Determination of the surfaces radiosity temperatures in a square cavity with a square inner centred obstacle and a non-isothermal absorbing-emitting medium - Archive ouverte HAL Access content directly
Journal Articles International Journal of Thermal Sciences Year : 2021

Determination of the surfaces radiosity temperatures in a square cavity with a square inner centred obstacle and a non-isothermal absorbing-emitting medium

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V. Le Dez
  • Function : Author
M. Lazard
  • Function : Author
J.S. S Djeumegni
  • Function : Author

Abstract

An exact semi-analytical determination of the radiosity temperatures on the diffusely reflecting surfaces of a square cavity filled with a non-isothermal absorbing and emitting semi-transparent medium containing a centered reflecting opaque obstacle is proposed. One develops first the obstacle's surfaces radiosity temperatures formulation before detailing all the different possible configurations existing for the cavity's surfaces radiosity temperatures determination. Thanks to the radiosity technique, the integrals solutions of the radiative transfer equation are calculated for all listed cases. Then, the numerical results of the radiosity temperatures are obtained from a Gauss quadrature and an adequate meshing grid, following an iterative scheme. The effects of different parameters such as the size of the internal obstacle, the emissivities and the absorption coefficient on the cavity's radiosity temperatures behavior have also been investigated.
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Dates and versions

hal-03388981 , version 1 (20-10-2021)

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V. Le Dez, M. Lazard, J.S. S Djeumegni. Determination of the surfaces radiosity temperatures in a square cavity with a square inner centred obstacle and a non-isothermal absorbing-emitting medium. International Journal of Thermal Sciences, 2021, 165, pp.106953. ⟨10.1016/j.ijthermalsci.2021.106953⟩. ⟨hal-03388981⟩
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