Acoustics of a Splitter Plate

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Abstract
According to geometrical acoustics, zones of silence can occur when sound waves traverse flows. These zones are not often observed in practice. It is suggested that one reason for this in jet flows is that the sound scattered from the end of the jet-pipe penetrates the zone of silence to an appreciable extent. The conjecture is confirmed by considering a line source, oscillating harmonically in time, in the presence of a semi-infinite plate above which is a shear layer in which the velocity increases linearly over a finite distance and then remains constant. The edge wave is found to be dominant in the zone of silence and to be of the same order of magnitude as the refracted field outside. Refracted rays produced by complex rays in the fluid do not seem to be as important as the edge rays. The results are developed so as to allow quantitative investigation of more general configurations.

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