Estimation of finite heat distribution rate in the process of intensive heating of solids

DOI10.1134/S1995080222100079zbMath1502.80004OpenAlexW4312625212MaRDI QIDQ2095882

L. N. Rabinskiy, G. V. Fedotenkov, V. N. Dobryanskiy, A. A. Orekhov

Publication date: 15 November 2022

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080222100079

zbMATH Keywords

heat fluxinfluence functionsintegral transformationshyperbolic heat conductionheat distributiontransient function

Mathematics Subject Classification ID

Thermal effects in solid mechanics (74F05) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Laplace transform (44A10) Classical and relativistic thermodynamics (80A10) Lasers, masers, optical bistability, nonlinear optics (78A60) Second-order hyperbolic equations (35L10) Numerical integration (65D30) PDEs in connection with classical thermodynamics and heat transfer (35Q79)

Related Items (2)

Mathematical modeling of heat transfer in a plate during plasma spraying of thermal protection on it ⋮ On various equations of the analytical mechanics of thick-walled heterogeneous shells and some of their applications in wave dispersion problems

Cites Work

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• Heating of a half-space by a moving thermal laser pulse source
• Optimization of thermal protection panels subjected to intense heating and mechanical loading

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