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Numerical study on fluid-structure interaction of a cylinder-flexible thin beam under an axial magnetic field

  • Qilong ZHANG ,
  • Jie WANG ,
  • Nianmei ZHANG
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  • School of Engineering Science,University of Chinese Academy of Sciences,Beijing 101408,China

Received date: 2025-03-10

  Revised date: 2025-04-29

  Online published: 2025-05-26

Abstract

This paper conducts a numerical study on the problem of flow-induced vibration under an axial magnetic field. The finite element method is used to simulate the velocity field of the metal fluid under the combined effects of the magnetic field and the vibration of a cylinder-flexible beam. This research analyzes the influence of magnetic field intensity and flexible beam length on the amplitude, vibration frequency of the flexible beam, and the flow characteristics of the flow field. The results indicate that the flexible beam undergoes periodic vibrations due to vortex shedding effects, and the dominant vibration mode exhibits a close resemblance to the first-order natural mode of an Euler-Bernoulli beam. As the magnetic field intensity increases, the unsteady flow in the flow field is suppressed, resulting in a decrease in the amplitude of the flexible beam. Increasing the length of the flexible beam decreases the vibration frequency, while the amplitude shows a nonlinear relationship that first increases and then decreases. Regarding the vortex shedding characteristics of the flow field, an increase in magnetic field intensity promotes vortex dissipation, and reduces the frequency of vortex shedding. Additionally, the longer the flexible beam, the greater the energy dissipation during its interaction with the cylinder shear layer, which significantly changes the vortex shedding pattern; the critical Hartmann number for the transition from vortex shedding flow to steady flow decreases with the increase in the flexible beam length.

Cite this article

Qilong ZHANG , Jie WANG , Nianmei ZHANG . Numerical study on fluid-structure interaction of a cylinder-flexible thin beam under an axial magnetic field[J]. Journal of University of Chinese Academy of Sciences, 2026 , 43(5) : 694 -705 . DOI: 10.7523/j.ucas.2025.029

