One-group steady state diffusion in a heterogeneous slab

B. Ganapol

Mathematics and Computers in Simulation (MATCOM), 2010, vol. 80, issue 11, 2142-2158

Abstract: We derive a customized solution to the diffusion equation in a heterogeneous slab with an arbitrary contiguous source. While aspects of solution have previously been reported in the literature, its full explicit form as presented here by solving a 3-term recurrence, has not. We conclude with a series of exercises demonstrating the utility of the solution.

Keywords: Neutron diffusion; Criticality; Analytical solution; Recurrence (search for similar items in EconPapers)
Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:80:y:2010:i:11:p:2142-2158

DOI: 10.1016/j.matcom.2010.04.008

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