Journal Menu
Last Edition

An investigation on fluid-structure interaction of two tandem rectangular cylinders


Mahdi Tabatabaei Malazi1


Muharrem Hilmi Aksoy2


 Abdulkerim Okbaz3,4

Department of Mechanical Engineering, Faculty of Engineering, Istanbul Aydin University, Istanbul 34295,
Department of Mechanical Engineering, Faculty of Engineering and Natural Sciences, Konya Technical
University, 42020, Konya, Türkiye
Department of Mechanical Engineering, Dogus University, 34775, Istanbul, Türkiye
4 School of Materials Science and Engineering, Georgia Institute of Technology, Atlanta, GA 30332, United

Received: 5 June 2023
Revised: 29 October 2023
Accepted: 13 November 2023
Published: 31 December 2023


This paper presents a numerical investigation of the three-dimensional flow field with deformations of two tandem rectangular cylinders. The one-way Fluid-Structure Interaction (FSI) method simulated the deformation domain. The Realizable k-ε turbulence model was utilized to model turbulent flow simulation in the three-dimensional flow domain. The hydrodynamic forces, deformations, and stresses were calculated for different spacing configurations between the rectangular cylinders. Structural steel was chosen for the rectangular cylinders, while water was chosen for the fluid domain. The flow inlet velocity was maintained at 5 m/s for all simulations, resulting in a corresponding Reynolds number of 5×105 based on free stream velocity and cylinder width. The numerical results demonstrated that the cylinder spacing significantly affected the cylinders’ deformation. The distance ratio between the two tandem rectangular cylinders to the cylinder height (x/H) was increased from 1 to 5. The front rectangular cylinder endured a higher pressure load than the rear rectangular cylinder, with the maximum deformation of the front cylinder found to be 7.15 mm. Due to the lower pressure on the rear rectangular cylinders, deformation varied between 0.98 mm and 6.02 mm as x/H changed from 1 to 5. This research provides valuable insights into the deformation behavior of tandem rectangular cylinders in three- dimensional flow fields.


Computational Fluid Dynamics, Fluid-Structure Interaction, tandem cylinders, turbulent flow


