|

Heat Transfer with Absorption in Anisotropic Thermal Protection of High-Temperature Products

Authors: Formalev V.F., Kolesnik S.A., Garibyan B.A. Published: 08.10.2019
Published in issue: #5(86)/2019  
DOI: 10.18698/1812-3368-2019-5-35-49

 
Category: Physics | Chapter: Thermal Physics and Theoretical Heat Engineering  
Keywords: heat transfer, absorption, anisotropic thermal protection, thermal conductivity tensor, heat flows, temperature, heat capacity, density, analytical solution, mathematical model, localization

The purpose of the research was to study the non-stationary heat transfer in anisotropic thermal protection under the action of unsteady heat flows distributed along the body, when there are thermal energy sinks inside the body, the energy being proportional to temperature, due to endothermic physical and chemical transformations. Thermal protection is made of anisotropic material, such as phenol-formaldehyde fiberglass, asboplastics, carbon-carbon plastics, etc. A new analytical solution has been obtained for the problem of plate heating under the action of unsteady heat flows distributed along the body. Using this solution, we studied the temperature fields when the components and orientation angles of the main axes of the thermal conductivity tensors of anisotropic heat-shielding materials were changed. Findings of research show that with increasing time, the temperature field inside the plate is localized and does not extend further than the limiting isotherm

The study was supported by a Russian Science Foundation (grant RSF no. 16-19-10340)

References

[1] Kartashov E.M. Analiticheskie metody v teorii teploprovodnosti tverdykh tel [Analytical methods in solids heat conduction theory]. Moscow, Vysshaya shkola Publ., 2001.

[2] Lykov A.V. Teoriya teploprovodnosti [Heat conduction theory]. Moscow, Vysshaya shkola Publ., 1967.

[3] Carslaw H.S., Jager J.C. Conduction of heat in solids. Oxford Univ. Press, 1959.

[4] Zarubin V.S., Kuvyrkin G.N., Savelyeva I.Y. Two-sided thermal resistance estimates for heat transfer through an anisotropic solid of complex shape. Int. J. Heat Mass Transf., 2018, vol. 116, pp. 833--839. DOI: https://doi.org/10.1016/j.ijheatmasstransfer.2017.09.054

[5] Attetkov A.V., Volkov I.K. Temperature field of the anisotropic half-space, which mobile boundary contains the film coating. Izvestiya RAN. Energetika [Proceedings of the Russian Academy of Sciences. Power Engineering], 2015, no. 3, pp. 39--49 (in Russ.).

[6] Formalev V.F., Kolesnik S.A. Analytical investigation of heat transfer in an anisotropic band with heat fluxes assigned at the boundaries. J. Eng. Phys. Thermophy., 2016, vol. 89, iss. 4, pp. 975--984. DOI: https://doi.org/10.1007/s10891-016-1460-2

[7] Formalev V.F., Kolesnik S.A. On inverse coefficient heat-conduction problems on reconstruction of nonlinear components of the thermal-conductivity tensor of anisotropic bodies. J. Eng. Phys. Thermophy., 2017, vol. 90, iss. 6, pp. 1302--1309. DOI: https://doi.org/10.1007/s10891-017-1687-6

[8] Formalev V.F., Kolesnik S.A., Selin I.A. Local non-equilibrium heat transfer in an anisotropic half-space affected by a non-steady state point heat source. Herald of the Bauman Moscow State Technical University, Series Natural Sciences, 2018, no. 5, pp. 99--111 (in Russ.). DOI: 10.18698/1812-3368-2018-5-99-111

[9] Bulychev N.A., Kuznetsova E.L., Bodryshev V.V., et al. Nanotechnological aspects of temperature-dependent decomposition of polymer solutions. Int. J. Nanomech. Sci. Tech., 2018, vol. 9, no. 2, pp. 91--97.

[10] Formalev V.F., Kolesnik S.A. Conjugate heat transfer between wall gasdynamic flows and anisotropic bodies. High Temp., 2007, vol. 45, iss. 1, pp. 760--84. DOI: https://doi.org/10.1134/S0018151X07010105

[11] Formalev V.F., Kolesnik S.A. On inverse boundary heat-conduction problems for recovery of heat fluxes to anisotropic bodies with nonlinear heat-transfer characteristics. High Temp., 2017, vol. 55, iss. 4, pp. 549--554.

[12] Formalev V.F., Kolesnik S.A. Temperature-dependent anisotropic bodies thermal conductivity tensor components identification method. Int. J. Heat Mass Transf., 2018, vol. 123, pp. 994--998. DOI: https://doi.org/10.1016/j.ijheatmasstransfer.2018.03.014