Statistical Characteristics of the Turbulent Wake Behind an Intersecting Cruciform Circular Cylinder

  • Hideo Osaka
  • Hidemi Yamada
  • Ikuo Nakamura
Conference paper


In order to clarify the periodic structure in the near field and the turbulent eddy structure in the far field of the intersecting cruciform circular cylinder wake, the detailed measurements have been performed on the statistical characteristics such as one-point and two-point time correlations, power spectra, triple velocity correlations and probability density profiles.

The experimental results are summarized as follows: The quasi-periodicity of the fluctuating velocity appears to different degrees at the different locations in the cross section of the near wake field, and is not found at the wake center. The turbulent large eddy structure conjectured from the contours of the space-time correlation is markedly different at each location in the cross section, and its decay rate is also slower at the center of the quasi-two-dimensional region than at the wake center. The magnitude of triple velocity correlation profiles on the bisector has the same order as that of the two-dimensional wake, but some of the shapes are significantly different.


Dissipation Scale Cylinder Axis Integral Length Scale Turbulent Wake Fluctuate Velocity Component 
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Distance in the streamwise direction from the origin of the cruciform circular cylinder, Fig. 1

y, z

Distances along two cylinder axes from the origin respectively, Fig. 1

y′, z

Distances along the bisector of y = z and normal to the bisector from the origin respectively, Fig. 1

rx, ry, rz

Distances between the fixed probe position and the moved probe position in x, y and z directions respectively


Diameter of circular cylinder, Fig. 1


Half width for the bisector, Fig. 1


Integral length scale


Taylor’s micro scale


Kolmogorov’s dissipative scale


Arbitrary time


Time delay


Mean velocity in x direction, Fig. 1


Free stream velocity, Fig. 1


Mean velocity defect (U d = U 1-U), Fig. 1


Mean velocity defect at the wake center

u, υ, w

Fluctuating velocity components in x, y and z directions respectively


Fluctuating velocity components in y′ and z′ directions respectively

\(\left( {1/2} \right)\overline {{q^2}}\)

Turbulent kinetic energy \(\left( {\overline {{q^2}} = \overline {{u^2}} + \overline {{\upsilon ^2}} + \overline {{w^2}} } \right)\)

Ruu, Rυυ, RwwRυυ, Rww

One-point auto-correlation coefficients of u-, υ-, w-, υ′- and w′-fluctuating velocities respectively

Ru υ,Ru υ

One-point cross correlation coefficients between u- and υ-fluctuating velocities and between u- and υ′-fluctuating velocities respectively


Power spectra of fluctuating velocity components


Skewness factors of fluctuating velocity components


Flatness factors of fluctuating velocity components


Kinematic viscosity of air


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Copyright information

© Springer-Verlag Berlin Heidelberg 1985

Authors and Affiliations

  • Hideo Osaka
    • 1
  • Hidemi Yamada
    • 1
  • Ikuo Nakamura
    • 2
  1. 1.Dept. Mech. Eng.Yamaguchi Univ.UbeJapan
  2. 2.Dept. Mech. Eng.Nagoya Univ.NagoyaJapan

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