The Prediction of Jet Noise From CFD Data

This paper describes a methodology for the prediction of jet noise based on data from a two-equation turbulence model. The noise model is an acoustic analogy based on the linearized Euler equations. Equivalent sources are included in both the continuity and momentum equations. Mean flow acoustic interaction effects are based on high and low frequency asymptotic solutions to both Lilley’s equation as well as the linearized Euler equations. The range of validity of these solutions is discussed. Comparisons are made between predictions and measurements for a high subsonic unheated jet. It is shown that reasonable predictions can be made at all observer angles without recourse to a second source mechanism. All the observed effects on the noise spectrum can be explained by mean flow acoustic interaction effects. It is argued that traditional convective amplification effects are relatively weak. Their existence depends on the particular choice of model for the two-point statistics of the noise sources. However, mean flow acoustic interaction effects result in a predicted behavior equivalent to convective amplification. It is shown that this amplification is not due to the source motion relative to the observer: but, it is due to the sound radiating into a mean flow that is in motion relative to the observer. In addition, it is argued that “self” and “shear” noise are not separate noise mechanisms: they are mathematical constructs associated with the reduction of the linearized Euler equations to a single wave equation.

[1]  M. E. Goldstein,et al.  The low frequency sound from multipole sources in axisymmetric shear flows, with applications to jet noise , 1975, Journal of Fluid Mechanics.

[2]  P. Morris,et al.  Acoustic Analogy and Alternative Theories for Jet Noise Prediction , 2002 .

[3]  Marcus Harper-Bourne,et al.  Jet Noise Turbulence Measurements , 2003 .

[4]  Philip J. Morris,et al.  Prediction of Noise from Jets with Different Nozzle Geometries , 2003 .

[5]  C. Tam,et al.  Jet Mixing Noise from Fine-Scale Turbulence , 1998 .

[6]  Philip R. Gliebe,et al.  Aerodynamics and Noise of Coaxial Jets , 1977 .

[7]  P. Rao,et al.  Some Finite Element Applications in Frequency Domain Aeroacoustics , 2004 .

[8]  M. Goldstein The low frequency sound from multipole sources in axisymmetric shear flows. Part 2 , 1976, Journal of Fluid Mechanics.

[9]  C. L. Morfey,et al.  Developments in jet noise modelling—theoretical predictions and comparisons with measured data , 1976 .

[10]  Abbas Khavaran,et al.  On the Applicability of High-Frequency Approximations to Lilley's Equation , 2004 .

[11]  S. Orszag,et al.  Advanced Mathematical Methods For Scientists And Engineers , 1979 .

[12]  C. Bogey,et al.  Noise Investigation of a High Subsonic, Moderate Reynolds Number Jet Using a Compressible Large Eddy Simulation , 2003 .

[13]  Christopher K. W. Tam,et al.  Computation of turbulent axisymmetric and nonaxisymmetric jet flows using the K-epsilon model , 1996 .

[14]  T. Balsa,et al.  The far field of high frequency convected singularities in sheared flows, with an application to jet-noise prediction , 1976, Journal of Fluid Mechanics.

[15]  M. E. Goldstein,et al.  High frequency sound emission from moving point multipole sources embedded in arbitrary transversely sheared mean flows , 1982 .

[16]  P. Morris,et al.  Reply by the Authors to C. K. W. Tam , 2003 .

[17]  A. Khavaran Role of anisotropy in turbulent mixing noise , 1999 .

[18]  J. Seiner,et al.  On the Two Components of Turbulent Mixing Noise from Supersonic Jets , 1996 .

[19]  C. L. Morfey,et al.  New scaling laws for hot and cold jet mixing noise based on a geometric acoustics model , 1978 .

[20]  Christopher K. W. Tam,et al.  Mean flow refraction effects on sound radiated from localized sources in a jet , 1998, Journal of Fluid Mechanics.

[21]  Parviz Moin,et al.  Numerical simulation of a Mach 1.92 turbulent jet and its sound field , 2000 .

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