Radiative transfer in a semi-transparent medium enclosed in a spherical annulus with specularly reflecting surfaces

The behaviour of the radiative field inside an emitting-absorbing gray semi-transparent medium at radiative equilibrium, enclosed in a spherical annular cavity bounded by specularly reflecting hot surfaces, is described in an exact analytical way. In this approach, the incident radiation and the rad...

Full description

Saved in:
Bibliographic Details
Published in:International journal of thermal sciences 2019-04, Vol.138, p.47-60
Main Authors: Le Dez, Vital, Sadat, Hamou, Prax, Christian
Format: Article
Language:English
Subjects:
Engineering Sciences
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The behaviour of the radiative field inside an emitting-absorbing gray semi-transparent medium at radiative equilibrium, enclosed in a spherical annular cavity bounded by specularly reflecting hot surfaces, is described in an exact analytical way. In this approach, the incident radiation and the radiative flux are expressed as a linear combination of the internal temperatures power 4 at each point of the medium, whatever the reflection on the boundary surfaces is, the coefficients of the combination being the weighting coefficients determined from an analytical way. Some examples show that the proposed method gives perfectly smooth results of high accuracy for both the temperature and flux fields inside the medium. •A semi-analytical analysis to the radiative transfer in spherical annuli is presented.•Specular reflection at the boundary surfaces has been investigated.•Weight coefficients which describe completely the problem have been defined and calculated.•Numerical situations are presented and compared with the case of diffuse reflection.
ISSN:1290-0729
1778-4166
DOI:10.1016/j.ijthermalsci.2018.12.027