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Influence of Cross-Sectional Configuration on Kármán Vortex Excitation

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Modelling Fluid Flow

Abstract

Three cylindrical bodies with different cross sectional configurations, i.e. a circular, semi-circular and triangular cylinder, are used as the test cylinders, in order to investigate the influence of movement of separation point on the Kármán vortex excitation. The cylinders were supported elastically by plate springs. The synchronization of Kármán vortex shedding occurs on all three cylinders over almost equal ranges of oscillation amplitude and frequency given by the mechanical oscillator. However, the Kármán vortex excitation behavior differs drastically among the three cylinders in spite that the cylinders are supported elastically with virtually equal structure parameters.

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Abbreviations

A :

Oscillation amplitude of the cylinder, = \(\sqrt 2 \) Zrms

C L0 :

Lift coefficient of the stationary cylinder

C LR :

Lift coefficient of the oscillating cylinder due to the Kármán vortex excitation

d :

Characteristic length, i.e. the cylinder height, see Table 1

F L :

Lift force

f c :

Oscillation frequency of the cylinder

f v :

Kármán vortex shedding frequency

f v0 :

Kármán vortex shedding frequency for the stationary cylinder

m e :

Effective mass

Re :

Reynolds number, = Ud/v

U :

Free stream velocity

U 0 :

Free stream velocity at which f v0 is equal to f c

U Amax :

Free stream velocity at which A due to Kármán vortex excitation is the maximum

u :

Velocity fluctuation in the near wake of the cylinder

Z :

Cylinder displacement

δ:

Logarithmic damping factor

ø uZ :

Phase difference between u and Z

ρ:

Density of air

σø :

Standard deviation of ø uz

References

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© 2004 Springer-Verlag Berlin Heidelberg

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Koide, M., Takahashi, T., Shirakashi, M. (2004). Influence of Cross-Sectional Configuration on Kármán Vortex Excitation. In: Vad, J., Lajos, T., Schilling, R. (eds) Modelling Fluid Flow. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-08797-8_13

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  • DOI: https://doi.org/10.1007/978-3-662-08797-8_13

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-06034-2

  • Online ISBN: 978-3-662-08797-8

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