Jj. Keller et E. Zauner, ON THE USE OF HELMHOLTZ RESONATORS AS SOUND ATTENUATORS, Zeitschrift fur angewandte Mathematik und Physik, 46(3), 1995, pp. 297-327
In the present paper a nonlinear acoustic theory is proposed, to accur
ately describe the properties of a generalized type of Helmholtz reson
ators. The theory may be used as a layout tool to design sound attenua
tors for combustion facilities. The present investigation shows that,
in addition to the nonlinear effects, the effects due to thermoacousti
c boundary layers and the first frequency correction to the ''Helmholt
z approximation'' should be taken into account, in order to predict th
e frequency-dependent attenuation properties of Helmholtz attenuators
with the accuracy required by typical technical applications. A series
of experiments is presented which is used to validate the theoretical
predictions.