Skip to main content
SpringerLink
Log in

Numerical investigation of resonators in a waveguide

  • Published:
Fluid Dynamics Aims and scope Submit manuscript

Abstract

A technique for numerically investigating resonators based on their exposure to broadband noise with a subsequent analysis of the input and output signal spectra is proposed. Resonance chambers connected with a waveguide through its wall are numerically investigated using both linear (linearized Euler equations) and nonlinear (Euler and Navier-Stokes equations) models. The general features of the linear resonance and the influence of nonlinear effects and dissipation on sound-absorbing properties are studied. The dependence of the resonator parameters on the presence of an axial flow and the boundary layer thickness is investigated for the model based on the Navier-Stokes equations.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Y. Khaletskiy, V. Povarkov, and R. Shipov, “The Study of Combined Acoustic Liners for Turbofan Noise Reduction,” in: Proc. 16th Int. Congr. Sound and Vibration (ICSV16). Krakow, Poland, 2009 (2009).

  2. Y. Khaletskiy, V. Povarkov, and R. Shipov, “Experimental Study of the Turbofan Hush Kit Response,” in: Proc. 17th Int. Congr. Sound and Vibration (ICSV17). Cairo, Egypt, 2010 (2010).

  3. A.F. Sobolev, “Semiempirical Theory of Single-Layer Cellular Sound-Absorbing Structures with a Perforated Frontal Surface,” Akust. Zh. 53, 861 (2007).

    Google Scholar 

  4. A.F. Sobolev, V.G. Ushakov, and R.D. Filippova, “Sound-Absorbing Homogeneous Structures for the Channels of Aircraft Engines,” Akust. Zh. 55, 749 (2009).

    Google Scholar 

  5. I.V. Lebedeva and S.P. Dragan, “Determination of Acoustic Characteristics in Tubes Using Two Microphones,” Izmerit. Tekhn. No. 8, 52 (1988).

  6. C. Richter, F.H. Thiele, X. Li, and M. Zhuang, “Comparison of Time-Domain Impedance Boundary Conditions by Lined Duct Flows,” AIAA Paper No. 2527 (2006).

  7. X.D. Lia, C. Richter, and F. Thiele, “Time-Domain Impedance Boundary Conditions for Surfaces with Subsonic Mean Flows,” J. Acoust. Soc. Amer. 119, 2665 (2006).

    Article  ADS  Google Scholar 

  8. T.K. Kozubskaya, I.V. Abalakin, I.V. Borovskaya, A.V. Gorobets, and K.A. Daniel, “Numerical Experiment in Engineering Aeroacoustics with Reference to the Example of the Modeling of Sound-Absorbing Structures,” in: Abstracts of the Conference’ Aircraft Acoustics’, Russia, Zvenigorod, 2007 [in Russian] (2007).

  9. K.A. Daniel and T.K. Kozubskaya, “Numerical Investigation of the Sound-Absorbing Properties of Resonators,” in: Abstracts of the Conference’ Numerical Experiment in Aeroacoustics’, Russia, Svetlogorsk, 2008 [in Russian] (2008).

  10. M.A. Isakovich, General Acoustics [in Russian], Nauka, Moscow (1973).

    Google Scholar 

  11. I.V. Abalakin, A. Dervieux, and T.K. Kozubskaya, “High Accuracy Finite Volume Method for Solving Nonlinear Aeroacoustics Problems on Unstructured Meshes,” Chinese J. Aeronaut. 19(2), 97 (2006).

    Article  Google Scholar 

  12. I.V. Abalakin and T.K. Kozubskaya, “Multiparameter Family of Higher-Order Schemes for the Linear Transport Equation,” Mat. Model. 19(7), 56 (2007).

    MATH  Google Scholar 

  13. A. Jameson, “Numerical Solution of the Euler Equations for Compressible Inviscid Fluids,” in: Numerical Methods for the Euler Equations of Fluid Dynamics. Philadelphia: SIAM, 1985 (1985), p. 199.

  14. J.L. Steger and R.F. Warming, “Flux Vector Splitting of the Inviscid Gasdynamic Equations with Application to Finite-DifferenceMethods,” J. Comput. Phys. 40, 263 (1981).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  15. C.K.W. Tam, H. Ju, M.G. Jones, W.R. Watson, and T.L. Parrott, “A Computational and Experimental Study of Slit Resonators,” AIAA Paper No. 3310 (2003).

  16. C.K.W. Tam, H. Ju, M.G. Jones, W.R. Watson, and T.L. Parrott, “A Computational and Experimental Study of Slit Resonators,” J. Sound Vibr. 284, 947 (2003).

    Article  ADS  Google Scholar 

Download references

Authors
  1. A. P. Duben’
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. T. K. Kozubskaya
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. M. A. Mironov
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Original Russian Text © A.P. Duben’, T.K. Kozubskaya, M.A.Mironov, 2012, published in Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, 2012, Vol. 47, No. 1, pp. 146–156.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Duben’, A.P., Kozubskaya, T.K. & Mironov, M.A. Numerical investigation of resonators in a waveguide. Fluid Dyn 47, 129–138 (2012). https://doi.org/10.1134/S0015462812010140

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0015462812010140

Keywords

Search

Navigation