Skip to main content
SpringerLink
Log in

Lattice Boltzmann simulation on the flow behaviour associated with Helmholtz cavity-backed acoustic liners

  • Regular Paper
  • Published:
Journal of Visualization Aims and scope Submit manuscript

Abstract

Noise from jet engines can be reduced by means of a Helmholtz cavity configuration. The resonance that occurs when a flow passes the neck of the Helmholtz resonator will dissipate acoustic energy. The mechanism for such dissipation is mainly due to the vortex shedding that occurs at the neck of the resonator where the vortex structures absorb acoustic energy and subsequently dissipate it through viscous effects. In this work, numerical simulations utilizing the lattice Boltzmann method are used to aid in visualizing the flow behaviour that is associated with Helmholtz cavity-backed acoustic liners. In both experiments and numerical simulations, the 1-neck cavity is found to result in an amplification of an applied acoustic source. For a 4-neck cavity, the configuration is able to achieve acoustic pressure reductions. Differences in the flow behaviour of the 1-neck and 4-neck cavities are detailed in this work. Results show that the stronger vortex shedding that occurs in the 4-neck cavity configuration could explain its increased effectiveness as a Helmholtz cavity-backed acoustic liner.

Graphic Abstract

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

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7

Similar content being viewed by others

References

  • Eldredge JD, Dowling AP (2003) The absorption of axial acoustic waves by a perforated liner with bias flow. J Fluid Mech 485:307–335

    Article  Google Scholar 

  • Gehrke M, Janßen C, Rung T (2017) Scrutinizing lattice Boltzmann methods for direct numerical simulations of turbulent channel flows. Comput Fluids 156:247–263

    Article  MathSciNet  Google Scholar 

  • Jing X, Sun X (2000) Effect of plate thickness on impedance of perforated plates with bias flow. AIAA J 38(9):1573–1578

    Article  Google Scholar 

  • Kinsler LE, Frey AR, Coppens AB, Sanders JV (1999) Fundamentals of acoustics, 4th Edn, Wiley, Hoboken, p 560, ISBN: 0-471-84789-5

  • Krüger T, Kusumaatmaja H, Kuzmin A, Shardt O, Silva G, Viggen EM (2017) The Lattice Boltzmann method: principles and practice. Springer, New York

    Book  Google Scholar 

  • Ma R, Slaboch PE, Morris SC (2009) Fluid mechanics of the flow-excited Helmholtz resonator. J Fluid Mech 623:1–26

    Article  MathSciNet  Google Scholar 

  • Meyer E, Mechel F, Kurtze G (1958) Experiments on the influence of flow on sound attenuation in absorbing ducts. J Acoust Soc Am 30(3):165–174

    Article  Google Scholar 

  • Stein L, Reiss J, Sesterhenn J (2018) Numerical simulation of a resonant cavity: acoustical response under grazing turbulent flow. In: New results in numerical and experimental fluid mechanics XI. Springer, New York, pp 671–681

  • Sukop MC, Thorne DTJ (2006) Lattice Boltzmann modeling an introduction for geoscientists and engineers. Springer, New York

    Book  Google Scholar 

  • Tam CK, Pastouchenko NN, Jones MG, Watson WR (2014) Experimental validation of numerical simulations for an acoustic liner in grazing flow: self-noise and added drag. J Sound Vib 333(13):2831–2854

    Article  Google Scholar 

  • Viggen EM (2009) The lattice Boltzmann method with applications in acoustics. Department of Physics, Norwegian University of Science and Technology, Trondheim, Trondheim

    Google Scholar 

  • Zhao D, Ang L, Ji C (2015) Numerical and experimental investigation of the acoustic damping effect of single-layer perforated liners with joint bias-grazing flow. J Sound Vib 342:152–167

    Article  Google Scholar 

Download references

Acknowledgements

This research is supported by the National Research Foundation, Singapore, under its NRF-NSFC joint grant (NRF2016NRF-NSFC001-102). Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not reflect the views of National Research Foundation, Singapore. The authors are grateful for the computing resource allocated by the National Supercomputing Centre, Singapore, and the support from its staff. The authors are also grateful for the input of T.Y. Ng and T.H. New to the project.

Author information

Authors and Affiliations

  1. School of Mechanical and Aerospace Engineering, Nanyang Technological University, 50 Nanyang Avenue, Singapore, 639798, Singapore

    J. Heng, T. D. Thanapal, W. L. Chan & B. Elhadidi

Authors
  1. J. Heng
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. T. D. Thanapal
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. W. L. Chan
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. B. Elhadidi
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to W. L. Chan.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Heng, J., Thanapal, T.D., Chan, W.L. et al. Lattice Boltzmann simulation on the flow behaviour associated with Helmholtz cavity-backed acoustic liners. J Vis 23, 625–633 (2020). https://doi.org/10.1007/s12650-020-00653-y

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12650-020-00653-y

Keywords

Search

Navigation