[1] H. Gotoh, A.Khayyer, Y. Shimizu, Entirely Lagrangian meshfree computational methods for hydroelastic fluid-structure interactions in ocean engineering-Reliability, adaptivity and generality. Applied Ocean Research, 115, 2021: 102822.
[2] D.T. Yaseen, M.A. Ismael, Analysis of power law fluid-structure interaction in an open trapezoidal cavity. International Journal of Mechanical Sciences, 174, 2020: 105481.
[3] U. Ali, M. Islam, I. Janajreh, Y. Fatt, M.M. Alam, Flow-induced vibrations of single and multiple heated circular cylinders: A review. Energies, 14(24), 2021: 8496.
[4] I. Goktepeli, U. Atmaca, A. Cakan, Investigation of heat transfer augmentation between the ribbed plates via Taguchi approach and computational fluid dynamics. Journal of Thermal Science, 29, 2020: 647-666.
[5] C. Zong, Q. Li, K. Li, X. Song, D. Chen, X. Li, X. Wang, Computational fluid dynamics analysis and extended adaptive hybrid functions model-based design optimization of an explosion-proof safety valve. Engineering Applications of Computational Fluid Mechanics, 16(1), 2022: 296-315.
[6] M. Tabatabaei Malazi, E.T. Eren, J. Luo, S. Mi, G. Temir, Three-dimensional fluid-structure interaction case study on elastic beam. Journal of Marine Science and Engineering, 8(9), 2020: 714.
[7] M. Amani-Beni, M. Tabatabaei Malazi, K. Dehghanian, L. Dehghanifarsani, Investigating the effects of wind loading on three dimensional tree models using numerical simulation with implications for urban design. Scientific Reports, 13, 2023: 7277.
[8] Q. Zhang, X.-L. Zhou, J.-H. Wang, Numerical investigation of local scour around three adjacent piles with different arrangements under current. Ocean Engineering, 142, 2017: 625-638.
[9] A. Vargas-Luna, A. Crosato, G. Calvani, W.S.J. Uijttewaal, Representing plants as rigid cylinders in experiments and models. Advances in Water Resources, 93, 2016: 205-222.
[10] J.-t. Zhang, X.-h. Su, Numerical model for flow motion with vegetation. Journal of Hydrodynamics, 20, 2008: 172-178.
[11] C. Baykal, B.M. Sumer, D.R. Fuhrman, N.G. Jacobsen, J. Fredsøe, Numerical simulation of scour and backfilling processes around a circular pile in waves. Coastal Engineering, 122, 2017: 87-107.
[12] L. De Moerloose, P. Aerts, J. De Ridder, J. Vierendeels, J. Degroote, Numerical investigation of large-scale vortices in an array of cylinders in axial flow. Journal of Fluids and Structures, 78, 2018: 277-298.
[13] L.-h. Wu, X.-l. Yang, Influence of bending rigidity of submerged vegetation on local flow resistance. Journal of Hydrodynamics, 26, 2014: 242-249.
[14] X.-g. Liu, Y.-h. Zeng, Drag Coefficient for Rigid Vegetation in Subcritical Open Channel. Procedia Engineering, 154, 2016: 1124-1131.
[15] V. Kitsikoudis, O. Yagci, V.S.O. Kirca, D. Kellecioglu, Experimental investigation of channel flow through idealized isolated tree-like vegetation. Environmental Fluid Mechanics, 16, 2016: 1283-1308.
[16] Z.G. Liu, Y. Liu, J. Lu, Fluid-structure interaction of single flexible cylinder in axial flow. Computers & Fluids, 56, 2012: 143-151.
[17] A.O. Busari, C.W. Li, Bulk drag of a regular array of emergent blade-type vegetation stems under gradually varied flow. Journal of Hydro-environment Research, 12, 2016: 59-69.
[18] S. Rockel, J. Peinke, M. Hölling, R.B. Cal, Wake to wake interaction of floating wind turbine models in free pitch motion: An eddy viscosity and mixing length approach. Renewable Energy, 85, 2016: 666-676.
[19] O. Babayigit, M. Ozgoren, M.H. Aksoy, O. Kocaaslan, Experimental and CFD investigation of a multistage centrifugal pump including leakages and balance holes. Desalination and Water Treatment, 67(3), 2017: 28-40.
[20] E. Canli, A. Ateş, Ş. Bilir, Derivation of dimensionless governing equations for axisymmetric incompressible turbulent flow heat transfer based on standard k-ϵ model. Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi, 20(6), 2020: 1096-1111.
[21] E. Canli, A. Ateş, Ş. Bilir, Developing turbulent flow in pipes and analysis of entrance region. Academic Platform-Journal of Engineering and Science, 9(2), 2021: 332-353.
[22] S. Yagmur, S. Dogan, M.H. Aksoy, I. Goktepeli, Turbulence modeling approaches on unsteady flow structures around a semi-circular cylinder. Ocean Engineering, 200, 2020: 107051.
[23] M.H. Aksoy, S. Yagmur, S. Dogan, CFD Modelling of Industrial Air Curtains with Heating Unit. EPJ Web of Conferences EDP Sciences, 213, 2019: 02001.
[24] ANSYS Fluent Theory Guide. ANSYS Inc., Canonsburg, USA, 2017, 724-746.
[25] A.B. Olcay, M. Tabatabaei Malazi, The effects of a longfin inshore squid’s fins on propulsive efficiency during underwater swimming. Ocean Engineering, 128, 2016: 173-182.

© 2023 by the authors. This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0)

Volume 8
Number 4
December 2023

Last Edition

Volume 8
Number 2

How to Cite

M.T. Malazi, M.H. Aksoy, A. Okbaz, An Investigation on Fluid-Structure Interaction of Two Tandem Rectangular Cylinders. Applied Engineering Letters, 8(4), 2023: 158-166.

More Citation Formats