Hostname: page-component-cd9895bd7-8ctnn Total loading time: 0 Render date: 2024-12-18T13:36:53.241Z Has data issue: false hasContentIssue false

The absorption of sound by perforated linings

Published online by Cambridge University Press:  26 April 2006

I. J. Hughes
Affiliation:
Topexpress Ltd. Poseidon House, Castle Park, Cambridge CB3 0RD, UK
A. P. Dowling
Affiliation:
Department of Engineering, University of Cambridge, Cambridge CB2 1PZ, UK

Abstract

The efficiency of a perforated screen as a sound absorber can be greatly increased when a rigid surface is placed behind the screen, essentially because the sound can then interact many times with the perforations. We consider a practical application for a backed perforated screen with a bias flow through the perforations: the ‘screech liner’. This is a perforated lining which is inserted in the afterburner section of jet engines to suppress the acoustically driven combustion instability commonly known as screech. A pressure drop across the screen ensures that a bias flow of cool air is produced; this flow protects the liner from the intense heat in the afterburner.

Our analysis was developed in answer to a clear need for a theory which can predict the optimal geometry and bias flow to produce a highly absorptive liner. We show that it is theoretically possible to absorb all the sound at a particular frequency. Experimental results are presented which show encouraging agreement with the theoretical predictions.

Screech is thought to be the excitation of a transverse resonant oscillation in the jet pipe, but the insertion of a liner inevitably changes the frequency of such resonances because the boundary condition at the wall is altered. We examine the effect of a liner on the resonances which occur in a cylinder and show that a well-designed liner may suppress resonances over a range of frequencies.

The effect of the hot axial jet flow on the performance of a liner has not previously received attention. A simple model to account for this flow is included in our analysis.

Type
Research Article
Copyright
© 1990 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Abramowitz, M. & Stegun, I. A., 1965 Handbook of Mathematical Functions. Dover.
Barthel, F.: 1958 Untersuchungen über nichtlineare Helmholtz-Resonatoren (Investigations on nonlinear Helmholtz resonators). Frequenz 12, 111.Google Scholar
Bechert, D. W.: 1980 Sound absorption caused by vorticity shedding, demonstrated with a jet flow. J. Sound Vib. 70, 389405.Google Scholar
Blackman, A. W.: 1960 Effect of nonlinear losses on the design of absorbers for combustion in stabilities. Am. Rocket Soc. J., November, 1022–1028.Google Scholar
Bloxsidge, G. J., Dowling, A. P. & Langhorne, P. J., 1988 Reheat buzz: an acoustically coupled combustion instability. Part 2. Theory. J. Fluid Mech. 193, 445473.Google Scholar
Boden, H. & Abom, M., 1986 Influence of errors on the two-microphone method for measuring acoustic properties in ducts. J. Acoust. Soc. Am. 79, 541549.Google Scholar
Cummings, A.: 1983 Acoustic nonlinearities and power losses at orifices. AIAA J. 22, 786792.Google Scholar
Cummings, A.: 1984 Transient and multiple frequency sound transmission through perforated plates at high amplitude. AIAA Paper 84–2311.Google Scholar
Dean, P. D. & Tester, B. J., 1975 Duct wall impedance control as an advanced concept for acoustic suppression. NASA CR-134998.Google Scholar
Garrison, G. D., Schnell, A. C., Baldwin, C. D. & Russel, P. R., 1969 Suppression of combustion oscillations with mechanical damping devices. Interim Rep. Pratt & Whitney Aircraft FR-3299.
Howe, M. S.: 1979 On the theory of unsteady high Reynolds number flow through a circular aperture. Proc. R. Soc. Lond. A 366, 205223.Google Scholar
Ingard, U. & Labate, S., 1950 Acoustic circulation effects and the nonlinear impedance of orifices. J. Acoust. Soc. Am. 22, 211218.Google Scholar
Leppington, F. G. & Levine, H., 1973 Reflexion and transmission at a plane screen with periodically arranged circular or elliptical apertures. J. Fluid Mech. 61, 109127.Google Scholar
Lewis, G. D. & Garrison, G. D., 1971 The role of acoustic absorbers in preventing combustion instability. AIAA Paper 71-699.Google Scholar
Markstein, G. H.: 1964 Non-steady Flame Propagation. Pergamon.
Melling, T. H.: 1973 The acoustic impedance of perforates at medium and high sound pressure levels. J. Sound Vib. 29, 165.Google Scholar
Morse, P. M. & Ingard, K. U., 1968 Theoretical Acoustics. McGraw-Hill.
Rayleigh, Lord: 1899 On the theory of resonance. In Scientific Papers, Vol. 1. Cambridge University Press.
Rayleigh, Lord: 1945 The Theory of Sound, vol. ii. Dover, re-issue.
Seybert, A. F. & Ross, D. F., 1977 Experimental determination of acoustic properties using a two-microphone random-excitation technique. J. Acoust. Soc. Am. 61, 13621370.Google Scholar
Seybert, A. F. & Soenarko, B., 1981 Error analysis of spectral estimates with application to the measurement of acoustic parameters using random sound fields in ducts. J. Acoust. Soc. Am. 69, 11901199.Google Scholar
Zinn, B. T.: 1970 A theoretical study of non-linear damping by Helmholtz resonators. J. Sound Vib. 13, 347356.Google Scholar