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Analysis of granular flow in a pebble-bed nuclear reactor

by: Chris H Rycroft, Gary S Grest, James W Landry, Martin Z Bazant
Physical Review E (Statistical, Nonlinear, and Soft Matter Physics), Vol. 74, No. 2. (2006)


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Pebble-bed nuclear reactor technology, which is currently being revived around the world, raises fundamental questions about dense granular flow in silos. A typical reactor core is composed of graphite fuel pebbles, which drain very slowly in a continuous refueling process. Pebble flow is poorly understood and not easily accessible to experiments, and yet it has a major impact on reactor physics. To address this problem, we perform full-scale, discrete-element simulations in realistic geometries, with up to 440  000 frictional, viscoelastic 6-cm-diam spheres draining in a cylindrical vessel of diameter 3.5  m and height 10  m with bottom funnels angled at 30° or 60°. We also simulate a bidisperse core with a dynamic central column of smaller graphite moderator pebbles and show that little mixing occurs down to a 1:2 diameter ratio. We analyze the mean velocity, diffusion and mixing, local ordering and porosity (from Voronoi volumes), the residence-time distribution, and the effects of wall friction and discuss implications for reactor design and the basic physics of granular flow.


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