Fluid Mechanical Model of the Acoustic Impedance of Small Orifices |
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acoustic behavior acoustic flow ACOUSTIC IMPEDANCE acoustic pressure acoustic velocity amplitude approaching the orifice assumed behavior of orifices boundary condition boundary-layer cavity containing the orifice cos(t D*+L defined by Eqn displacement thickness driving pressure end correction equations flow field fluid mechanical function f given by Eqn incident acoustic incident sound pressure incompressible inflow Ingard and Ising Ingard and Ising's inviscid Ising and Thurston linear regime low sound pressure no-slip boundary condition nonlinear acoustic nonlinear regime orifice behaves orifice diameter orifice impedance orifice inlet velocity orifice reactance orifice resistance orifice thickness orifice velocity oscillating P₁ predicting orifice quasi-steady manner radial resistance and reactance Reynolds number sin(t slug mass solution to Eqn sound field sound pressure levels specified by Eqn spherical flow Substituting Eqn time-averaged discharge coefficient u₁ values vena contracta viscous VISCOUS TERMS yields ди дио