Effects of surface roughness on the universal Strouhal number over the wide Reynolds number range

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Abstract

Universality of the Strouhal number in the wake flow of a cylinder over a wide range of Reynolds number, i.e., 5 × 104 < Re < 107, was considered for this paper. Eight cylinders with various equidirectional surface roughnesses and six cylinders of various sizes of grooves were used for the measurement. The universal Strouhal numbers considered were Roshko's number, Bearman's number, Griffin's number and we took the measured values of the width of wake streets for the reference length. These universal Strouhal numbers were calculated using the measured values of vortex frequencies, surface pressure distributions and drags. Comparisons were then made. It was made clear that Bearman's number was the most uniform of all the universal Strouhal numbers considered. It maintained a uniform value of 0.18 throughout the Reynolds number range. The reason for the nonuniformity of other Strouhal numbers was also considered.

References (13)

  • T. Adachi et al.

    Flow around a circular cylinder in the high Reynolds number range (effect of surface roughness)

    Trans. Jpn. Soc. Mech. Eng. B

    (1989)
  • T. Adachi et al.

    Drag and vortex shedding from circular cylinder in the high Reynolds numbers range (effect of surface roughness)

    Trans. Jpn. Soc. Mech. Eng. B

    (1989)
  • A. Fage et al.

    The effects of turbulence and surface roughness on the drag of a circular cylinder

    Report, Memo. No. 1283

    (1929)
  • E. Achenbach

    Influence of surface roughness on the cross-flow around a circular cylinder

    J. Fluid Mech.

    (1971)
  • A. Okajima et al.

    Flow around a circular cylinder with surface roughness in the high Reynolds number range

    Technical Report of the Kyushuu Univ.

    (1973)
  • T. Adachi et al.

    Drag reduction of circular cylinder in the high Reynolds number range

    Trans. Jpn. Soc. Mech. Eng. B

    (1993)
There are more references available in the full text version of this article.

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