Sub-harmonic wake-induced vibration of five tandem circular cylinders at low Reynolds number of 100

• Published in: Theoretical and computational fluid dynamics Vol. 36; no. 4; pp. 671 - 687
• Main Authors: Sun, Xu, Suh, Steve, Ye, Ze-Hua, Zhang, Yi-Xin
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.08.2022; Springer; Springer Nature B.V
• Subjects: Circular cylinders; Classical and Continuum Physics; Computation; Computational Science and Engineering; Cylinders; Cylindrical structures; Diameters; Dynamic response; Engineering; Engineering Fluid Dynamics; Finite element method; Flow generated vibrations; Fluid dynamics; Fluid flow; Fluid-structure interaction; Laminar flow; Mathematical models; Original Article; Physics; Reynolds number; Uniform flow; Vibration; Vibration analysis; China; Lock-in; Flow-induced vibration; Five tandem cylinders; Laminar flow; Flow interference
• ISSN: 0935-4964; 1432-2250
• DOI: 10.1007/s00162-022-00615-0

Dynamic response characteristics of five tandem circular cylinders in laminar uniform flow are studied numerically by fluid–structure interaction (FSI) computation. The Reynolds number of the incoming flow is fixed at Re = 100 . The five cylinders are elastically mounted in both transverse and streamwise directions with an even center-to-center distance of 4, 6 and 8 times of the cylinder diameter. The non-dimensional mass of each cylinder is m ∗ = 5 , 10 and 15, while the reduced velocity varies in the range of U r = 2–18. An FSI solver based on a modified characteristic-based split finite element method is developed for computation, and its accuracy is validated by evaluating the flow around five stationary circular cylinder and flow-induced vibrations (FIVs) of the one-cylinder and two-tandem-cylinder models against benchmark solutions. By numerical experiments, dynamic behaviors of five tandem cylinders as well as the underlying mechanisms are investigated by analyzing the generated vibration amplitude, frequency, fluid load and vortex pattern in the flow field. Sub-harmonic wake-induced vibration that has not been revealed by the existing two-cylinder and three-cylinder models is observed, and the underlying physics is discussed in detail. The results obtained are insightful into the understanding and control of FIVs of an array of cylindrical structures encountered frequently in various engineering applications. Graphical abstract