Effect of mean flow on the acoustic trapped modes of a cavity-duct system
Keywords:Codes (standards), Ducts, Numerical methods, Optimization, Resonance, Acoustic Perturbation Equations (APE), Acoustic resonance, Acoustic resonance frequency
AbstractThe effect of mean flow on the embedded trapped acoustic mode of a two-dimensional cavity mounted at the middle of a rectangular duct is investigated numerically as a step toward improving the prediction of acoustic power. The numerical method is based on solving the Acoustic Perturbation Equations (APE) developed by Ewert & Schroder. A CAA code is developed to solve the 2-D governing equations. The spatial derivatives are calculated using the optimized prefactored compact scheme. The time derivatives are calculated using 5/6 stage low dissipation and dispersion Runge-Kutta scheme in the 2N-Storage form. This study shows that the developed CAA code is capable of simulating the convection and refraction effect of the mean flow on the acoustic resonance modes. The simulation results show that the acoustic resonance frequency decreases with the square of the mean flow Mach number.
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