Application of the spatial averaging theorem to radiative heat transfer in two-phase media

The spatial averaging theorem is applied to rigorously derive continuum-scale equations of radiative transfer in two-phase media consisting of arbitrary-type phases in the limit of geometrical optics. The derivations are based on the equations of radiative transfer and the corresponding boundary con...

Full description

Saved in:
Bibliographic Details
Published inJournal of quantitative spectroscopy & radiative transfer Vol. 111; no. 1; pp. 253 - 258
Main Authors Lipiński, W., Petrasch, J., Haussener, S.
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 2010
Subjects
Monte Carlo
Porous media
Radiative properties
Radiative transfer
Porous media
Radiative transfer
Radiative properties
Monte Carlo
Online AccessGet full text

Cover

More Information
Summary:The spatial averaging theorem is applied to rigorously derive continuum-scale equations of radiative transfer in two-phase media consisting of arbitrary-type phases in the limit of geometrical optics. The derivations are based on the equations of radiative transfer and the corresponding boundary conditions applied at the discrete-scale to each phase, and on the discrete-scale radiative properties of each phase and the interface between the phases. The derivations confirm that radiative transfer in two-phase media consisting of arbitrary-type phases in the range of geometrical optics can be modeled by a set of two continuum-scale equations of radiative transfer describing the variation of the average intensities associated with each phase. Finally, a Monte Carlo based methodology for the determination of average radiative properties is discussed in the light of previous pertinent studies.
ISSN:0022-4073
1879-1352
DOI:10.1016/j.jqsrt.2009.08.001