Abstract

A sphere, whose radius changes in time, moves with non-uniform speed along a straight line through an inviscid compressible fluid. The acoustic velocity potential is determined asymptotically when the characteristic speed U 0 of the sphere is small compared with the mean sound speed c 0 in the fluid. It is assumed that both the sphere radius and the translational speed vary slowly, with appreciable change on a time scale t 0 = a 0 / U 0 , where a 0 is a characteristic radius; furthermore, the sphere is assumed to be compact, in the sense that the ratio between its radius and a typical wavelength is small. The sound field is expressed by means of moving source and dipole potentials in a fashion that appears simpler and more general than previously given.

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