Abstract:
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.
Keywords:
thermomechanics, type III thermoelasticity, cross-coupled wave, frequency equation, waveguide, heat interchanging, wavenumber.
Original article submitted 19/V/2011 revision submitted – 02/VI/2011
Citation:
Yu. N. Radayev, M. V. Taranova, “Wavenumbers of type III thermoelastic waves in a long waveguide under sidewall heat interchanging”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2(23) (2011), 53–61
\Bibitem{RadTar11}
\by Yu.~N.~Radayev, M.~V.~Taranova
\paper Wavenumbers of type III thermoelastic waves in a long waveguide under sidewall heat interchanging
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2011
\vol 2(23)
\pages 53--61
\mathnet{http://mi.mathnet.ru/vsgtu965}
\crossref{https://doi.org/10.14498/vsgtu965}
Linking options:
https://www.mathnet.ru/eng/vsgtu965
https://www.mathnet.ru/eng/vsgtu/v123/p53
This publication is cited in the following 4 articles:
Dmitriy Shlyakhin, Maria Kalmova, ADVANCES IN SUSTAINABLE CONSTRUCTION MATERIALS, 2759, ADVANCES IN SUSTAINABLE CONSTRUCTION MATERIALS, 2023, 030009
Citation in format AMSBIB
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