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Article Dans Une Revue Applied Mathematical Modelling Année : 2018

Analytical description of the radiative-conductive heat transfer in a gray medium contained between two diffuse parallel plates

Résumé

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.

Dates et versions

hal-02308684 , version 1 (08-10-2019)

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Jose Ordonez-Miranda, Denis Lemonnier, Younes Ezzahri, Karl Joulain. Analytical description of the radiative-conductive heat transfer in a gray medium contained between two diffuse parallel plates. Applied Mathematical Modelling, 2018, 56, pp.51-64. ⟨10.1016/j.apm.2017.11.033⟩. ⟨hal-02308684⟩
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