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:
-
- 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}
}