On turbulence and noise of an axisymmetric shear flow

The noise produced by mean flow-turbulence interaction of a circular subsonic jet is investigated theoretically, and expanded in azimuthal constituents of the turbulent pressure fluctuations. It is found that the low-order azimuthal constituents are the most efficient sound sources. On the basis of pressure correlation measurements, the azimuthal constituents are determined in a low Mach number jet. It is found that, in a range of Strouhal numbers between 0·2 and 1, the first three to four azimuthal constituents clearly dominate over the rest of the turbulent source quantity. A strictly axisymmetric ring vortex model for the coherent structure of the turbulence is, however, shown to be inappropriate.

[1]  J. Bendat,et al.  Random Data: Analysis and Measurement Procedures , 1971 .

[2]  Terry D. Scharton,et al.  Supersonic Jet Noise Investigation Using Jet Fluctuating Pressure Probes. , 1973 .

[3]  H. V. Fuchs,et al.  Measurement of pressure fluctuations within subsonic turbulent jets , 1972 .

[4]  H. Fuchs Space correlations of the fluctuating pressure in subsonic turbulent jets , 1972 .

[5]  W. T. Chu,et al.  On the Generation of Jet Noise , 1974 .

[6]  E. Mollo-Christensen,et al.  MEASUREMENTS OF NEAR FIELD PRESSURE OF SUBSONIC JETS , 1963 .

[7]  E. C. Bigelow,et al.  Mean and fluctuating velocity contours and acoustic characteristics of subsonic and supersonic jets. , 1972 .

[8]  Erik Mollo-Christensen,et al.  Experiments on jet flows and jet noise far-field spectra and directivity patterns , 1964, Journal of Fluid Mechanics.

[9]  S. Crow,et al.  Orderly structure in jet turbulence , 1971, Journal of Fluid Mechanics.

[10]  M. Lighthill On sound generated aerodynamically II. Turbulence as a source of sound , 1954, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[11]  R. Arndt,et al.  Turbulence and Acoustic Characteristics of Screen Perturbed Jets , 1972 .

[12]  A. Michalke,et al.  A Wave model for Sound Generation in Circular Jets , 1970 .

[13]  T. E. Siddon On the response of pressure measuring instrumentation in unsteady flow , 1969 .

[14]  P. H. White,et al.  Simple Pressure Source Model of Jet Noise , 1972 .

[15]  H. V. Fuchs,et al.  The intrinsic structure of turbulent jets , 1972 .

[16]  A. Michalke,et al.  An Expansion Scheme for the Noise from Circular Jets , 1971 .

[17]  Y. Y. Chan,et al.  Spatial waves in turbulent jets , 1974 .

[18]  M. Lighthill On sound generated aerodynamically I. General theory , 1952, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.