Propagation of nonlinear acoustic plane waves in an elastic gas-filled tube

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F09%3A00163327" target="_blank" >RIV/68407700:21230/09:00163327 - isvavai.cz</a>

Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

Propagation of nonlinear acoustic plane waves in an elastic gas-filled tube

Popis výsledku v původním jazyce

This paper deals with modeling of nonlinear plane acoustic waves propagating through an elastic tube filled with viscous gas. A description of the interactions between gas and an elastic tube wall is carried out by the continuity equation of a wall velocity. Simplification on the basis of the local reaction assumption enables to model an acoustic treatment on the tube wall by using a wall impedance. A special form of the Burgers equation was derived as a model equation that takes into account nonlinear,dissipative, and dispersion effects which compete each other. Characteristic lengths of the supposed effects and numerical results with respect to the source frequency were used for a qualitative analysis of the model equation. Applicability of this model equation was demonstrated by series of measurements. By application of the long-wave approximation the Korteweg-de Vries-Burgers and Kuramoto-Sivashinsky equations were derived from the modified Burgers equation.

Název v anglickém jazyce

Propagation of nonlinear acoustic plane waves in an elastic gas-filled tube

Popis výsledku anglicky

This paper deals with modeling of nonlinear plane acoustic waves propagating through an elastic tube filled with viscous gas. A description of the interactions between gas and an elastic tube wall is carried out by the continuity equation of a wall velocity. Simplification on the basis of the local reaction assumption enables to model an acoustic treatment on the tube wall by using a wall impedance. A special form of the Burgers equation was derived as a model equation that takes into account nonlinear,dissipative, and dispersion effects which compete each other. Characteristic lengths of the supposed effects and numerical results with respect to the source frequency were used for a qualitative analysis of the model equation. Applicability of this model equation was demonstrated by series of measurements. By application of the long-wave approximation the Korteweg-de Vries-Burgers and Kuramoto-Sivashinsky equations were derived from the modified Burgers equation.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BI - Akustika a kmity

OECD FORD obor

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Projekt

<a href="/cs/project/GA202%2F09%2F1509" target="_blank" >GA202/09/1509: Generování nízkofrekvenčních směrových akustických svazků</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2009

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA

ISSN

0001-4966

e-ISSN

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Svazek periodika

126

Číslo periodika v rámci svazku

4

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

9

Strana od-do

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Kód UT WoS článku

000270778600006

EID výsledku v databázi Scopus

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