Asymptotic limits of a statistical transport description
作者:
F. Malvagi,
C.D. Levermore,
G.C. Pomraning,
期刊:
Transport Theory and Statistical Physics
(Taylor Available online 1989)
卷期:
Volume 18,
issue 3-4
页码: 287-311
ISSN:0041-1450
年代: 1989
DOI:10.1080/00411458908204690
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
We consider three different asymptotic limits of a model describing linear particle transport in a stochastic medium consisting of two randomly mixed immiscible fluids. These three limits are: (1) the fluid packets are small compared to the particle mean free path in the packet; (2) a small amount of large cross section fluid is admixed with a large amount of small cross section fluid; and (3) the angular dependence of the intensity (angular flux) is nearly isotropic. The first two limits reduce the underlying model, which consists of two coupled transport equations, to a single transport equation of the usual form. The third limit yields a two-equation diffusion approximation, and a boundary layer analysis gives boundary conditions for these two coupled diffusion equations.
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