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

This article is cited in 11 scientific papers (total in 11 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

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English version:
High Temperature, 2017, 55:5, 761–766

Bibliographic databases:

UDC: 536.21
Received: 15.06.2016

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
\by V.~F.~Formalev, S.~A.~Kolesnik, E.~L.~Kuznetsova
\paper Time-dependent heat transfer in a plate with anisotropy of general form under the action of pulsed heat sources
\jour TVT
\yr 2017
\vol 55
\issue 5
\pages 778--783
\jour High Temperature
\yr 2017
\vol 55
\issue 5
\pages 761--766

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    1. V. V. Korenevsky, E. A. Mordik, M. M. Tamov, “Reduction of the actual modulus of elasticity to the design temperature”, Period. Tche Quim., 15:1 (2018), 98–102  isi
    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
    5. A. G. Getmanov, L. N. Rabinskiy, “Assessment of durability of coatings in difficult stress conditions”, Period. Tche Quim., 16:33 (2019), 490–497  isi
    6. I. S. Belashova, L. N. Rabinskiy, V O. Turshavina, “Evaluation of hardening efficiency with convective heat and mass transfer mechanism during laser surface alloying in reflow mode”, Period. Tche Quim., 16:33 (2019), 498–504  isi
    7. L. N. Rabinskiy, “Non-stationary problem of the plane oblique pressure wave diffraction on thin shell in the shape of parabolic cylinder”, Period. Tche Quim., 16:32 (2019), 328–337  isi
    8. N. S. Severina, “Software complex for solving the different tasks of physical gas dynamics”, Period. Tche Quim., 16:32 (2019), 424–436  isi
    9. V. F. Formalev, S. A. Kolesnik, E. L. Kuznetsova, “Approximate analytical solution of the problem of conjugate heat transfer between the boundary layer and the anisotropic strip”, Period. Tche Quim., 16:32 (2019), 572–582  isi
    10. V. F. Formalev, S. A. Kolesnik, E. L. Kuznetsova, “Mathematical modeling of a new method of thermal protection based on the injection of special coolants”, Period. Tche Quim., 16:32 (2019), 598–607  isi
    11. V. F. Formalev, “On the universal law of the decomposition of thermal-protective binder composite materials at high temperatures”, High Temperature, 58:1 (2020), 92–96  mathnet  crossref  crossref  isi  elib
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