Vortex-induced oscillations at low Reynolds numbers: Hysteresis and vortex-shedding modes

Singh, Satya Prakash; Mittal, Sanjay

doi:10.1016/j.jfluidstructs.2005.05.011

Cited by 284 publications

(150 citation statements)

References 26 publications

(20 reference statements)

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“…One of them is the synchronization/lock-in of the vortex-shedding frequency to the oscillation frequency of the body over a range of Reynolds numbers. Another interesting 1065 numerical investigations by Singh and Mittal [9] is 5%. It is 6.25% for the study by Mittal and Tezduyar [18].…”

Section: Introductionmentioning

confidence: 92%

Effect of blockage on free vibration of a circular cylinder at low Re

Prasanth¹,

Mittal²

2008

Numerical Methods in Fluids

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SUMMARYThe effect of the blockage on vortex-induced vibrations of a circular cylinder of low non-dimensional mass (m * = 10) in the laminar flow regime is investigated in detail. A stabilized space-time finite element formulation is utilized to solve the incompressible flow equations in primitive variables form in two dimensions. The transverse response of the cylinder is found to be hysteretic at both ends of synchronization/lock-in region for 5% blockage. However, for the 1% blockage hysteresis occurs only at the higher Re end of synchronization/lock-in region. Computations are carried out at other blockages to understand its effect on the hysteretic behavior. The hysteresis loop at the lower Re end of the synchronization decreases with decrease in blockage and is completely eliminated for blockage of 2.5% and less. On the other hand, hysteresis persists for all values of blockage at the higher Re end of synchronization/lock-in. Although the peak transverse oscillation amplitude is found to be same for all blockage (∼ 0.6D), the peak value of the aerodynamic coefficients vary significantly with blockage. The r.m.s. values show lesser variation with blockage. The effect of streamwise extent of computational domain on hysteretic behavior is also studied. The phase between the lift force and transverse displacement shows a jump of almost 180 • at, approximately, the middle of the synchronization region. This jump is not hysteretic and is independent of blockage.

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Section: Introductionmentioning

confidence: 92%

Effect of blockage on free vibration of a circular cylinder at low Re

Prasanth¹,

Mittal²

2008

Numerical Methods in Fluids

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“…The vibration of an isolated elastically mounted circular cylinder in a freestream flow, constrained to oscillate in the cross-stream direction, is a canonical problem in fluid-structure interaction and a large volume of literature exists on the problem (Thompson, Hourigan & Sheridan 1996;Williamson & Govardhan 2004;Singh & Mittal 2005;Leontini, Thompson & Hourigan 2006). When the vortex shedding frequency from the cylinder is in the vicinity of the natural structural frequency of the cylinder, 'lock-in' or nonlinear synchronisation can occur, where the shedding frequency and the body oscillation frequency shift to exactly coincide.…”

Section: Introductionmentioning

confidence: 99%

Flow-induced vibration of two cylinders in tandem and staggered arrangements

et al. 2017

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OATAO is an open access repository that collects the work of Toulouse researchers and makes it freely available over the web where possible. A numerical study of the flow-induced vibration of two elastically mounted cylinders in tandem and staggered arrangements at Reynolds number Re = 200 is presented. The cylinder centres are set at a streamwise distance of 1.5 cylinder diameters, placing the rear cylinder in the near-wake region of the front cylinder for the tandem arrangement. The cross-stream or lateral offset is varied between 0 and 5 cylinder diameters. The two cylinders are identical, with the same elastic mounting, and constrained to oscillate only in the cross-flow direction. The variation of flow behaviours is examined for static cylinders and for elastic mountings of a range of spring stiffnesses, or reduced velocity. At least seven major modes of flow response are identified, delineated by whether the oscillation is effectively symmetric, and the strength of the influence of the flow through the gap between the two cylinders. Submodes of these are also identified based on whether or not the flow remains periodic. More subtle temporal behaviours, such as period doubling, quasi-periodicity and chaos, are also identified and mapped. Across all of these regimes, the amplitudes of vibration and the magnitude of the fluid forces are quantified. The modes identified span the parameter space between two important limiting cases: two static bodies at varying lateral offset; and two elastically mounted bodies in a tandem configuration at varying spring stiffnesses. Some similarity in the response of extremely stiff or static bodies and extremely slack bodies is shown. This is explained by the fact that the slack bodies are free to move to an equilibrium position and stop, effectively becoming a static system. However, the most complex behaviour appears between these limits, when the bodies are in reasonably close proximity, and the natural structural frequency is close to the vortex shedding frequency of a single cylinder. This appears to be driven by the interplay between a series of time scales, including the vortex formation time, the advection time across the gap between the cylinders and the oscillation period of both bodies. This points out an important difference between this multi-body system and the classic single-cylinder vortex-induced vibration: two bodies in close proximity will not oscillate in a synchronised, periodic manner when their natural structural frequencies are close to the nominal vortex shedding frequency of a single cylinder.

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“…2.8a, the normalized amplitude of oscillation A * for the cylinder undergoing non-rotating VIV is shown (which will be used as a basis to compare with), as well as the vorticity field at four selected values of the reduced velocity U * . As previously shown by Singh and Mittal (2005) and in Shiels et al (2001), and found also here, the response is composed of two branches, the initial and the lower branch, with a jump between them. The wake only shows a 2S mode with distinctively different wake patterns depending on A * .…”

Section: Flow Field and Fluid Forcessupporting

confidence: 88%

Optimal energy harvesting from vortex-induced and transverse galloping vibrations

Ludlam¹

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Vortex-induced oscillations at low Reynolds numbers: Hysteresis and vortex-shedding modes

Cited by 284 publications

References 26 publications

Effect of blockage on free vibration of a circular cylinder at low Re

Effect of blockage on free vibration of a circular cylinder at low Re

Flow-induced vibration of two cylinders in tandem and staggered arrangements

Optimal energy harvesting from vortex-induced and transverse galloping vibrations

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