Finite element solution of the nonlinear coupled neutronic-energy equations for a fast reactor fuel cell. [Transient overpower accidents]
A transient overpower (TOP) accident in a Liquid Metal Fast Breeder Reactor (LMFBR) is considered. The analysis is formulated to model the dynamic response of the reactor fuel subassembly during the initial period of the postulated overpower transient. An equivalent cylindrical cell is used to model the fuel subassembly. The governing neutronic and heat transport equations for each region of the equivalent cylindrical cell are developed. Nuclear doppler broadening feedback is included in the dynamic model making the coupled equations non-linear. The resulting non-linear partial differential field equations are transformed into a system of ordinary differential equations by the finite element method. When using the finite element method, large system matrices may result. To facilitate solution of these large systems, an optimum compacting scheme is utilized. The results for a sample problem are presented.
- Research Organization:
- Naval Postgraduate School, Monterey, CA (USA)
- OSTI ID:
- 7213745
- Report Number(s):
- AD-A-035843
- Country of Publication:
- United States
- Language:
- English
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22 GENERAL STUDIES OF NUCLEAR REACTORS
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BREEDER REACTORS
EPITHERMAL REACTORS
FAST REACTORS
FBR TYPE REACTORS
FINITE ELEMENT METHOD
FUEL ASSEMBLIES
LIQUID METAL COOLED REACTORS
LMFBR TYPE REACTORS
MATHEMATICAL MODELS
NONLINEAR PROBLEMS
NUMERICAL SOLUTION
REACTOR CELLS
REACTORS
TRANSIENTS