Structural similarity of turbulence in fully developed smooth pipe flow
Abstract
The structure of fully developed turbulence in a smooth pipe has been studied in detail for a Reynolds number of 134,000 (based on centerline velocity and pipe radius) at two fixed distances from the wall, namely, y(+) = 70 and 200. Correlations of the longitudinal component of turbulence were generated simultaneously in seven narrowfrequency bands using an automated data acquisition system that jointly varied the longitudinal and transverse separations of two hotwire probes. By taking Fourier transforms of the correlations, power spectral density functions were obtained with frequency omega and longitudinal and transverse wave numbers k(x) and k(z) as independent variables. The data presented in this form show the distribution of turbulence intensity among waves of different size and inclination, providing an estimate of the convection velocity of individual waves. A wave size range of about 20 has been covered by the data. With appropriate analysis and interpretation, the convection velocity results fully support the similarity hypothesis.
 Publication:

AIAA Journal
 Pub Date:
 March 1989
 DOI:
 10.2514/3.10110
 Bibcode:
 1989AIAAJ..27..283L
 Keywords:

 Flow Characteristics;
 Flow Velocity;
 Pipe Flow;
 Turbulent Flow;
 Wall Flow;
 Convective Flow;
 Fourier Transformation;
 High Reynolds Number;
 HotWire Anemometers;
 Power Spectra;
 Propagation Velocity;
 Fluid Mechanics and Heat Transfer