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TVT, 2017, Volume 55, Issue 5, Pages 778–783 (Mi tvt10815)  

This article is cited in 4 scientific papers (total in 4 papers)

Heat and Mass Transfer and Physical Gasdynamics

Time-dependent heat transfer in a plate with anisotropy of general form under the action of pulsed heat sources

V. F. Formalev, S. A. Kolesnik, E. L. Kuznetsova

Moscow Aviation Institute (National Research University)

Abstract: An analytical solution to the problem of the theory of heat conduction in an anisotropic band under the pulsed (point) action of heat sources has been obtained for the first time by constructing the boundary influence function from using the Fourier and Laplace integral transforms. An arbitrary orientation of the principal axes of the thermal conductivity tensor and arbitrary (including negative) values of the off-diagonal components of the thermal conductivity tensor are taken into account. The found solution is extended to piecewise continuous densities of heat fluxes at the free boundaries of an anisotropic plate. The influences of the principal components and the orientation of the principal axes of the thermal conductivity tensor on time-dependent temperature fields in the anisotropic plate are determined. It is established that there are saddle points and separatrices dividing the temperature field into regions of influence of the boundary heat fluxes. The results are used to solve problems involving the thermal state of thermal protection made of anisotropic materials.

Funding Agency Grant Number
Ministry of Education and Science of the Russian Federation 9.7100.2017/бс
This study was supported by the Ministry of Education and Science of the Russian Federation, project no. 9.7100.2017/VU (supervised by E.L. Kuznetsova).


DOI: https://doi.org/10.7868/S0040364417050064

Full text: PDF file (710 kB)
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English version:
High Temperature, 2017, 55:5, 761–766

Bibliographic databases:

UDC: 536.21
Received: 15.06.2016
Accepted:18.04.2017

Citation: V. F. Formalev, S. A. Kolesnik, E. L. Kuznetsova, “Time-dependent heat transfer in a plate with anisotropy of general form under the action of pulsed heat sources”, TVT, 55:5 (2017), 778–783; High Temperature, 55:5 (2017), 761–766

Citation in format AMSBIB
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\vol 55
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    Citing articles on Google Scholar: Russian citations, English citations
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    2. L. N. Rabinskiy, V O. Tushavina, “Experimental investigation and mathematical modelling of heat protection subjected to high-temperature loading”, Period. Tche Quim., 15:1 (2018), 321–329  isi
    3. A. Alekseenkov, S. Ermakov, M. Kiselev, S. Konstantinov, Yu. Obolenskiy, “Temperature measurements at critical points of dual-mode electro-hydraulic actuator with combined rate control”, Period. Tche Quim., 15:1 (2018), 396–404  isi
    4. S. A. Yurchenko, “Refinement of the diatomic model of the interatomic interactions of Frenkel for the improvement of methods of non-destructive quality control”, Period. Tche Quim., 15:1 (2018), 482–493  isi
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