A transformation of the acoustic equation with implications for wind-tunnel and low-speed flight tests
K. Taylor
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Published: Nov 1, 1978
DOI: 10.1098/rspa.1978.0168
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Abstract This paper describes a transformation in time which reduces the equation governing the acoustic velocity potential, in a steady homentropic potential flow at low Mach number, to an ordinary wave equation. The transformation is applied when the basic flow is a uniform stream flowing past a fixed body. It is shown that, in coordinates fixed in the body, the flow has a very simple effect on the far field generated by a stationary compact sound source. This has important implications for the analysis of noise measurements from wind-tunnel and low-speed flight tests. The method can be extended to cases where the body surface is weakly vibrating.
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