The flow-induced vibration of a single flexible cylinder in a rotated square array of rigid cylinders with pitch-to-diameter ratio of 2·12

Price, S.J.; Paı̈doussis, M.P.; Macdonald, Roderick A.; Mark, B.

doi:10.1016/0889-9746(87)90271-4

Cited by 43 publications

(21 citation statements)

References 6 publications

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“…The presence of a third shedding frequency can be attributed to a non-linear interaction between the other two frequencies. This explains the behaviour reported by Price et al (1987).…”

Section: Introductionsupporting

confidence: 85%

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Fast numerical simulation of vortex shedding in tube arrays using a discrete vortex method

Sweeney

Meskell

2003

Journal of Fluids and Structures

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Vortex shedding may occur in tube arrays, resulting in strong excitation forces at discrete frequencies. In the past the Strouhal numbers governing vortex shedding in these systems were determined primarily by experiment. This paper presents a computationally inexpensive method of numerical simulation for the unsteady flow through a rigid normal triangular tube array which determines both the frequency of vortex shedding and the instantaneous flow structure. The technique used is based on a discrete vortex method similar to the cloud-in-cell approach which has been applied to flow problems for small numbers of cylinders. However, in the current implementation the flow velocity calculation is carried out on an unstructured grid using a finite element discretization. Thus, the complex geometry associated with a tube array can be easily accommodated. The method, referred to as the "Cloud-in-element" method, is validated for the standard case of flow over a single cylinder and then applied to flow through a normal triangular array with a pitch-to-diameter of 1.6. The Reynolds number is 2200. The Stouhal number obtained from the numerical simulation is 1.27, which is within 6% of the value available in the literature. Qualitatively, the vortex shedding pattern obtained is in agreement with published flow visualization.

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“…The presence of a third shedding frequency can be attributed to a non-linear interaction between the other two frequencies. This explains the behaviour reported by Price et al (1987).…”

Section: Introductionsupporting

confidence: 85%

“…Paidoussis et al (1988) found two Strouhal numbers for a rotated square array, P d = 1.5. Price et al (1987) report three Strouhal numbers, but note that only one Strouhal number persists beyond the fourth row.…”

Section: Introductionmentioning

confidence: 99%

Fast numerical simulation of vortex shedding in tube arrays using a discrete vortex method

Sweeney

Meskell

2003

Journal of Fluids and Structures

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“…With streamwise frequency twice the crosswise frequency, Sh based on a wake value of u is anisotropic. Several experimental workers (Chen 1978;Fitzpatrick 1986;Price et al 1987;Ziada et al 1989Ziada et al , 1992 have noted the existence of multiple Sh. It is interesting to speculate on the existence of higher harmonics, interference e!ects or beats, and the in#uence of the erratic pressure #uctuations on the generation of random freestream turbulence.…”

Section: Pressure Distributionmentioning

confidence: 99%

A Numerical Study of Unsteady Fluid Flow in in-Line and Staggered Tube Banks

Beale

Spalding

1999

Journal of Fluids and Structures

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This paper is concerned with the results of numerical calculations for transient #ow in in-linesquare and rotated-square tube banks with a pitch-to-diameter ratio of 2 : 1, in the Reynolds number range of 30}3000. Transient-periodic behaviour is induced by the consideration of two or more modules, with a sinusoidal span-wise perturbation being applied in the upstream module. There is a triode-like e!ect, whereby the downstream response to the stimulus is ampli"ed, and there is a net gain in the crosswise #ow component. When an appropriate feedback mechanism is provided, a stable transient behaviour is obtained, with alternate vortices being shed from each cylinder. Flow visualization studies of the results of the calculations are presented together with quantitative details of pressure drop, lift, drag and heat transfer. For the staggered bank, a wake-switching or Coanda e!ect was observed as the serpentine-shaped wake attached to alternate sides of the downstream cylinder. The induced response is independent of the amplitude and frequency of the applied disturbance, including the case of spontaneous behaviour with no excitation mechanism. For the in-line case where each cylinder is in the shadow of the previous one, the motion is less pronounced; however, a shear-layer instability associated with the alternating spin of shed vortices was observed. In this case, the response was found to be somewhat dependent on the frequency of the applied disturbance, and a transient motion could not be induced spontaneously in the absence of an explicit feedback mechanism. Calculated Strouhal numbers were in fair agreement with experimental data: for the staggered geometry, they had values of between 0)26 and 0)35, or from !21 to #6% higher than measured values, while for the in-line geometry, the Strouhal numbers ranged between 0)09 and 0)12, or about 20}40% lower than experimental values.1999 National Research Council of Canada

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“…It is only after a few rows downstream that the flow stabilizes, turbulence reaches a maximum and the measured results become row independent. This was for example found in experiments by Price et al [201] where up to three frequency peaks, inter-related with ratios 1:2:3, could be identified in the upstream rows of a staggered tube array while only one frequency peak remained in the downstream rows. Experiments by Weaver et al [274] yield similar results with two narrow band peaks at 3.7 Hz and 5.8 Hz until the third row of a staggered tube array and only the lower frequency peak persisting in subsequent rows.…”

Section: Analysis Of 2d Aerodynamic Pressuresmentioning

confidence: 53%

“…It is generally accepted that flow-induced, or more specifically wind-induced vibrations can be caused by three different excitation mechanisms [28,190,201,268,274] that are discussed in the following: vortex-induced vibrations (section 2.3.1), buffeting (section 2.3.2) and fluidelastic instability (FEI) or aeroelastic instability (AEI, section 2.3.3). It must be noted that the same terminology is sometimes used in different fields of research to classify different physical phenomena and vice versa.…”

Section: Excitation Mechanisms Of Wind-induced Vibrationsmentioning

confidence: 99%