Brief note on the theoretical behaviour of a variable neck section helmholtz resonator cavity

Abstract

It is well known that the resonance frequency (f) of a Helmholtz resonator depends on sound speed, neck section, neck length and on the resonator cavity volume. The purpose of this paper is to find f when the resonator neck section is not constant. It is found that a convergent neck leads to a resonance frequency dimunition and that a divergent neck leads to a resonance frequency augmentation.