Abstract
The sound field induced by a cylinder moving perpendicular to its length in an inviscid, compressible fluid is determined. The cylinder has elliptic cross section with semimajor axis a´ and its velocity, characterized by U 0 , varies on the timescale t 0 = a´ / U 0 and is small compared with c 0 , the mean sound speed in the fluid. It is also assumed that a´ is very much less than c 0 t 0 , a characteristic wavelength, so that the cylinder is compact. By using a modified matching argument, an asymptotic solution for the velocity potential is obtained. In particular, the acoustic field at distances much greater than á is described in terms of moving line source and multipole potentials whose singularities lie at the centre of the cylinder.
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More From: Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences
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