Journal of Fluid Mechanics

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Scaling of the wall-normal turbulence component in high-Reynolds-number pipe flow

RONGRONG ZHAOa1 p1 and ALEXANDER J. SMITSa1

a1 Department of Mechanical and Aerospace Engineering, Princeton University, Princeton, NJ 08544, USA

Abstract

Streamwise and wall-normal turbulence components are obtained in fully developed turbulent pipe over a Reynolds number range from 1.1 × 105 to 9.8 × 106. The streamwise intensity data are consistent with previous measurements in the same facility. For the wall-normal turbulence intensity, a constant region in v'r.m.s. is found for the region 200 ≤ y+ ≤ 0.1R+ for Reynolds numbers up to 1.0 × 106. An increase in v'r.m.s. is observed below about y+ xs223C 100, although additional measurements will be required to establish its generality. The wall-normal spectra collapse in the energy-containing region with inner scaling, but for the low-wavenumber region a y/R dependence is observed, which also indicates a continuing influence from the outer flow on the near-wall motions.

(Received June 22 2006)

(Revised November 01 2006)

Correspondence:

p1 Present address: Geophysical Fluid Dynamics Laboratory, Princeton, NJ, USA.

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