International Journal of Fluid Mechanics Research

DOI: 10.1615/InterJFluidMechRes.v30.i6.80

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Acoustical Resonators of a Complex Form with Partially Permeable Walls

I. Yu. Goncharova
Institute of Hydromechanics of National Academy of Sciences of Ukraine, Kyiv, Ukraine



ABSTRACT

The method of partial domains was used for the mathematical description of the wave propagation model for a multi-step resonator with partially permeable walls. The acoustical field in the resonator is excited by harmonically oscillating plane radiator. Behavior of the first resonance frequency depending on geometrical and physical parameters for the considered resonator is investigated on an example of the simplest plane and circular resonators. Dependence of resonance properties upon the number of steps is described. An example of an approximation of complex multi-step structure with a simple resonator is considered.