Saturation of a nonlinear cylindrical sound wave generated by a sinusoidal source.

Autor:	Enflo, B. O.
Zdroj:	Journal of the Acoustical Society of America; 1985, Vol. 77 Issue 1, p54-60, 7p
Abstrakt:	The propagation of a cylindrical sound wave generated by a sinusoidal source is studied in a nonlinear case by means of a generalized Burgers' equation with two dimensionless parameters. The amplitude of the wave at a large distance from the source, where all higher harmonics are absorbed, is determined in a region for the two parameters where the amplitude is given by a single number not depending on the parameters. The method is to find a series expansion of the solution of the generalized Burgers' equation. The series converges both far from the source and in the Taylor shock region nearer to the source. Despite the slow convergence of the series in the latter region it is possible to find the desired amplitude by means of an asymptotic expression for the terms in the series and some numerical work. [ABSTRACT FROM AUTHOR]
Databáze:	Complementary Index
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