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Title: Asymptotic Limits for Transport in Binary Stochastic Mixtures

Abstract

The Karhunen-Loeve stochastic spectral expansion of a random binary mixture of immiscible fluids in planar geometry is used to explore asymptotic limits of radiation transport in such mixtures. Under appropriate scalings of mixing parameters - correlation length, volume fraction, and material cross sections - and employing multiple- scale expansion of the angular flux, previously established atomic mix and diffusion limits are reproduced. When applied to highly contrasting material properties in the small cor- relation length limit, the methodology yields a nonstandard reflective medium transport equation that merits further investigation. Finally, a hybrid closure is proposed that produces both small and large correlation length limits of the closure condition for the material averaged equations.

Authors:
 [1]
  1. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Publication Date:
Research Org.:
Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1357350
Report Number(s):
LLNL-SR-730469
DOE Contract Number:  
AC52-07NA27344
Resource Type:
Technical Report
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 22 GENERAL STUDIES OF NUCLEAR REACTORS; 97 MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE

Citation Formats

Prinja, A. K. Asymptotic Limits for Transport in Binary Stochastic Mixtures. United States: N. p., 2017. Web. doi:10.2172/1357350.
Prinja, A. K. Asymptotic Limits for Transport in Binary Stochastic Mixtures. United States. https://doi.org/10.2172/1357350
Prinja, A. K. 2017. "Asymptotic Limits for Transport in Binary Stochastic Mixtures". United States. https://doi.org/10.2172/1357350. https://www.osti.gov/servlets/purl/1357350.
@article{osti_1357350,
title = {Asymptotic Limits for Transport in Binary Stochastic Mixtures},
author = {Prinja, A. K.},
abstractNote = {The Karhunen-Loeve stochastic spectral expansion of a random binary mixture of immiscible fluids in planar geometry is used to explore asymptotic limits of radiation transport in such mixtures. Under appropriate scalings of mixing parameters - correlation length, volume fraction, and material cross sections - and employing multiple- scale expansion of the angular flux, previously established atomic mix and diffusion limits are reproduced. When applied to highly contrasting material properties in the small cor- relation length limit, the methodology yields a nonstandard reflective medium transport equation that merits further investigation. Finally, a hybrid closure is proposed that produces both small and large correlation length limits of the closure condition for the material averaged equations.},
doi = {10.2172/1357350},
url = {https://www.osti.gov/biblio/1357350}, journal = {},
number = ,
volume = ,
place = {United States},
year = {Mon May 01 00:00:00 EDT 2017},
month = {Mon May 01 00:00:00 EDT 2017}
}