Lorna Ayton Bücher

The study explores sound generation by solid bodies in steady subsonic flows affected by unsteady perturbations, emphasizing noise from aircraft engine blades. It presents asymptotic approximation solutions using advanced analytical techniques, including the Wiener-Hopf method and matched asymptotic expansion. These methods enable quicker analysis of how changes in steady flow or blade shape impact noise, offering a more efficient alternative to numerical or experimental approaches.

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.