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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.

Physics. --- Acoustics. --- Engineering Acoustics. --- Mathematical Methods in Physics. --- Mathematical Modeling and Industrial Mathematics. --- Mathematical physics. --- Acoustics in engineering. --- Physique --- Physique mathématique --- Acoustique --- Physics --- Physical Sciences & Mathematics --- Acoustics & Sound --- Aerodynamic noise --- Aerofoils --- Unsteady flow (Aerodynamics) --- Mathematical models. --- Research. --- Aerodynamics, Unsteady --- Flow, Transient (Aerodynamics) --- Flow, Unsteady (Aerodynamics) --- Transient flow (Aerodynamics) --- Unsteady aerodynamics --- Airfoils --- Acoustical engineering. --- Aerodynamics --- Unsteady flow (Fluid dynamics) --- Noise --- Turbulence --- Physical mathematics --- Mathematics --- Models, Mathematical --- Simulation methods --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics --- Acoustic engineering --- Sonic engineering --- Sonics --- Sound engineering --- Sound-waves --- Engineering --- Industrial applications