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Sibirskii Zhurnal Industrial'noi Matematiki, 2017, Volume 20, Number 1, Pages 86–92
DOI: https://doi.org/10.17377/sibjim.2017.20.109 (Mi sjim951) 		 
Modeling the heating of dielectric media by electromagnetic radiation in nonlinear mode

I. L. Khabibullin, F. F. Nazmutdinov, N. K. Vakhitova

Bashkir State University, Z. Validie str., 32, 450076 Ufa
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DOI: https://doi.org/10.17377/sibjim.2017.20.109
Abstract: We consider the process of heating a propagating medium by high-frequency electromagnetic radiation in the presence of heat exchange with the ambient medium under the approximation of a thermally thin layer. It is shown that, due to competition between the processes of heat dissipation in the medium being heated and heat exchange with the ambient medium, the temperature profiles are realized in autowave form. Essential principles of the dynamics of temperature waves are established by inspecting the analytical and numerical solutions.
Keywords: dielectric heating, autowave mode, numerical simulation, heat exchange.
Received: 25.01.2016
English version:
Journal of Applied and Industrial Mathematics, 2017, Volume 11, Issue 1, Pages 82–87
DOI: https://doi.org/10.1134/S1990478917010094
Bibliographic databases:
Document Type: Article
UDC: 536.37+538.36
Language: Russian
Citation: I. L. Khabibullin, F. F. Nazmutdinov, N. K. Vakhitova, “Modeling the heating of dielectric media by electromagnetic radiation in nonlinear mode”, Sib. Zh. Ind. Mat., 20:1 (2017), 86–92; J. Appl. Industr. Math., 11:1 (2017), 82–87
Citation in format AMSBIB
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\paper Modeling the heating of dielectric media by electromagnetic radiation in nonlinear mode
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\jour J. Appl. Industr. Math.
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    		Сибирский журнал индустриальной математики
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