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...
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Published in | Journal of quantitative spectroscopy & radiative transfer Vol. 111; no. 1; pp. 253 - 258 |
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Main Authors | , , |
Format | Journal Article |
Language | English |
Published |
Elsevier Ltd
2010
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Subjects | |
Online Access | Get full text |
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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. |
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ISSN: | 0022-4073 1879-1352 |
DOI: | 10.1016/j.jqsrt.2009.08.001 |