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Asymptotic Approximations for the Sound Generated by Aerofoils in Unsteady Subsonic Flows

  • Lorna¬†Ayton
Book

Part of the Springer Theses book series (Springer Theses)

About this book

Introduction

This thesis investigates the sound generated by solid bodies in steady subsonic flows with unsteady perturbations, as is typically used when determining the noise generated by turbulent interactions. The focus is predominantly on modelling the sound generated by blades within an aircraft engine, and the solutions are presented as asymptotic approximations. Key analytical techniques, such as the Wiener-Hopf method, and the matched asymptotic expansion method are clearly detailed. The results allow for the effect of variations in the steady flow or blade shape on the noise generated to be analysed much faster than when solving the problem numerically or considering it experimentally.

Keywords

Asymptotic Approximations for Noise Gust-aerofoil Interaction Noise Generated by Turbulence Rapid Distortion Theory Wiener-Hopf Method

Authors and affiliations

  • Lorna¬†Ayton
    • 1
  1. 1.Centre for Mathematical SciencesUniversity of CambridgeCambridgeUnited Kingdom

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