Direct Numerical Simulation of the Micro-Fluid Dynamics of Acoustic Liners

  • Christopher K. W. Tam
  • Konstantin A. Kurbatskii
Conference paper
Part of the Fluid Mechanics and its Applications book series (FMIA, volume 54)


Nowadays, acoustic liners are essential for jet engine noise suppression. In the case of resonant liners, the openings of the resonators are usually very small. Because of the small dimensions, the flow field around the mouth of the resonators has not been directly observed or measured experimentally. This is so in spite of the fact that most acoustic energy dissipation takes place in this region. Present day understanding of the flow field and dissipation mechanisms of resonant liners are largely theoretical or is based on experiments using much larger scale models. The Reynolds number of these large models are, however, not the same as those of the actual resonators of the liner.


Direct Numerical Simulation Perfectly Match Layer Dissipation Mechanism Slug Flow Resonator Opening 
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  1. 1.
    Kraft, R.E., Yu, J. and Kwan, H.W. (1997) “Acoustic Treatment Impedance Models for High Frequencies,” AIAA Paper 97-1653.Google Scholar
  2. 2.
    Hersh, A.S. and Walker, B.E. (1995) “Acoustic Behavior of Helmholtz Resonators: Part 1, Nonlinear Model,” AIAA Paper 95-0078.Google Scholar
  3. 3.
    Jones, M. (1997) “An Improved Model for Parallel-Element Liner Impedance Prediction,” AIAA Paper 97-1649.Google Scholar
  4. 4.
    Melling, T.H. (1973) “The Acoustic Impedance of Perforates at Medium and High Sound Pressure Levels,” Journal of Sound and Vibration, Vol. 29, No. 1, pp. 1–65.ADSCrossRefGoogle Scholar
  5. 5.
    Sivian, L.J. (1935) “Acoustic Impedance of Small Orifices,” Journal Acoustical Society of America, Vol. 7, pp. 94–101.ADSCrossRefGoogle Scholar
  6. 6.
    Ingard, U. (1953) “On the Theory and Design of Acoustic Resonators,” Journal Acoustical Society of America, Vol. 25, pp. 1037–1062.ADSCrossRefGoogle Scholar
  7. 7.
    Ingard, U. and Labate, S. (1950) “Acoustic Circulation Effects and the Nonlinear Impedance of Orifices,” Journal Acoustical Society of America, Vol. 22, pp. 211–219.ADSCrossRefGoogle Scholar
  8. 8.
    Ingard, U., and Ising, H. (1967) “Acoustic Nonlinearity of an Orifice,” Journal Acoustical Society of America, Vol. 42, pp. 6–17.ADSCrossRefGoogle Scholar
  9. 9.
    Sirignano, W.A. (1966) “Nonlinear Dissipation in Acoustic Liners,” Princeton University A.M.S. Report 553-F31-40.Google Scholar
  10. 10.
    Zinn, B.T. (1970) “A Theoretical Study of Non-Linear Damping by Helmholtz Resonators,” Journal of Sound and Vibration, Vol. 13, pp. 347–356.ADSzbMATHCrossRefGoogle Scholar
  11. 11.
    Tam, C.K.W. and Webb, J.C. (1993) “Dispersion-Relation-Preserving Finite Difference Schemes for Computational Acoustics,” Journal of Computational Physics, Vol. 107, pp. 262–281.MathSciNetADSzbMATHCrossRefGoogle Scholar
  12. 12.
    Tam, C.K.W. (1995) “Computational Aeroacoustics: Issues and Methods,” AIAA Journal, Vol. 33, pp. 1788–1796.ADSzbMATHCrossRefGoogle Scholar
  13. 13.
    Shen, H. and Tam, C.K.W. (1998) “Numerical Simulation of the Generation of Axisymmetric Mode Jet Screech Tones,” AIAA Journal, Vol. 36, pp. 1801–1807.ADSCrossRefGoogle Scholar
  14. 14.
    Tarn, C.K.W., Webb, J.C. and Dong, Z. (1993) “A Study of the Short Wave Components in Computation Acoustics,” Journal of Computational Acoustics, Vol. 1, pp. 1–30.CrossRefGoogle Scholar
  15. 15.
    Tam, C.K.W. and Kurbatskii, K.A. (1999) “Micro-Fluid Dynamics and Acoustics of Resonant Liners,” AIAA Paper 99-1850.Google Scholar
  16. 16.
    Tam, C.K.W. and Dong, Z. (1994) “Wall Boundary Conditions for High-Order Finite Difference Schemes in Computational Aeroacoustics,” Theoretical and Computational Fluid Dynamics, Vol. 8, pp. 303–322.ADSCrossRefGoogle Scholar
  17. 17.
    Tam, C.K.W. (1998) “Advances in Numerical Boundary Conditions for Computational Aeroacoustics,” Journal of Computational Acoustics, Vol. 6, pp. 377–402.CrossRefGoogle Scholar
  18. 18.
    Tam, C.K.W. (1998) Auriault, L. and Cambuli, F., “Perfectly Matched Layer as an Absorbing Boundary Condition for the Linearized Euler Equations in Open and Ducted Domains,” Journal of Computational Physics, Vol. 144, pp. 213–234.MathSciNetADSCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media Dordrecht 1999

Authors and Affiliations

  • Christopher K. W. Tam
    • 1
  • Konstantin A. Kurbatskii
    • 1
  1. 1.Department of MathematicsFlorida State UniversityTallahasseeUSA

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