j.ijheatmasstransfer.2015.10.006.
[6] Murali S, Hussam W K, Sheard G J.Heat transfer enhancement in quasi-two-dimensional magnetohydrodynamic duct flows using repeated flow-facing wedge-shaped protrusions[J]. International Journal of Heat and Mass Transfer, 2021, 171: 121066. DOI: 10.1016/j.ijheatmasstransfer.2021.121066.
[7] Hussam W K, Thompson M C, Sheard G J.Dynamics and heat transfer in a quasi-two-dimensional MHD flow past a circular cylinder in a duct at high Hartmann number[J]. International Journal of Heat and Mass Transfer, 2011, 54(5/6): 1091-1100. DOI: 10.1016/j.ijheatmasstransfer.2010.11.013.
[8] Bai H L, Alam M M.Dependence of square cylinder wake on Reynolds number[J]. Physics of Fluids, 2018, 30: 015102. DOI: 10.1063/1.4996945.
[9] Yuce M I, Kareem D A.A numerical analysis of fluid flow around circular and square cylinders[J]. Journal AWWA, 2016, 108(10): E546-E554. DOI: 10.5942/jawwa.2016.108.0141.
[10] Mashhadi A, Sohankar A, Alam M M.Flow over rectangular cylinder: Effects of cylinder aspect ratio and Reynolds number[J]. International Journal of Mechanical Sciences, 2021, 195: 106264. DOI: 10.1016/j.ijmecsci.2020.106264.
[11] Sommeria J, Moreau R.Why, how, and when, MHD turbulence becomes two-dimensional[J]. Journal of Fluid Mechanics, 1982, 118: 507-518. DOI: 10.1017/s0022112082001177.
[12] Farjallah H, Abbassi H, Turki S.Vortex Shedding of electrically conducting fluid flow behind square cylinder under magnetic field[J]. Engineering Applications of Computational Fluid Mechanics, 2011, 5(3): 349-356. DOI: 10.1080/19942060.2011.11015377.
[13] Farahi S, Hossein N.Investigation of magnetohydrodynamics flow and heat transfer in the presence of a confined square cylinder using SM82 equations[J]. Thermal Science, 2017, 21(2): 889-899. DOI: 10.2298/tsci140313048f.
[14] Chatterjee D, Gupta S K.MHD flow and heat transfer behind a square cylinder in a duct under strong axial magnetic field[J]. International Journal of Heat and Mass Transfer, 2015, 88: 1-13. DOI: 10.1016/j.ijheatmasstransfer.2015.04.053.
[15] Mück B, Günther C, Müller U, et al.Three-dimensional MHD flows in rectangular ducts with internal obstacles[J]. Journal of Fluid Mechanics, 2000, 418: 265-295. DOI: 10.1017/s0022112000001300.
[16] Xu H B, Li Y W, Zhang R D, et al.Numerical study of flow around a cold square cylinder at low Reynolds number under a strong transverse magnetic field[J]. International Journal of Heat and Mass Transfer, 2026, 256: 128123. DOI: 10.1016/j.ijheatmasstransfer.2025.128123.
[17] Frank M, Barleon L, Müller U.Visual analysis of two-dimensional magnetohydrodynamics[J]. Physics of Fluids, 2001, 13(8): 2287-2295. DOI: 10.1063/1.1383785.
[18] Zhang X F, Lyu Z, Yang J C, et al.Study on the liquid metal flow transitions behind a circular cylinder under the axial magnetic field[J]. Physics of Fluids, 2024, 36(7): 074115. DOI: 10.1063/5.0216804.
[19] Wang Z D, Zhang Q L, Kolesnikov Y B, et al.Experimental study on the effect of wall proximity on the flow around a cylinder under an axial magnetic field[J]. Journal of Fluid Mechanics, 2024, 1000: A23. DOI: 10.1017/jfm.2024.1028.
[20] 张祥飞, 阳倦成, 吕泽, 等. 金属流体速度的阵列探针测量方法研究[J]. 实验力学, 2023, 38(1): 37-46. DOI: 10.7520/1001-4888-22-072.
[21] Müller U, Bühler L.Magnetofluiddynamics in Channels and Containers[M/OL]. Berlin, Heidelberg: Springer Berlin Heidelberg, 2001. DOI: 10.1007/978-3-662-04405-6.
[22] Chen L, Pothérat A, Ni M J, et al.Direct numerical simulation of quasi-two-dimensional MHD turbulent shear flows[J]. Journal of Fluid Mechanics, 2021, 915: A130. DOI: 10.1017/jfm.2021.103.
[23] Rhoads J R, Edlund E M, Ji H T.Effects of magnetic field on the turbulent wake of a cylinder in free-surface magnetohydrodynamic channel flow[J]. Journal of Fluid Mechanics, 2014, 742: 446-465. DOI: 10.1017/jfm.2014.11.
[24] Zdrakovich M M.Flow around circular cylinders, volume 1: fundamentals[M]. Oxford: Oxford Science Publications, 1997. DOI: 10.1115/1.2819655.
[25] Williamson C K.Vortex dynamics in the cylinder wake[J]. Annual Review of Fluid Mechanics, 1996, 28: 477-539. DOI: 10.1146/annurev.fl.28.010196.002401.
