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This article is cited in 49 scientific papers (total in 49 papers)
Steady-state problem of complex heat transfer
A. E. Kovtanyukab, A. Yu. Chebotarevab a Institute of Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences, ul. Radio 7, Vladivostok, 690041, Russia
b Far Eastern Federal University, ul. Sukhanova 8, Vladivostok, 690950, Russia
Abstract:
The problem of radiative-conductive-convective heat transfer in a three-dimensional domain is studied. The existence of a weak solution of the problem is proved, and sufficient conditions for the uniqueness of a solution are found. The temperature distribution in a three-dimensional channel is determined in numerical experiments.
Key words:
radiative heat transfer equations, diffusion approximation, nonlocal solvability.
Received: 26.06.2013 Revised: 24.09.2013
Citation:
A. E. Kovtanyuk, A. Yu. Chebotarev, “Steady-state problem of complex heat transfer”, Zh. Vychisl. Mat. Mat. Fiz., 54:4 (2014), 711–719; Comput. Math. Math. Phys., 54:4 (2014), 719–726
Linking options:
https://www.mathnet.ru/eng/zvmmf10024 https://www.mathnet.ru/eng/zvmmf/v54/i4/p711
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Abstract page: | 392 | Full-text PDF : | 115 | References: | 70 | First page: | 19 |
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