Spherical nonlinear wave propagation in a dissipative stratified atmosphere
type: Item
instance of: scholarly article
title: Spherical nonlinear wave propagation in a dissipative stratified atmosphere
zbMATH Open document ID: 0761.76091
DOI: 10.1016/0165-2125(92)90052-4
author: I. P. Lee-Bapty
author: D. G. Crighton
published in: Wave Motion
publication date: 1993-04-01T00:00:00Z
review text: Nonlinear acoustic wave propagation is considered, for a signal which is initially sinusoidal at the input radius, subject to the effects of spherical spreading, exponential density stratification with altitude, and thermoviscous dissipation. A model equation is derived giving the signal variation along each straight line ray from the centre of symmetry, and in the form of a generalized Burgers equation. This equation is studied in the small-dissipation limit.
Mathematics Subject Classification ID: 76Q05
Mathematics Subject Classification ID: 86A10
zbMATH DE Number: 147208
zbMATH Keywords: spherical spreading
zbMATH Keywords: exponential density stratification
zbMATH Keywords: thermoviscous dissipation
zbMATH Keywords: ray
zbMATH Keywords: generalized Burgers equation
zbMATH Keywords: small-dissipation limit
MaRDI profile type: Publication
full work available at URL: 0165-2125(92)90052-4
OpenAlex ID: W2085342066
cites work: The hodograph transformation in trans-sonic flow. II. Auxiliary theorems on the hypergeometric functions ψ n (ז)
cites work: Q4151274
cites work: Q3048493
cites work: Asymptotic solutions of model equations in nonlinear acoustics
cites work: The Taylor internal structure of weak shock waves
cites work: Bäcklund transformations for nonlinear parabolic equations: the general results
cites work: Geometrical and diffusive effects in nonlinear acoustic propagation over long ranges
cites work: Evolution and decay of spherical and cylindrical N waves
cites work: Old-age behaviour of cylindrical and spherical nonlinear waves: numerical and asymptotic results
cites work: Propagation of sonic booms in the thermosphere
cites work: Supersonic flight in a stratified sheared atmosphere
cites work: Uniform asymptotics for spherical and cylindrical nonlinear acoustic waves generated by a sinusoidal source
cites work: The decay of sawtooth solutions to the Burgers equation
description: scientific article; zbMATH DE number 147208