Modification to a previous higher order model for particle transport in binary stochastic media

The problem of particle transport and radiative transfer through a stochastic mixture of two immiscible materials is considered. When the material mixing process is assumed to obey Markovian statistics, an ensemble average of this stochastic transport equation leads to two coupled transport equation...

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Bibliographic Details
Published in:Journal of quantitative spectroscopy & radiative transfer 1995-11, Vol.54 (5), p.779-801
Main Authors: Su, Bingjing, Pomraning, G.C.
Format: Article
Language:English
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Summary:The problem of particle transport and radiative transfer through a stochastic mixture of two immiscible materials is considered. When the material mixing process is assumed to obey Markovian statistics, an ensemble average of this stochastic transport equation leads to two coupled transport equations containing four different ensemble-averaged unknowns. Modification to a previous higher order closure involving additional transport equations is suggested as a new closure. The closure philosophy is to demand that the closed set of equations reproduces certain exact limiting behaviors in rod geometry. To assess the accuracy of the proposed modification, numerical results predicted by this new higher order closure, for both the Markovian and the non-Markovian mixing statistics, are given and compared with exact benchmark results as well as with results from the standard closure available in the literature.
ISSN:0022-4073
1879-1352
DOI:10.1016/0022-4073(95)00110-7