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Artikel

Saturation of nonlinear spherical and cylindrical sound waves.

Författare:	Enflo, B.O.
Dokumenttyp:	Artikel
Tillstånd:	Publicerad
Tidskrift:	J. Acoust Soc. Am.
Volym:	99 1960-1964
År:	1996

Abstract

Nonlinear acoustic waves with spherical and cylindrical symmetry, described by a generalized Burgers` equation, are studied. A sine oscillation at the source is distorted into a sawtooth wave profile because of nonlinearity. Very far from the source (old-age region) the wave is again a sine wave solution of a wave equation in which the nonlinear term has grown so small that it can be neglected. In this paper the amplitude of the old-age wave, which is independent of the amplitude at the source (saturation), is determined for nonlinear sinusoidal spherical and cylindrical waves by analytical methods for a certain range of parameter values. The old-age amplitude in this range of parameter values was determined earlier by an approximate method, which overestimates the amplitude by a factor 1.36 in the plane-wave case. It is shown in this paper that this overestimation is still greater for spherical and cylindrical waves.