Abstract:
In this article the method for numerical solution of coefficient inverse problems of nonlinear heat transfer in anisotropic materials, used for heat shielding in aerodynamic heating of hypersonic craft (HC). At high temperatures the properties of anisotropic heat shield materials are characterized by nonlinear components of heat transfer tensor. It is necessary to identify and reconstruct these components by results of experimental measurements of temperature in spatial-temporal nodes.
The proposed method is based upon alternate-directions method with extrapolation for heat transfer problems, method of parametric identification and gradient descent method. There are results for reconstruction of heat transfer tensor components of carbon-carbon composite yielded via experimental values of nonlinear heat conduction of such materials. This method can be used for reconstruction of other numerous thermophysical characteristics of composites. Results of numerical experiments for identification of heat transfer tensor components of composites in 2D computational space are obtained and discussed.
Keywords:
inverse problems of heat transfer, heat conductivity, tensor of heat transfer, anisotropy, composite, numerical methods.
Citation:
S. A. Kolesnik, “A method for identification of nonlinear components of heat transer tensor for anisotropic materials”, Mat. Model., 26:2 (2014), 119–132; Math. Models Comput. Simul., 6:5 (2014), 480–489
\Bibitem{Kol14}
\by S.~A.~Kolesnik
\paper A method for identification of nonlinear components of heat transer tensor for anisotropic materials
\jour Mat. Model.
\yr 2014
\vol 26
\issue 2
\pages 119--132
\mathnet{http://mi.mathnet.ru/mm3453}
\transl
\jour Math. Models Comput. Simul.
\yr 2014
\vol 6
\issue 5
\pages 480--489
\crossref{https://doi.org/10.1134/S2070048214050044}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84925962310}
Linking options:
https://www.mathnet.ru/eng/mm3453
https://www.mathnet.ru/eng/mm/v26/i2/p119
This publication is cited in the following 9 articles:
S. A. Kolesnik, E. M. Stifeev, “Numerical Simulation of Inverse Retrospective Problems for a Two-Dimensional Heat Equation”, Lobachevskii J Math, 45:5 (2024), 2299
S. A. Kolesnik, E. M. Stifeev, “Numerical simulation of inverse retrospective problems for a nonlinear heat equation”, Math. Models Comput. Simul., 15:6 (2023), 1123–1131
Yao Koumekpo, Kossi Atchonouglo, Edo-Owodou Ayeleh, Arnaud Germaneau, Laettia Caillé, Jean-Christophe Dupré, “Estimation of thermophysic properties of a bimaterial by temperature field measurement and finite element model updating”, Mechanics & Industry, 24 (2023), 4
V. F. Formalev, N. A. Bulychev, E. L. Kuznetsova, S. A. Kolesnik, “The thermal state of a packet of cooled microrocket gas-dynamic lasers”, Tech. Phys. Lett., 46:3 (2020), 245–248
N. S. Severina, “Software complex for solving the different tasks of physical gas dynamics”, Period. Tche Quim., 16:32 (2019), 424–436
V. F. Formalev, S. A. Kolesnik, E. L. Kuznetsova, L. N. Rabinskiy, “Origination and propagation of temperature solitons with wave heat transfer in the bounded area during additive technological processes”, Period. Tche Quim., 16:33 (2019), 505–515
N. A. Bulychev, “Experimental Studies of Process of Hydrogen Synthesis in Plasma Discharge in a Liquid-Phase Stream”, Alʹternativnaâ ènergetika i èkologiâ, 2019, no. 4-6, 46
Vladimir F. Formalev, Sergey A. Kolesnik, Boris A. Garibyan, COMPUTATIONAL MECHANICS AND MODERN APPLIED SOFTWARE SYSTEMS (CMMASS'2019), 2181, COMPUTATIONAL MECHANICS AND MODERN APPLIED SOFTWARE SYSTEMS (CMMASS'2019), 2019, 020003
V. F. Formalev, E. L. Kuznetsova, E. L. Kuznetsova, “Mathematical modeling of the Stefan's problems with the determination of the coordinates and the velocities of the dynamically moving borders of phase transformations”, Period. Tche Quim., 15:1 (2018), 377–389
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