期刊
APPLIED MATHEMATICAL MODELLING
卷 56, 期 -, 页码 51-64出版社
ELSEVIER SCIENCE INC
DOI: 10.1016/j.apm.2017.11.033
关键词
Radiative-conductive heat transfer; Two diffuse parallel plates; Analytical temperature solution; Analytical heat flux solution
资金
- French Government Program Investissement d'avenir (LABEX INTERACTIFS) [ANR-11-LABX-0017-01]
Explicit analytical solutions for the temperature and heat flux in a gray medium contained between two diffuse parallel plates are derived for both pure thermal radiation and coupled conduction-radiation heat transfer. This is achieved by combining the integral equations for the heat flux and temperature predicted by the radiative transfer equation with the corresponding predictions of the discrete ordinates method. The algebraic formulation of this well-known method is used to derive analytical results that agree with their corresponding numerical ones with an accuracy greater than 99.9%, for a large interval of optical thicknesses and conduction-to-radiation factors. The explicit and original solutions, for both pure radiation and radiative-conductive heat transfer, therefore solve the problem of one dimensional steady-state heat transfer in gray cavities. (C) 2017 Elsevier Inc. All rights reserved.
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