Skip to main content
×
Home

Wavelet decomposition of hydrodynamic and acoustic pressures in the near field of the jet

  • Matteo Mancinelli (a1), Tiziano Pagliaroli (a1), Alessandro Di Marco (a1), Roberto Camussi (a1) and Thomas Castelain (a2)...
Abstract

An experimental investigation of pressure fluctuations generated by a single-stream compressible jet is carried out in an anechoic wind tunnel. Measurements are performed using a linear array of microphones installed in the near region of the jet and a polar arc of microphones in the far field. The main focus of the paper is on the analysis of the pressure fluctuations in the near field. Three novel signal processing techniques are presented to provide the decomposition of the near-field pressure into hydrodynamic and acoustic components. The procedures are all based on the application of the wavelet transform to the measured pressure data and possess the distinctive property of requiring a very simple arrangement to obtain the desired results (one or two microphones at most). The hydrodynamic and acoustic pressures are characterized separately in terms of their spectral and statistical quantities and a direct link between the acoustic pressure extracted from the near field and the actual noise in the far field is established. The analysis of the separated pressure components sheds light on the nearly Gaussian nature/intermittent behaviour of the acoustic/hydrodynamic pressure. The higher sensitivity of the acoustic component to the Mach number variation has been highlighted as well as the different propagation velocities of the two pressure components. The achieved outcomes are validated through the application to the same data of existing separation procedures evidencing the advantages and limitations of the new methods.

