A. Selamet et al., THE HERSCHEL-QUINCKE TUBE - A THEORETICAL, COMPUTATIONAL, AND EXPERIMENTAL INVESTIGATION, The Journal of the Acoustical Society of America, 96(5), 1994, pp. 3177-3185
A general expression for the transmission loss characteristics of the
Herschel-Quincke tube is developed. This relationship eliminates the r
estrictions on duct cross-sectional area employed in earlier analytica
l studies. The attenuation of sound by this configuration is also stud
ied computationally in terms of a nonlinear one-dimensional finite-dif
ference model that solves the balance equations of mass, momentum, and
internal energy, coupled with the ideal gas equation of state. Transm
ission loss predictions from both analytical and computational models
are then shown to correlate well with experimental data acquired from
an extended impedance tube setup.