Abstract
The Green’s functions method is developed for the hyperbolic-type equations. The integral form of writing the analytical solutions of the corresponding boundary problems, which gives an exact solution of the wave equations in the particular case, is derived. A new effect of the influence of the thermally insulated moving boundary on the thermally stressed state of the region during the thermal shock is described. The dynamic reaction of the noncylindrical region on the thermal shock is investigated.
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References
K. S. Demirchyan and P. A. Butyrin, Simulation and Computer Calculation of Electrical Circuits (Vysshaya Shkola, Moscow, 1983) [in Russian].
E. M. Kartashov and V. A. Kudinov, Analytical Theory of Thermal Conductivity and Applied Thermal Elasticity (URSS, Moscow, 2012) [in Russian].
E. M. Kartashov, Analytical Methods in the Thermal Conductivity Theory of Solids (Vysshaya Shkola, Moscow, 2001) [in Russian].
V. A. Il’in and E. G. Pozdnyak, Foundations of the Mathematical Analysis, Pt. 2 (Fizmatlit, Moscow, 2002) [in Russian].
E. M. Kartashov, “Analytical methods of solving the problems of thermal conductivity in the regions with moving boundaries (survey),” Inzh.-Fiz. Zh., 74(2), 171 (2001).
A. N. Tikhonov and A. A. Samarskii, Equations of Mathematical Physics (Nauka, Moscow, 1966) [in Russian].
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Original Russian Text © E.M. Kartashov, 2013, published in Izvestiya RAN. Energetika.
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Kartashov, E.M. Integral relations for the analytical solutions of hyperbolic transfer models. Therm. Eng. 60, 982–989 (2013). https://doi.org/10.1134/S0040601513130041
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DOI: https://doi.org/10.1134/S0040601513130041