Sound absorption by a screen with a regular array of slits

Abstract Perforated plates are used extensively to absorb sound. A screen perforated by a regular array of parallel slits, with a mean bias flow through the slits, is investigated. The interaction between an incident sound wave and this mean flow converts acoustical energy into unsteady vortical motion. This vorticity radiates sound ineffectively, so that a significant proportion of the incident energy may be absorbed. The presence of a mean bias flow therefore leads to a linear mechanism of sound absorption. The maximum absorption coefficient from an isolated screen is found to be 1 2 , but it can be greatly increased by placing a rigid surface behind the screen. It is predicted theoretically that a backed screen with parallel slits can absorb all the sound incident on it, provided the gap between the screen and the rigid surface is approximately one-quarter of a wavelength and the mean flow velocity through the slits is chosen appropriately. Experimental results are presented which show encouraging agreement with the theory.

[1]  F. G. Leppington The effective compliance of perforated screens , 1977 .

[2]  J. E. Williams,et al.  The acoustics of turbulence near sound-absorbent liners , 1972, Journal of Fluid Mechanics.

[3]  Istvan L. Ver Practical Examples of Noise and Vibration Control: Case History of Consulting Projects , 1990 .

[4]  J. Conway,et al.  Functions of a Complex Variable , 1964 .

[5]  A. M. Cargill,et al.  Low-frequency sound radiation and generation due to the interaction of unsteady flow with a jet pipe , 1982, Journal of Fluid Mechanics.

[6]  Michael S. Howe,et al.  Attenuation of sound in a low Mach Number nozzle flow , 1979, Journal of Fluid Mechanics.

[7]  D. W. Bechert,et al.  Sound absorption caused by vorticity shedding, demonstrated with a jet flow☆ , 1980 .

[8]  D. Crighton The Kutta Condition in Unsteady Flow , 1985 .

[9]  M. S. Howe Contributions to the theory of aerodynamic sound, with application to excess jet noise and the theory of the flute , 1975, Journal of Fluid Mechanics.

[10]  A. Dowling,et al.  The absorption of sound by perforated linings , 1990, Journal of Fluid Mechanics.

[11]  M. Lighthill,et al.  Waves In Fluids , 2002 .

[12]  M. S. Howe The influence of vortex shedding on the diffraction of sound by a perforated screen , 1980, Journal of Fluid Mechanics.

[13]  M. S. Howe,et al.  On the theory of unsteady high Reynolds number flow through a circular aperture , 1979, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[14]  M. S. Howe,et al.  An Experimental Study of the Influence of Mean Flow on Acoustic Dissipation by Vorticity Production at Edges , 1986 .

[15]  P. Morse,et al.  Methods of theoretical physics , 1955 .

[16]  M. S. Howe On the diffraction of sound by a screen with circular apertures in the presence of a low Mach number grazing flow , 1980, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[17]  Peter A. Monkewitz The response of Helmholtz resonators to external excitation. Part 2. Arrays of slit resonators , 1985 .

[18]  Ann P. Dowling,et al.  Sound and Sources of Sound , 1983 .

[19]  U. Ingard,et al.  Acoustic Circulation Effects and the Nonlinear Impedance of Orifices , 1950 .

[20]  H. Glauert The elements of aerofoil and airscrew theory , 1926 .

[21]  A. F. Seybert,et al.  Experimental determination of acoustic properties using a two‐microphone random‐excitation technique , 1977 .

[22]  F. G. Leppington,et al.  Reflexion and transmission at a plane screen with periodically arranged circular or elliptical apertures , 1973, Journal of Fluid Mechanics.

[23]  Michael S. Howe Attenuation of sound due to vortex shedding from a splitter plate in a mean flow duct , 1986 .