Abstract

In the previous chapters the basic equations for flow noise have been developed based on Lighthill's acoustic analogy, which gives the radiated sound in terms of sources in the flow and sources on surfaces that bound the flow. To obtain the surface source terms we need to solve a boundary value problem, but Lighthill's analogy is not ideally suited for this because it only describes acoustic waves propagating in a stationary medium. In practice, surfaces immersed in a turbulent flow will generate sound through their interaction with the turbulence. Predicting this type of sound generation involves two distinct physical mechanisms: the distortion of the turbulence by the flow around the body, and the generation of unsteady pressures on the surface as a response to that turbulence. To address these issues we will now discuss an alternate formulation based on the linearization of the Euler equations, which assume that the fluid is isentropic and inviscid.

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