Inertial attached neck length of Helmholtz resonators

Abstract

We studied the inertial attached neck length (end correction) of different Helmholtz resonator configurations based on numerical calculations by the finite element method. First, we determined the eigenfrequency of the resonator, then on its basis, we calculated the attached neck length of the resonator. We analyzed the dependence of the attached neck length on the geometric parameters of the Helmholtz resonator. Using numerical calculations, we approximated the obtained dependences as analytic expressions.