Geodesic
Propagation of thermoelastic impulse through a cylindrical waveguide under sidewall heat interchanging
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 1 (2011), pp. 221-227

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@article{VSGTU_2011_1_a27,
     author = {V. A. Kovalev and Yu. N. Radaev and R. A. Revinskiy},
     title = {Propagation of thermoelastic impulse through a cylindrical waveguide under sidewall heat interchanging},
     journal = {Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences},
     pages = {221--227},
     publisher = {mathdoc},
     number = {1},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGTU_2011_1_a27/}
}
TY  - JOUR
AU  - V. A. Kovalev
AU  - Yu. N. Radaev
AU  - R. A. Revinskiy
TI  - Propagation of thermoelastic impulse through a cylindrical waveguide under sidewall heat interchanging
JO  - Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences
PY  - 2011
SP  - 221
EP  - 227
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/VSGTU_2011_1_a27/
LA  - ru
ID  - VSGTU_2011_1_a27
ER  - 
%0 Journal Article
%A V. A. Kovalev
%A Yu. N. Radaev
%A R. A. Revinskiy
%T Propagation of thermoelastic impulse through a cylindrical waveguide under sidewall heat interchanging
%J Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences
%D 2011
%P 221-227
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/VSGTU_2011_1_a27/
%G ru
%F VSGTU_2011_1_a27
V. A. Kovalev; Yu. N. Radaev; R. A. Revinskiy. Propagation of thermoelastic impulse through a cylindrical waveguide under sidewall heat interchanging. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 1 (2011), pp. 221-227. http://geodesic.mathdoc.fr/item/VSGTU_2011_1_a27/