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Adaptive collocation method for simultaneous heat and mass diffusion with phase change [electronic resource].

Published
Argonne, Ill. : Argonne National Laboratory, 1983.
Oak Ridge, Tenn. : Distributed by the Office of Scientific and Technical Information, U.S. Dept. of Energy.
Physical Description
Pages: 31 : digital, PDF file
Additional Creators
Argonne National Laboratory and United States. Department of Energy. Office of Scientific and Technical Information
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Summary
In post-accident heat removal applications the use of a lead slab is being considered for protecting a porous bed of steel shot in ex-vessel cavity from direct impingement of molten steel or fuel as released from reactor vessel following a hypothetical core disassembly accident in an LMFBR. The porous bed is provided to increase the coolability of the fuel debris by the sodium coolant. The present study is carried out to determine melting rates of a lead slab of various thicknesses by contact with sodium coolant and to evaluate the extent of penetration and the mixing rates of molten lead into liquid sodium by molecular diffusion alone. The study shows that these two calculations cannot be performed simultaneous without the use of adaptive coordinates which cause considerable stretching of the physical coordinates for mass diffusion. Because of the large difference in densities of these two liquid metals, the traditional constant density approximation for the calculation of mass diffusion cannot be used for studying their interdiffusion. The use of orthogonal collocation method along with adaptive coordinates produces extremely accurate results which are ascertained by comparing with the existing analytical solutions for concentration distribution for the case of constant density approximation and for melting rates for the case of infinite lead slab. The analysis further shows that the melting rate progressively increases as the thickness of lead slab decreases.
Report Numbers
E 1.99:conf-830702-30
conf-830702-30
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Note
Published through SciTech Connect.
01/01/1983.
"conf-830702-30"
"DE85004816"
21. ASME/AIChE national heat transfer conference, Seattle, WA, USA, 24 Jul 1983.
Minkowycz, W.J.; Leaf, G.; Pedersen, D.R.; Chawla, T.C.; Shouman, A.R.
Funding Information
W-31-109-ENG-38
View MARC record | catkey: 14371970