Slip flow influence on acoustic characteristics of the Helmholtz resonator

The paper considers an analytical model of the Helmholtz resonator on the channel wall, and presents its transmission loss dependences on the geometric parameters. A finite element model of the Helmholtz resonator is elaborated with a slip flow in the channel, it formed the basis to obtain flow trajectories in the resonator throat. Numerical computation also makes it possible to determine the Helmholtz resonator transmission loss as a function of frequency for the different slip flow velocities. Based on the obtained transmission loss curves, the real and imaginary parts of the Helmholtz resonator impedance are determined, they are expressed as its acoustic resistance and the attached throat length. The paper presents these parameter dependences on the slip flow velocity and the Strouhal number for different values ??of the resonator throat diameter and length. The results obtained are making it possible to significantly improve the accuracy in computing efficiency of the noise mufflers with the Helmholtz resonators in the intake and exhaust systems of the internal combustion engines.
EDN: RQVYHK, https://elibrary/rqvyhk

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