Broadband Shock-Cell Noise from Dual Stream Jets

Broadband shock-cell noise from dual stream jets is investigated. The present work is confined to the cases of supersonic secondary jet and subsonic primary jet. Previous studies on single stream supersonic jets reveal that broadband shock-cell noise from these jets is generated by the interaction of the large turbulence structures and the shock cells in the jet plume as the former propagate downstream through the latter. A prominent characteristic of the radiated noise is that it is most intense in the upstream direction and drops off with an increase in inlet angle. An important result of the present investigation is the discovery that there are two sets of broadband shock-cell noise. One set is the classical shock-cell noise, similar to that of single stream jets. The second set radiates sound primarily in the downstream direction. Its intensity is low at 90°, but the intensity increases with inlet angle until a critical angle is reached beyond which it starts to decrease rapidly. It is believed that the first sound field is generated by the interaction of the large turbulence structures and the shock cells in the outer shear layer of the dual stream jet. The second sound field is generated in a similar manner involving the large turbulence structures and the shock cells in the inner shear layer of the jet. The inner shear layer separates the secondary and the primary jet. A simplified mathematical model capable of elucidating the generation, transmission and radiation of broadband shock-cell noise from dual stream jets is developed. The model provides formulas relating the direction of radiation and the frequencies of broadband shock-cell noise at the peaks of the noise spectra for both sets of sound fields. Good agreement is found between the predictions from these formulas and experimental measurements, thereby providing support for the validity of the model.

[1]  C. Tam,et al.  The sources of jet noise: experimental evidence , 2007, Journal of Fluid Mechanics.

[2]  Walter R. Lempert,et al.  Compressibility effects on turbulence structures of axisymmetric mixing layers , 2003 .

[3]  Christopher K. W. Tam,et al.  Broadband shock-associated noise from supersonic jets in flight , 1991 .

[4]  H. Bass,et al.  Atmospheric absorption of high frequency noise and application to fractional-octave bands , 1977 .

[5]  Sanjiva K. Lele,et al.  Investigating broadband shock-associated noise of axisymmetric jets using large-eddy simulation , 2006 .

[6]  Ephraim Gutmark,et al.  Shock Cell Modification due to Chevrons , 2007 .

[7]  T. Norum,et al.  Simulated high speed flight effects on supersonic jet noise , 1993 .

[8]  Ulrich Ganz,et al.  PREDICTION OF SHOCK-CELL STRUCTURE AND NOISE IN DUAL FLOW NOZZLES , 2007 .

[9]  Christopher K. W. Tam,et al.  Broadband shock associated noise from supersonic jets measured by a ground observer , 1992 .

[10]  Christopher K. W. Tam,et al.  Shock associated noise of supersonic jets from convergent-divergent nozzles , 1982 .

[11]  John M. Seiner,et al.  A multiple-scales model of the shock-cell structure of imperfectly expanded supersonic jets , 1985, Journal of Fluid Mechanics.

[12]  Mehmet Bahadir Alkislar,et al.  Characteristics of the Shock Noise Component of Jet Noise , 2008 .

[13]  Christopher K. W. Tam,et al.  Stochastic model theory of broadband shock associated noise from supersonic jets , 1987 .

[14]  Phased Array Models of Shock-cell Noise Sources , 2005 .

[15]  Sanjiva K. Lele,et al.  Sound Generation Mechanism of Shock-Associated Noise , 2003 .

[16]  H. Tanna An experimental study of jet noise part II: Shock associated noise , 1977 .

[17]  Dean Long The Structure of Shock Cell Noise from Supersonic Jets , 2005 .

[18]  J. G. Shearin,et al.  Effects of simulated flight on the structure and noise of underexpanded jets , 1984 .

[19]  John M. Seiner,et al.  Measurements of Mean Static Pressure and Far Field Acoustics of Shock Containing Supersonic Jets , 1982 .

[20]  A. Roshko,et al.  On density effects and large structure in turbulent mixing layers , 1974, Journal of Fluid Mechanics.

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

[22]  Christopher K. W. Tam,et al.  Turbulent mixing noise from supersonic jets , 1994 .

[23]  Krishna Viswanathan,et al.  Jet Aeroacoustic Testing: Issues and Implications , 2003 .

[24]  Christopher K. W. Tam,et al.  Computation of Shock Cell Structure of Dual-Stream Jets for Noise Prediction , 2008 .

[25]  John M. Seiner,et al.  Acoustic near-field properties associated with broadband shock noise , 1984 .

[26]  Christopher K. W. Tam,et al.  A statistical model of turbulence in two-dimensional mixing layers , 1979, Journal of Fluid Mechanics.

[27]  Christopher K. W. Tam,et al.  Shock associated noise of inverted-profile coannular jets, part I: Experiments , 1985 .

[28]  C. Tam,et al.  High speed flight effects on shock associated noise , 1986 .

[29]  D. C. Pack A NOTE ON PRANDTL'S FORMULA FOR THE WAVE-LENGTH OF A SUPERSONIC GAS JET , 1950 .

[30]  John M. Seiner,et al.  Proposed relationship between broadband shock associated noise and screech tones , 1986 .

[31]  Krishna Viswanathan,et al.  Instrumentation Considerations for Accurate Jet Noise Measurements , 2006 .

[32]  J. G. Shearin,et al.  Shock structure and noise of supersonic jets in simulated flight to Mach 0.4 , 1988 .

[33]  J. M. Seiner,et al.  Aerodynamic aspects of shock containing jet plumes , 1980 .

[34]  Christopher K. W. Tam,et al.  Broadband shock-associated noise of moderately imperfectly expanded supersonic jets , 1990 .

[35]  E. Gutmark,et al.  How Chevrons Decrease Broadband Jet Noise in Cruise , 2007 .

[36]  Ephraim Gutmark,et al.  Broadband Shock Associated Noise Suppression by Chevrons , 2006 .

[37]  Christopher K. W. Tam,et al.  On the noise of a nearly ideally expanded supersonic jet , 1972, Journal of Fluid Mechanics.

[38]  Krishna Viswanathan,et al.  Parametric study of noise from dual-stream nozzles , 2003, Journal of Fluid Mechanics.

[39]  Dean Long Effect of Nozzle Geometry on Turbofan Shock Cell Noise at Cruise , 2005 .

[40]  J. M. Seiner,et al.  Experiments of shock associated noise of supersonic jets , 1979 .