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Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]:
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Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, 2011, Issue 1(22), Pages 221–227
DOI: https://doi.org/10.14498/vsgtu851
(Mi vsgtu851)
 

Procedings of the 2nd International Conference "Mathematical Physics and its Applications"
Mechanics

Propagation of thermoelastic impulse through a cylindrical waveguide under sidewall heat interchanging

V. A. Kovaleva, Yu. N. Radaevb, R. A. Revinskiyc

a Dept. of Applied Mathematics, Moscow City Government University of Management Moscow
b Lab. of Modeling in Solid Mechanics, A. Ishlinsky Institite for Problems in Mechanics, Russian Academy of Sciences, Moscow
c Dept. of Mathematical Theory of Elasticity and Biomechanics, N. G. Chernyshevsky Saratov State University (National Research University), Faculty of Mathematics and Mechanics, Saratov
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Abstract: The paper is devoted to a study of coupled harmonic thermoelastic impulse guided propagation through an infinite circular cylinder. Heat interchanging is supposed to take place between sidewall of the waveguide and environment. The analysis is carried out according to the principles of coupled generalized thermoelasticity theory of type III (GNIII-thermoelasticity). This theory combines 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. Closed solution of the coupled GNIII-thermoelasticity equations satisfying the boundary conditions on the surface of waveguide is obtained by separation of variables. The analysis of frequency equation is given and wave numbers and modes of coupled thermoelastic waves of arbitrary order are obtained. The problems of coupled thermal and dynamic impulse propagation in the form of plane and normal waves in a free from tractions thermoisolated waveguide have been studied in our previous papers.
Keywords: thermoelasticity, GNIII-thermoelasticity, frequency equation, waveguide, wavenumber, wave mode.
Original article submitted 20/XI/2010
revision submitted – 11/II/2011
Bibliographic databases:
Document Type: Article
UDC: 539.3
MSC: 74F05
Language: Russian
Citation: V. A. Kovalev, Yu. N. Radaev, R. A. Revinskiy, “Propagation of thermoelastic impulse through a cylindrical waveguide under sidewall heat interchanging”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 1(22) (2011), 221–227
Citation in format AMSBIB
\Bibitem{KovRadRev11}
\by V.~A.~Kovalev, Yu.~N.~Radaev, R.~A.~Revinskiy
\paper Propagation of thermoelastic impulse through a cylindrical 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 1(22)
\pages 221--227
\mathnet{http://mi.mathnet.ru/vsgtu851}
\crossref{https://doi.org/10.14498/vsgtu851}
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  • https://www.mathnet.ru/eng/vsgtu/v122/p221
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Вестник Самарского государственного технического университета. Серия: Физико-математические науки
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    Abstract page:481
    Full-text PDF :220
    References:82
    First page:1
     
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