Formation of the Secondary Vortex Street in the Wake of a Circular Cylinder

Matsui, Tatsuya; Okude, Muneshige

doi:10.1007/978-3-642-81991-9_16

Cited by 30 publications

(33 citation statements)

References 6 publications

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“…Matsui & Okude (1983) made forced experiments showing the merging of two or three vortices depending on the forcing frequency. These vortex merging ideas were supported by theoretical and numerical work by Aref & Siggia (1981) and Meiburg (1987).…”

Section: Effect Of the Confinementmentioning

confidence: 99%

Spatio-temporal stability of the Kármán vortex street and the effect of confinement

2016

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The instability of the Kármán vortex street is revisited under a spatio-temporal perspective that allows the taking into account of the advection of the vortices by the external flow. We analyse a simplified point vortex model and show through numerical simulations of its linear impulse response that the system becomes convectively unstable above a certain critical advection velocity. This critical velocity decreases as the aspect ratio approaches its specific value for temporal stability, and increases with the confinement induced by lateral walls. In the limiting unconfined case, direct application of the Briggs-Bers criterion to the dispersion relation gives results in excellent agreement with the numerical simulations. Finally, a direct numerical simulation of the Re = 100 flow past a confined cylinder is performed, and the actual advection velocity of the resulting vortex street is found to be much larger than the critical advection velocity for convective instability given by our model. The Kármán vortex street is therefore strongly convectively unstable.

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Section: Effect Of the Confinementmentioning

confidence: 99%

Spatio-temporal stability of the Kármán vortex street and the effect of confinement

2016

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“…the parallel shedding of vortices from the cylinder. Matsui and Okude (1983) and Cimbala (1984) find the appearance of subharrnonic frequencies without external influence in the far wake of a circular cylinder. At some defined Reynolds numbers, in the range of 36 < Re < 170, Sreenivasan (1985) observes a Ruelle-Takens-Newhouse-route to chaos of vortex streets.…”

Section: (X) Beating Stringmentioning

confidence: 99%

“…He finds a shift of the vortex shedding to the sound frequency and a correlation of the vortex shedding along the cylinder span. Matsui and Okude (1983) observe the coalescence of two or three vortices in the far wake forming a secondary vortex street, if they excite the wake with sound. Cylinders in oscillatory flow are reviewed by Bearman and Graham (1980).…”

Section: Introductionmentioning

confidence: 98%

Phenomenology of Kármán vortex streets in oscillatory flow

Detemple-Laake¹,

Eckelmann²

1989

Experiments in Fluids

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Abstract. Vortex wakes of circular cylinders at low Reynolds numbers have bee n investigated. Sound waves are superimposed on the flow in mean flow direction. In this configuration the ICdtrmhn vortices are shed at the sound frequency or at subharmonics of the sound frequency. The K~rm~n vortex street is treated as a nonlinear self-excited flow oscillator with forced oscillations. Using a flow visualization technique a variety of wake structures has been identified as a function of sound frequency and sound amplitude, but independent of the Reynolds number. The superimposed sound influences the distribution of circulation and accordingly the shedding mechanism. Primary vortex and secondary vortex are shed simultaneously from one side of the cylinder. The alternate vortex shedding is arranged spatially and temporally. Structures along the vortex axes are revealed.

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“…Many researchers reported computational and experimental studies of 3D behavior behind a circular cylinder (see for example [1][2][3][4][5][6]). The unsteady behavior at far downstream, including the second phase of the Karman vortex shedding, was particularly emphasized first in [1], followed by [2][3][4].…”

Section: Introductionmentioning

confidence: 99%

3D simulation and visualization of unsteady wake flow behind a cylinder

Osawa

Tezduyar

1999

J Vis

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In this paper we focus on 3D simulation of unsteady wake flow behind a circular cylinder.We show that in addition to accurate formulations and sufficiently-refined meshes, efficient computing methods are essential components of an effective simulation strategy. We use the Multi-Domain Method (MDM) we developed recently in computation of two cases. At Reynolds number 300, we demonstrate how the MDM enables us to use highly-refined meshes to capture wake patterns which we otherwise cannot fully represent. At Reynolds number 140, we show that with the MDM we can extend our computations sufficiently downstream, and with sufficient accuracy, to successfully capture the second phase of the Karman vortex street, which has been observed in laboratory experiments, and which has double the spacing between the vortices compared to the first phase.

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Formation of the Secondary Vortex Street in the Wake of a Circular Cylinder

Cited by 30 publications

References 6 publications

Spatio-temporal stability of the Kármán vortex street and the effect of confinement

Spatio-temporal stability of the Kármán vortex street and the effect of confinement

Phenomenology of Kármán vortex streets in oscillatory flow

3D simulation and visualization of unsteady wake flow behind a cylinder

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