References

[1] Kern S, Koumoutsakos P. Simulations of optimized anguilliform swimming[J]. Journal of Experimental Biology2006209(Pt 24): 4841-4857. DOI: 10.1242/jeb.02526 .
[2] Tian F B, Dai H, Luo H X, et al. Fluid-structure interaction involving large deformations: 3D simulations and applications to biological systems[J]. Journal of Computational Physics2014258: 451-469. DOI: 10.1016/j.jcp.2013.10.047 .
[3] Apelt C J, West G S, Szewczyk A A. The effects of wake splitter plates on the flow past a circular cylinder in the range 104 < R < 5 × 104 [J]. Journal of Fluid Mechanics197361(1): 187-198. DOI: 10.1017/s0022112073000649 .
[4] Apelt C J, West G S. The effects of wake splitter plates on bluff-body flow in the range 104 < R < 5 × 104. Part 2[J]. Journal of Fluid Mechanics197571(1): 145-160. DOI: 10.1017/s0022112075002479 .
[5] Hu Y, Wang J J. The effects of attached flexible tail length on the flow structure of an oscillating cylinder[J]. Science China Physics, Mechanics and Astronomy201356(2): 340-352. DOI: 10.1007/s11433-013-5014-8 .
[6] Hu Y, Pan C, Wang J J. Vortex structure for flow over a heaving cylinder with a flexible tail[J]. Experiments in Fluids201455(2): 1682. DOI: 10.1007/s00348-014-1682-z .
[7] Sharma K R, Dutta S. Flow control over a square cylinder using attached rigid and flexible splitter plate at intermediate flow regime[J]. Physics of Fluids202032(1): 014104. DOI: 10.1063/1.5127905 .
[8] Shen P P, Lin L M, Wei Y K, et al. Vortex shedding characteristics around a circular cylinder with flexible film[J]. European Journal of Mechanics - B/Fluids201977: 201-210. DOI: 10.1016/j.euromechflu.2019.05.008 .
[9] Sunil P, Kumar S, Poddar K. Flow past a rotationally oscillating cylinder with an attached flexible filament[J]. Journal of Fluid Mechanics2022930: A3. DOI: 10.1017/jfm.2021.894 .
[10] Yayla S, Teksin S. Flow measurement around a cylindrical body by attaching flexible plate: a PIV approach[J]. Flow Measurement and Instrumentation201862: 56-65. DOI: 10.1016/j.flowmeasinst.2018.05.003 .
[11] De Nayer G, Kalmbach A, Breuer M, et al. Flow past a cylinder with a flexible splitter plate: a complementary experimental-numerical investigation and a new FSI test case (FSI-PfS-1a)[J]. Computers & Fluids201499: 18-43. DOI: 10.1016/j.compfluid.2014.04.020 .
[12] Cui G P, Feng L H. Suppression of vortex-induced vibration of a circular cylinder by a finite-span flexible splitter plate[J]. Physical Review Fluids20227(2): 024708. DOI: 10.1103/physrevfluids.7.024708 .
[13] Shi S X, New T H, Liu Y Z. Flapping dynamics of a low aspect-ratio energy-harvesting membrane immersed in a square cylinder wake[J]. Experimental Thermal and Fluid Science201346: 151-161. DOI: 10.1016/j.expthermflusci.2012.12.007 .
[14] Shukla S, Govardhan R N, Arakeri J H. Dynamics of a flexible splitter plate in the wake of a circular cylinder[J]. Journal of Fluids and Structures201341: 127-134. DOI: 10.1016/j.jfluidstructs.2013.03.002 .
[15] Saiz G G, Sciacchitano A, Scarano F. On the wake dynamics of a cylinder with flexible splitter plate[J]. Proceedings of the International Symposium on the Application of Laser and Imaging Techniques to Fluid Mechanics202220: 1-23. DOI: 10.55037/lxlaser.20th.180 .
[16] Sarrate J, Huerta A, Donea J. Arbitrary Lagrangian-Eulerian formulation for fluid-rigid body interaction[J]. Computer Methods in Applied Mechanics and Engineering2001190(24): 3171-3188. DOI:10.1016/s0045-7825(00)00387-x .
[17] Peskin C S. The immersed boundary method[J]. Acta Numerica200211: 479-517. DOI: 10.1017/s0962492902000077 .
[18] Patera A T. A spectral element method for fluid dynamics: laminar flow in a channel expansion[J]. Journal of Computational Physics198454(3): 468-488. DOI: 10.1016/0021-9991(84)90128-1 .
[19] Abdi R, Rezazadeh N, Abdi M. Investigation of passive oscillations of flexible splitter plates attached to a circular cylinder[J]. Journal of Fluids and Structures201984: 302-317. DOI: 10.1016/j.jfluidstructs.2018.11.001 .
[20] Wu J, Qiu Y L, Shu C, et al. Flow control of a circular cylinder by using an attached flexible filament[J]. Physics of Fluids201426(10): 103601. DOI: 10.1063/1.4896942 .
[21] Pfister J L, Marquet O. Fluid-structure stability analyses and nonlinear dynamics of flexible splitter plates interacting with a circular cylinder flow[J]. Journal of Fluid Mechanics2020896: A24. DOI: 10.1017/jfm.2020.284 .
[22] Furquan M, Mittal S. Multiple lock-ins in vortex-induced vibration of a filament[J]. Journal of Fluid Mechanics2021916: R1. DOI: 10.1017/jfm.2021.209 .
[23] Mao Q, Liu Y Z, Sung H J. Drag reduction by flapping a flexible filament behind a stationary cylinder[J]. Physics of Fluids202234(8): 087123. DOI: 10.1063/5.0101446 .
[24] Lee J M, You D. Study of vortex-shedding-induced vibration of a flexible splitter plate behind a cylinder[J]. Physics of Fluids201325(11): 110811. DOI: 10.1063/1.4819346 .
[25] Zhu H J, Chen Q Y, Tang T, et al. Flow-induced response and wake characteristics of a flexible splitter plate attached to a circular cylinder in laminar flow[J]. Physics of Fluids202335(12): 123603. DOI: 10.1063/5.0180616 .
[26] Soti A K, Bhardwaj R, Sheridan J. Flow-induced deformation of a flexible thin structure as manifestation of heat transfer enhancement[J]. International Journal of Heat and Mass Transfer201584: 1070-1081. DOI: 10.1016/j.ijheatmasstransfer.2015.01.048 .
[27] Aldoss T K, Ali Y D, Al-Nimr M A. Mhd mixed convection from a horizontal circular cylinder[J]. Numerical Heat Transfer, Part A: Applications199630(4): 379-396. DOI: 10.1080/10407789608913846 .
[28] 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 Transfer201154(5/6): 1091-1100. DOI: 10.1016/j.ijheatmasstransfer.2010.11.013 .
[29] Kolesnikov Y B, Tsinober A B. Experimental investigation of two-dimensional turbulence behind a grid[J]. Fluid Dynamics19769(4): 621-624. DOI:10.1007/bf01031323 .
[30] Frank M, Barleon L, Müller U. Visual analysis of two-dimensional magnetohydrodynamics[J]. Physics of Fluids200113(8): 2287-2295. DOI: 10.1063/1.1383785 .
[31] 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 Mechanics2014742: 446-465. DOI: 10.1017/jfm.2014.11 .
[32] Dousset V, Pothérat A. Numerical simulations of a cylinder wake under a strong axial magnetic field[J]. Physics of Fluids200820(1): 017104. DOI: 10.1063/1.2831153 .
[33] Mück B, Günther C, Müller U, et al. Three-dimensional MHD flows in rectangular ducts with internal obstacles[J]. Journal of Fluid Mechanics2000418: 265-295. DOI: 10.1017/s0022112000001300 .
[34] Hussam W K, Sheard G J. Heat transfer in a high Hartmann number MHD duct flow with a circular cylinder placed near the heated side-wall[J]. International Journal of Heat and Mass Transfer201367: 944-954. DOI: 10.1016/j.ijheatmasstransfer.2013.08.081 .
[35] Sommeria J, Moreau R. Why, how, and when, MHD turbulence becomes two-dimensional[J]. Journal of Fluid Mechanics1982118: 507. DOI: 10.1017/s0022112082001177 .
[36] Turek S, Hron J. Proposal for numerical benchmarking of fluid-structure interaction between an elastic object and laminar incompressible flow[C]// Fluid-Structure Interaction. Berlin, Heidelberg: Springer Berlin Heidelberg, 2006: 371-385. DOI: 10.1007/3-540-34596-5_15 .
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