## Acoustic Resonances and Sound Scattering by a Shear Layer |

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### Contents

Introduction | 4 |

Numerical Evaluation of the Energy Reflection | 13 |

Limiting Behavior of the Reflection | 17 |

3 other sections not shown

### Common terms and phrases

Acoustic Energy Flux ACOUSTIC RESONANCES aeroacoustics algorithm amplified reflection regime angle 9 angle of incidence behavior bounding the shear Brewster angle coefficient with upper complex reflection corresponding vortex sheet defined by eq Energy Flux Density energy reflection coefficient equation 9 equations 14 evaluated numerically Figure finite thickness shear fluid Mach number function geometrical acoustics limit given by equation Goldstein and Rice1 Graham and Graham1 independent solutions kTxX limiting form linear shear layer linear velocity profile lower signs lowest order mean flow non-dimensional parameter non-dimensional variable ordinary reflection regime parallel flows plane waves incident present studies pressure perturbation equation reflection and transmission Region z _ results of Graham scattering characteristics shear layer region sine solutions f terms of Whittaker thickness shear layer total reflection regime transmission coefficients transmitted wave uniform flow upper fluid Mach upper signs vortex sheet values wave vector Whittaker M-functions xsin9 zcos9