Wavenumbers of type III thermoelastic waves in a long waveguide under sidewall heat interchanging

Wavenumbers of type III thermoelastic waves in a long waveguide under sidewall heat interchanging

The paper presents a study of wavenumbers of coupled harmonic thermoelastic waves propagating via an infinite circular cylinder for higher azimuthal order. Heat interchanging between sidewall of the waveguide and environment is assumed. The analysis is carried in the frameworks of coupled generalize...

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Main Authors: M. V. Taranova, Yu. N. Radayev
Format: Article
Language:English
Published: Samara State Technical University 2011-06-01
Series:Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki
Online Access:http://mi.mathnet.ru/eng/vsgtu965
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spelling doaj-165467f5a772499da6bf8d9cf04c7dde2020-11-25T01:15:26ZengSamara State Technical UniversityVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki1991-86152310-70812011-06-012(23)536110.14498/vsgtu965 Wavenumbers of type III thermoelastic waves in a long waveguide under sidewall heat interchanging M. V. TaranovaYu. N. RadayevThe paper presents a study of wavenumbers of coupled harmonic thermoelastic waves propagating via an infinite circular cylinder for higher azimuthal order. Heat interchanging between sidewall of the waveguide and environment is assumed. The analysis is carried in the frameworks of coupled generalized thermoelasticity theory of type III (GNIII-thermoelasticity). This theory synthesizes thermodiffusion and wave mechanisms of heat transfer in solids including as limiting cases both the theories: classical thermoelasticity (GNI/CTE) and the theory of hyperbolic thermoelasticity (GNII). The latter permits field-theoretic formulation and leads to the field equations of hyperbolic analytical type. The two principal problems: separation of 32 independent single-valued square radicals involved in the frequency equation and more accurate computation of the real-valued wavenumbers are resolved and discussed. http://mi.mathnet.ru/eng/vsgtu965
collection DOAJ
language English
format Article
sources DOAJ
author M. V. Taranova
Yu. N. Radayev
spellingShingle M. V. Taranova
Yu. N. Radayev
Wavenumbers of type III thermoelastic waves in a long waveguide under sidewall heat interchanging
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki
author_facet M. V. Taranova
Yu. N. Radayev
author_sort M. V. Taranova
title Wavenumbers of type III thermoelastic waves in a long waveguide under sidewall heat interchanging
title_short Wavenumbers of type III thermoelastic waves in a long waveguide under sidewall heat interchanging
title_full Wavenumbers of type III thermoelastic waves in a long waveguide under sidewall heat interchanging
title_fullStr Wavenumbers of type III thermoelastic waves in a long waveguide under sidewall heat interchanging
title_full_unstemmed Wavenumbers of type III thermoelastic waves in a long waveguide under sidewall heat interchanging
title_sort wavenumbers of type iii thermoelastic waves in a long waveguide under sidewall heat interchanging
publisher Samara State Technical University
series Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki
issn 1991-8615
2310-7081
publishDate 2011-06-01
description The paper presents a study of wavenumbers of coupled harmonic thermoelastic waves propagating via an infinite circular cylinder for higher azimuthal order. Heat interchanging between sidewall of the waveguide and environment is assumed. The analysis is carried in the frameworks of coupled generalized thermoelasticity theory of type III (GNIII-thermoelasticity). This theory synthesizes thermodiffusion and wave mechanisms of heat transfer in solids including as limiting cases both the theories: classical thermoelasticity (GNI/CTE) and the theory of hyperbolic thermoelasticity (GNII). The latter permits field-theoretic formulation and leads to the field equations of hyperbolic analytical type. The two principal problems: separation of 32 independent single-valued square radicals involved in the frequency equation and more accurate computation of the real-valued wavenumbers are resolved and discussed.
url http://mi.mathnet.ru/eng/vsgtu965
work_keys_str_mv AT mvtaranova wavenumbersoftypeiiithermoelasticwavesinalongwaveguideundersidewallheatinterchanging
AT yunradayev wavenumbersoftypeiiithermoelasticwavesinalongwaveguideundersidewallheatinterchanging
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