Analytical benchmark for non-equilibrium radiation diffusion in finite size systems

Annals of Nuclear Energy(2014)

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摘要
•Non-equilibrium radiation diffusion is analyzed in a finite slab and spherical shell.•Analytic expressions for radiation and material energy density are derived.•Analytical results are cross checked with numerical finite difference analysis.•Benchmark results for any slab or shell width can be obtained to the desired accuracy.
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关键词
Non-equilibrium radiation diffusion,Analytic solution,Finite planar slab,Spherical shell,Laplace transform method,Finite difference
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