Copyright
Corresponding author
Email address for correspondence: matteo.mancinelli@uniroma3.it
References
Hide All
Abry P., Fauve S., Flandrin P. & Laroche C. 1994 Analysis of pressure fluctuations in swirling turbulent flows. J. Phys. II 4 (5), 725733.
Arndt R. E. A., Long D. F. & Glauser M. N. 1997 The proper orthogonal decomposition of pressure fluctuations surrounding a turbulent jet. J. Fluid Mech. 340, 133.
Azzalini A., Farge M. & Schneider K. 2005 Nonlinear wavelet thresholding: a recursive method to determine the optimal denoising threshold. Appl. Comput. Harmon. Anal. 18 (2), 177185.
Bogey C. & Bailly C. 2007 An analysis of the correlations between the turbulent flow and the sound pressure fields of subsonic jets. J. Fluid Mech. 583, 7197.
Bogey C., Marsden O. & Bailly C. 2012a Effects of moderate Reynolds numbers on subsonic round jets with highly disturbed nozzle-exit boundary layers. Phys. Fluids 24 (10), 105107.
Bogey C., Marsden O. & Bailly C. 2012b Influence of initial turbulence level on the flow and sound fields of a subsonic jet at a diameter-based Reynolds number of 105 . J. Fluid Mech. 701, 352385.
Camussi R. & Guj G. 1997 Orthonormal wavelet decomposition of turbulent flows: intermittency and coherent structures. J. Fluid Mech. 348, 177199.
Camussi R. & Guj G. 1999 Experimental analysis of intermittent coherent structures in the near field of a high Re turbulent jet flow. Phys. Fluids 11 (2), 423431.
Cavalieri A. V. G., Jordan P., Agarwal A. & Gervais Y. 2011 Jittering wave-packet models for subsonic jet noise. J. Sound Vib. 330 (18), 44744492.
Cavalieri A. V. G., Rodríguez D., Jordan P., Colonius T. & Gervais Y. 2013 Wavepackets in the velocity field of turbulent jets. J. Fluid Mech. 730, 559592.
Chernoff H. & Lehmann E. L. 1954 The use of maximum likelihood estimates in 𝜒2 tests for goodness of fit. Ann. Math. Statist. 25 (3), 579586.
Danaila I., Dušek J. & Anselmet F. 1997 Coherent structures in a round, spatially evolving, unforced, homogeneous jet at low Reynolds numbers. Phys. Fluids 9 (11), 33233342.
Daubechies I. 1992 Ten Lectures on Wavelets, vol. 61. SIAM.
Di Marco A., Mancinelli M. & Camussi R. 2015 Pressure and velocity measurements of an incompressible moderate Reynolds number jet interacting with a tangential flat plate. J. Fluid Mech. 770, 247272.
Donoho D. L. & Johnstone J. M. 1994 Ideal spatial adaptation by wavelet shrinkage. Biometrika 81 (3), 425455.
Farge M. 1992 Wavelet transforms and their applications to turbulence. Annu. Rev. Fluid Mech. 24 (1), 395458.
Ffowcs Williams J. E. 1969 Hydrodynamic noise. Annu. Rev. Fluid Mech. 1 (1), 197222.
Fuchs H. V. 1972 Space correlations of the fluctuating pressure in subsonic turbulent jets. J. Sound Vib. 23 (1), 7799.
Goldstein M. E. 1984 Aeroacoustics of turbulent shear flows. Annu. Rev. Fluid Mech. 16 (1), 263285.
Grizzi S. & Camussi R. 2012 Wavelet analysis of near-field pressure fluctuations generated by a subsonic jet. J. Fluid Mech. 698, 93124.
Guitton A., Jordan P., Laurendeau E. & Delville J. 2007 Velocity dependence of the near pressure field of subsonic jets: understanding the associated source mechanisms. In 13th AIAA/CEAS Aeroacoustics Conference, p. 3661. American Institute of Aeronautics and Astronautics.
Hanjalić K. & Mullyadzhanov R. 2015 On spatial segregation of vortices and pressure eddies in a confined slot jet. Phys. Fluids 27 (3), 031703.
Howes W. L.1960 Distribution of time-averaged pressure fluctuations along the boundary of a round subsonic jet. NASA Tech. Rep. NASA-TN-D-468.
Jordan P. & Colonius T. 2013 Wave packets and turbulent jet noise. Annu. Rev. Fluid Mech. 45, 173195.
Jung D., Gamard S. & George W. K. 2004 Downstream evolution of the most energetic modes in a turbulent axisymmetric jet at high Reynolds number. Part 1. The near-field region. J. Fluid Mech. 514, 173204.
Juvé D., Sunyach M. & Comte-Bellot G. 1980 Intermittency of the noise emission in subsonic cold jets. J. Sound Vib. 71 (3), 319332.
Kearney-Fischer M., Sinha A. & Samimy M. 2013 Intermittent nature of subsonic jet noise. AIAA J. 51 (5), 11421155.
Kerhervé F., Guitton A., Jordan P., Delville J., Fortuné V., Gervais Y. & Tinney C. E. 2008 Identifying the dynamics underlying the large-scale and fine-scale jet noise similarity spectra. In 14th AIAA/CEAS Aeroacoustics Conference, p. 3027. American Institute of Aeronautics and Astronautics.
Landau L. D. & Lifshitz E. M. 1985 Fluid Mechanics. Pergamon.
Lighthill M. J. 1952 On sound generated aerodynamically I. General theory. Proc. R. Soc. Lond. A 211 (1107), 564587.
Lilley G. M. 1991 Jet noise classical theory and experiments. Aeroacoust. Flight Vehicles 1, 211289.
Mallat S. G. 1989 A theory for multiresolution signal decomposition: the wavelet representation. IEEE Trans. Pattern Anal. Mach. Intell. 11 (7), 674693.
Meneveau C. 1991 Analysis of turbulence in the orthonormal wavelet representation. J. Fluid Mech. 232, 469520.
Meyers S. D., Kelly B. G. & O’Brien J. J. 1993 An introduction to wavelet analysis in oceanography and meteorology: with application to the dispersion of yanai waves. Mon. Weath. Rev. 121 (10), 28582866.
Moore C. J. 1977 The role of shear-layer instability waves in jet exhaust noise. J. Fluid Mech. 80 (02), 321367.
Picard C. & Delville J. 2000 Pressure velocity coupling in a subsonic round jet. Intl J. Heat Fluid Flow 21 (3), 359364.
Pierce A. D. 1981 Acoustics: An Introduction to its Physical Principles and Applications. McGraw-Hill.
Raffel M., Willert C. E., Wereley S. & Kompenhans J. 2007 Particle Image Velocimetry: A Practical Guide. Springer.
Ribner H. S. 1962 Aerodynamic Sound from Fluid Dilatations: A Theory of the Sound from Jets and Other Flows. University of Toronto, Institute of Aerophysics.
Ristorcelli J. R. 1997 A pseudo-sound constitutive relationship for the dilatational covariances in compressible turbulence. J. Fluid Mech. 347, 3770.
Ross S. M. 2014 Introduction to Probability and Statistics for Engineers and Scientists. Academic.
Ruppert-Felsot J., Farge M. & Petitjeans P. 2009 Wavelet tools to study intermittency: application to vortex bursting. J. Fluid Mech. 636, 427453.
Suzuki T. & Colonius T. 2006 Instability waves in a subsonic round jet detected using a near-field phased microphone array. J. Fluid Mech. 565, 197226.
Tam C. K. W., Golebiowski M. & Seiner J. M 1996 On the two components of turbulent mixing noise from supersonic jets. In 2nd AIAA/CEAS Aeroacoustics Conference, p. 1716. American Institute of Aeronautics and Astronautics.
Tam C. K. W., Viswanathan K., Ahuja K. K. & Panda J. 2008 The sources of jet noise: experimental evidence. J. Fluid Mech. 615, 253292.
Tinney C. E. & Jordan P. 2008 The near pressure field of co-axial subsonic jets. J. Fluid Mech. 611, 175204.
Tinney C. E., Jordan P., Hall A. M., Delville J. & Glauser M. N. 2007 A time-resolved estimate of the turbulence and sound source mechanisms in a subsonic jet flow. J. Turbul. 8 (7), 120.
Torrence C. & Compo G. P. 1998 A practical guide to wavelet analysis. Bull. Am. Meteorol. Soc. 79 (1), 6178.
Ukeiley L. & Ponton M. 2004 On the near field pressure of a transonic axisymmetric jet. Intl J. Aeroacoust. 3 (1), 4365.
Viswanathan K. 2004 Aeroacoustics of hot jets. J. Fluid Mech. 516, 3982.
Viswanathan K. 2006 Scaling laws and a method for identifying components of jet noise. AIAA J. 44 (10), 22742285.
Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
  • URL: /core/journals/journal-of-fluid-mechanics
Please enter your name
Please enter a valid email address
Who would you like to send this to? *
×
MathJax

Keywords:

Metrics

Full text views

Total number of HTML views: 11
Total number of PDF views: 184 *
Loading metrics...

Abstract views

Total abstract views: 300 *
Loading metrics...

* Views captured on Cambridge Core between 26th January 2017 - 18th November 2017. This data will be updated every 24 hours.