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Asymptotic solutions of serial radial fuel shuffling

Chen, X.-N.; Kiefhaber, E.

Abstract:
In this paper, the mechanism of traveling wave reactors (TWRs) is investigated from the mathematical physics point of view, in which a stationary fission wave is formed by radial fuel drifting. A two dimensional cylindrically symmetric core is considered and the fuel is assumed to drift radially according to a continuous fuel shuffling scheme. A one-group diffusion equation with burn-up dependent macroscopic coefficients is set up. The burn-up dependent macroscopic coefficients were assumed to be known as functions of neutron fluence. By introducing the effective multiplication factor keff, a nonlinear eigenvalue problem is formulated. The 1-D stationary cylindrical coordinate problem can be solved successively by analytical and numerical integrations for associated eigenvalues keff. Two representative 1-D examples are shown for inward and outward fuel drifting motions, respectively. The inward fuel drifting has a higher keff than the outward one. The 2-D eigenvalue problem has to be solved by a more complicated method, namely a pseudo time stepping iteration scheme. Its 2-D asymptotic solutions are obtained together with certain eigenvalues keff for several fuel inward drifting speeds. ... mehr

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Volltext §
DOI: 10.5445/IR/1000052524
Originalveröffentlichung
DOI: 10.3390/en81212398
Scopus
Zitationen: 1
Web of Science
Zitationen: 1
Coverbild
Zugehörige Institution(en) am KIT Institut für Kern- und Energietechnik (IKET)
Publikationstyp Zeitschriftenaufsatz
Jahr 2015
Sprache Englisch
Identifikator ISSN: 1996-1073
urn:nbn:de:swb:90-525245
KITopen-ID: 1000052524
HGF-Programm 32.01.12 (POF III, LK 01)
Erschienen in Energies
Band 8
Heft 12
Seiten 13829-13845
Bemerkung zur Veröffentlichung Gefördert durch den KIT-Publikationsfonds
Nachgewiesen in Scopus
Web of Science
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