Description and analysis of plane waves in a temperature-inhomogeneous region

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F15%3A00237895" target="_blank" >RIV/68407700:21230/15:00237895 - 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

Description and analysis of plane waves in a temperature-inhomogeneous region

Popis výsledku v původním jazyce

Both from a scientific and practical point of view behavior of acoustic waves within a temperature-inhomogeneous region represents an interesting issue. However, there is a limited class of temper-ature functions for which we know exact analytical solutions of corresponding model equations. Our work extends this class by a temperature function with an arbitrary temperature gradient, and unlike previously published works, the temperature function is smoothly connected with a temperature of surrounding temperature-homogeneous regions. For the chosen temperature function the model equation represents Heun?s equation that can be solved exactly using the Heun functions, which facilitates study of the behavior of acoustic waves. The only software package currently able to work with the Heun functions is MAPLE. Alternative ways for evaluations of those functions do not exist. However, the calculation of the Heun functions in MAPLE has some limitations that can be overcome with the help of F-h

Název v anglickém jazyce

Description and analysis of plane waves in a temperature-inhomogeneous region

Popis výsledku anglicky

Both from a scientific and practical point of view behavior of acoustic waves within a temperature-inhomogeneous region represents an interesting issue. However, there is a limited class of temper-ature functions for which we know exact analytical solutions of corresponding model equations. Our work extends this class by a temperature function with an arbitrary temperature gradient, and unlike previously published works, the temperature function is smoothly connected with a temperature of surrounding temperature-homogeneous regions. For the chosen temperature function the model equation represents Heun?s equation that can be solved exactly using the Heun functions, which facilitates study of the behavior of acoustic waves. The only software package currently able to work with the Heun functions is MAPLE. Alternative ways for evaluations of those functions do not exist. However, the calculation of the Heun functions in MAPLE has some limitations that can be overcome with the help of F-h

Druh

D - Stať ve sborníku

CEP obor

BI - Akustika a kmity

OECD FORD obor

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Projekt

<a href="/cs/project/GA15-23079S" target="_blank" >GA15-23079S: Šíření akustických vln nelokálními disperzními zónami</a><br>

Návaznosti

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

Rok uplatnění

2015

Kód důvěrnosti údajů

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

Název statě ve sborníku

Proceedings of the 22nd International Congress on Sound and Vibration

ISBN

978-88-88942-48-3

ISSN

2329-3675

e-ISSN

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Počet stran výsledku

7

Strana od-do

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Název nakladatele

International Institute of Acoustics and Vibration

Místo vydání

Auburn

Místo konání akce

Florence

Datum konání akce

12. 7. 2015

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

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