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 narrow-frequency bands using an automated data acquisition system that jointly varied the longitudinal and transverse separations of two hot-wire probes. By taking Fourier transforms of the correlations, power spectral density functions were obtained with frequency <o and longitudinal and transverse wave numbers kx and kz 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.
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