Vortex-induced vibration of four cylinders in an in-line square configuration

Zhao, Ming; Kaja, Kalyani; Xiang, Yang; Cheng, Liang

doi:10.1063/1.4941774

Cited by 26 publications

(10 citation statements)

References 56 publications

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“…Significant complicated aerodynamic interference effects were observed between three cylinders. Several other literatures related to three or more cylinders are also published [13][14][15][16][17][18][19]. To conclude, all the above researches showed that the flow patterns and force characteristics are the results of the combined effect of Re, spacing distance, configuration arrangement, and incident angle.…”

Section: Introductionmentioning

confidence: 86%

Spectral Element Numerical Investigation of Flow between Three Cylinders in an Equilateral‐Triangular Arrangement with Different Spacing Distances

Bao

Qin

et al. 2018

Shock and Vibration

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Two-dimensional incompressible Navier-Stokes equations are numerically solved using the high resolution spectral element method at Reynolds number 200. The flow between three cylinders in an equilateral-triangular arrangement is investigated. The center-to-center spacing distance ratio between two circular cylinders is varied from 1.5 to 12. Present numerical results show that the flow patterns and force characteristics are the result of the combined effects of Reynolds number, spacing distance, configuration arrangement, and incident angle. For the small spacing distance ratio of 1.5, the well-known biased flow phenomenon in the gap of downstream cylinders is found. And the biased flow is bistable in our study but not monostable. A small spacing distance means lower Strouhal number, drag, and root-mean-square lift coefficients. In the medium spacing distance ratio of 4.0, the suppressed effect of vortex shedding for the presence of the side-by-side downstream cylinders disappeared. Mean drag coefficients of downstream cylinders are basically identical to the value of flow past around a single circular cylinder. For the large spacing distance ratio of 8.0, the effects between three cylinders basically disappeared. The mean drag and lift coefficients, root-mean-square lift coefficients, and Strouhal number of three cylinders are essentially equivalent to those values of a single circular cylinder.

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Section: Introductionmentioning

confidence: 86%

Spectral Element Numerical Investigation of Flow between Three Cylinders in an Equilateral‐Triangular Arrangement with Different Spacing Distances

Bao

Qin

et al. 2018

Shock and Vibration

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“…The PG-FEM numerical model and computational code developed by Zhao et al [24] has been used to simulate the dynamic responses of four square cylinders. It has been demonstrated that this numerical model is capable of simulating the VIV of a square cylinder [20], the galloping response of rectangular cylinders [21,22], the wake-induced vibrations of two tandem cylinders [28], and the VIV of four rigidly connected circular cylinders [29,30]. The capability of the numerical model has been validated in [16,[31][32][33] and will not be repeated here.…”

Section: Mesh Dependence Studymentioning

confidence: 99%

“…In addition, numerical simulations of VIV of four separately mounted circular cylinders in an in-line square configuration were conducted in our previous study [30], adopting the same numerical model as used in this study. The sizes of the computational domain, upstream, downstream distances and the time step in the present study are similar to those used in [30] for the case of the center-to-center distance L/D = 4, where D is the diameter of the circular cylinder. At the same time, the total numbers of the nodes and elements in the present study are larger than those used in [30].…”

Section: Mesh Dependence Studymentioning

confidence: 99%

“…The sizes of the computational domain, upstream, downstream distances and the time step in the present study are similar to those used in [30] for the case of the center-to-center distance L/D = 4, where D is the diameter of the circular cylinder. At the same time, the total numbers of the nodes and elements in the present study are larger than those used in [30]. Hence, it is believed that the numerical results in the present study will not be sensitive to the computational mesh.…”

Section: Mesh Dependence Studymentioning

confidence: 99%

“…Effect of center-to-center distance on galloping for α = 2.5 • . It has been found that the center-to-center distance (L) has a significant effect on the VIV response of four circular cylinders in an inline square arrangement [30]. This section mainly focuses on the effect of L on the dynamic response.…”

Section: 2mentioning

confidence: 99%

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Fluid-structureinteraction of four rigidly-connected square cylinders in steady flow

Tang¹,

Duan²,

Lu³

et al. 2019

JCAM

Self Cite

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Dynamic responses of four rigidly-connected square cylinders in a square configuration subjected to two-dimensional steady flow of a constant property Newtonian fluid were investigated numerically. The focus of the present study is to investigate the effects of the angle of attack α on the dynamic responses by varying α from 0 • to 15 • in intervals of 2.5 • at a fixed L = 4 (L is the non-dimensional center-to-center distance between two adjacent square cylinders, normalized by the side length of the square cylinder B). For each α, the reduced velocity (Vr) ranges from 1 to 40. The Reynolds number Re, mass ratio m * and structural damping ratio ζ maintain constants of 180, 10 and 0, respectively. Numerical results show that the angle of attack α has a significant influence on the dynamic response. When α ≤ 5 • , galloping occurs in addition to vortex-induced vibration (VIV), while it weakens for α = 7.5 • and 10 • , and finally disappears as α = 12.5 • and 15 • , leaving only VIV response. The effects of L on the responses of the four-square-cylinder oscillating system were also examined for Re = 180, Vr = 40, and α = 2.5 •. Numerical results show that L affects not only the response displacement but also the vortex shedding mode. Galloping with large response amplitude can happen at either large L = 4 or small L = 1.5 and 2. The response amplitude is relatively small as 2.5 ≤ L ≤ 3.5 due to the influence of the flow in the gap between the square cylinders. For the particular case of L = 3.5, a combined vortex shedding mode is identified, where the vortex shedding from the top row square cylinders behaves as that from an elongated single body while the vortex shedding from the bottom row cylinders presents a co-shedding mode.

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Flow-Induced Vibration of Four Cantilever Cylinders Arranged in A Square Configuration

2021

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Vortex-induced vibration of four cylinders in an in-line square configuration

Cited by 26 publications

References 56 publications

Spectral Element Numerical Investigation of Flow between Three Cylinders in an Equilateral‐Triangular Arrangement with Different Spacing Distances

Spectral Element Numerical Investigation of Flow between Three Cylinders in an Equilateral‐Triangular Arrangement with Different Spacing Distances

Fluid-structureinteraction of four rigidly-connected square cylinders in steady flow

Flow-Induced Vibration of Four Cantilever Cylinders Arranged in A Square Configuration

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