Turbulence and heat excited noise sources in single and coaxial jets

The generation of noise in subsonic high Reynolds number single and coaxial turbulent jets is analyzed by a hybrid method. The computational approach is based on large-eddy simulations (LES) and solutions of the acoustic perturbation equations (APE). The method is used to investigate the acoustic fields of one isothermal single stream jet at a Mach number 0.9 and a Reynolds number 400,000 based on the nozzle diameter and two coaxial jets whose Mach number and Reynolds number based on the secondary jet match the values of the single jet. One coaxial jet configuration possesses a cold primary flow, whereas the other configuration has a hot primary jet. Thus, the configurations allow in a first step the analysis of the relationship of the flow and acoustic fields of a single and a cold coaxial jet and in a second step the investigation of the differences of the fluid mechanics and aeroacoustics of cold and hot coaxial jets. For the isothermal single jet the present hybrid acoustic computation shows convincing agreement with the direct acoustic simulation based on large-eddy simulations. The analysis of the acoustic field of the coaxial jets focuses on two noise sources, the Lamb vector fluctuations and the entropy sources of the APE equations. The power spectral density (PSD) distributions evidence the Lamb vector fluctuations to represent the major acoustic sources of the isothermal jet. Especially the typical downstream and sideline acoustic generations occur on a cone-like surface being wrapped around the end of the potential core. Furthermore, when the coaxial jet possesses a hot primary jet, the acoustic core being characterized by the entropy source terms increases the low frequency acoustics by up to 5 dB, i.e., the sideline acoustics is enhanced by the pronounced temperature gradient.

[1]  Geert Brethouwer,et al.  A numerical investigation on the effect of the inflow conditions on the self-similar region of a round jet , 1998 .

[2]  Wolfgang Schröder,et al.  Noise prediction for a turbulent jet using different hybrid methods , 2008 .

[3]  P. Spalart,et al.  Noise Prediction for Increasingly Complex Jets. Part I: Methods and Tests , 2005 .

[4]  J. Panda,et al.  Experimental investigation of density fluctuations in high-speed jets and correlation with generated noise , 2002, Journal of Fluid Mechanics.

[5]  K. Viswanathan Aeroacoustics of hot jets , 2002, Journal of Fluid Mechanics.

[6]  J. Freund Noise sources in a low-Reynolds-number turbulent jet at Mach 0.9 , 2001, Journal of Fluid Mechanics.

[7]  J. Laufer,et al.  Experiments on Supersonic Jet Noise , 1976 .

[8]  Philip J. Morris,et al.  NOISE FROM SUPERSONIC COAXIAL JETS, PART 1: MEAN FLOW PREDICTIONS , 1997 .

[9]  F. Grinstein,et al.  Monotonically integrated large eddy simulation of free shear flows , 1999 .

[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]  P. Morris,et al.  Noise from Supersonic Coaxial Jets. Part 2; Normal Velocity Profile , 1997 .

[12]  Christopher K. W. Tam,et al.  Broadband Shock-Cell Noise from Dual Stream Jets , 2008 .

[13]  Sébastien Barré,et al.  Experimental study of the properties of near-field and far-field jet noise , 2006 .

[14]  M. Meinke,et al.  Noise Prediction for a Turbulent Jet Using an LES/CAA Method , 2005 .

[15]  Wolfgang Schröder,et al.  Large-eddy simulation of film cooling flows at density gradients , 2008 .

[16]  Anjaneyulu Krothapalli,et al.  On the use of microjets to suppress turbulence in a Mach 0.9 axisymmetric jet , 2003, Journal of Fluid Mechanics.

[17]  Large-eddy simulation of streamwise-rotating turbulent channel flow , 2008 .

[18]  M. Meinke,et al.  Towards Noise Reduction of Coaxial Jets , 2007 .

[19]  C. L. Morfey,et al.  Noise measurements in a free-jet, flight simulation facility - Shear layer refraction and facility-to-flight corrections , 1976 .

[20]  M. Meinke,et al.  Large-eddy simulation of low frequency oscillations of the Dean vortices in turbulent pipe bend flows , 2005 .

[21]  I. Proudman,et al.  The generation of noise by isotropic turbulence , 1952, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[22]  A. Powell Theory of Vortex Sound , 1964 .

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

[24]  Christophe Bailly,et al.  Effects of Inflow Conditions and Forcing on Subsonic Jet Flows and Noise. , 2005 .

[25]  Jonathan B. Freund,et al.  Proposed Inflow/Outflow Boundary Condition for Direct Computation of Aerodynamic Sound , 1997 .

[26]  Dimitri Papamoschou,et al.  Analytical Predictions and Measurements of the Noise Radiated from Supersonic Coaxial Jets , 2000 .

[27]  Philip J. Morris,et al.  The noise from normal-velocity-profile coannular jets , 1985 .

[28]  Matthias Meinke,et al.  Numerical Analysis of Sound Sources in High Reynolds Number Single Jets , 2007 .

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

[30]  W. Schröder,et al.  Acoustic perturbation equations based on flow decomposition via source filtering , 2003 .

[31]  Khairul Q. Zaman,et al.  Flow field and near and far sound field of a subsonic jet , 1986 .

[32]  Dimitri Papamoschou,et al.  Acoustic Simulation of Coaxial Hot Air Jets Using Cold Helium-Air Mixture Jets , 2007 .

[33]  N.W.M. Ko,et al.  The initial region of subsonic coaxial jets , 1976, Journal of Fluid Mechanics.

[34]  Paul G. Tucker,et al.  Novel MILES computations for jet flows and noise , 2004 .

[35]  M.Y. Hussaini,et al.  Low-Dissipation and Low-Dispersion Runge-Kutta Schemes for Computational Acoustics , 1994 .

[36]  C. Tinney,et al.  The near pressure field of co-axial subsonic jets , 2008, Journal of Fluid Mechanics.

[37]  J. E. Ffowcs Williams,et al.  The noise from turbulence convected at high speed , 1963, Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences.

[38]  C. Bailly,et al.  Direct computation of the noise generated by a hot coaxial jet , 2007 .

[39]  Philippe R. Spalart,et al.  Identification of Sound Sources in Large-Eddy Simulations of Jets , 2007 .

[40]  P. Sagaut,et al.  Large-Eddy Simulations for Acoustics , 2007 .

[41]  H. K. Tanna,et al.  Coannular jets - Are they really quiet and why , 1980 .

[42]  C. Morfey Amplification of aerodynamic noise by convected flow inhomogeneities , 1973 .

[43]  Computational aeroacoustics: The low speed jet , 2008, The Aeronautical Journal (1968).

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

[45]  Christopher K. W. Tam,et al.  Tone-excited jet: Theory and experiments , 1982 .

[46]  Christopher K. W. Tam,et al.  Jet Noise: Since 1952 , 1998 .

[47]  C. Tam,et al.  Dispersion-relation-preserving finite difference schemes for computational acoustics , 1993 .

[48]  M. Fisher,et al.  A MODELLING OF THE NOISE FROM SIMPLE COAXIAL JETS, PART I: WITH UNHEATED PRIMARY FLOW , 1998 .

[49]  G. M. Lilley,et al.  THE RADIATED NOISE FROM ISOTROPIC TURBULENCE WITH APPLICATIONS TO THE THEORY OF JET NOISE , 1996 .

[50]  Dimitri Papamoschou,et al.  Mean Flow Development in Dual-Stream Compressible Jets , 2002 .

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

[52]  E. Krause,et al.  A comparison of second- and sixth-order methods for large-eddy simulations , 2002 .