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 ei ... mehr

Zugehörige Institution(en) am KIT |
Institut für Kern- und Energietechnik (IKET) |

Publikationstyp |
Zeitschriftenaufsatz |

Jahr |
2015 |

Sprache |
Englisch |

Identifikator |
ISSN: 1996-1073 KITopen ID: 1000052524 |

HGF-Programm |
32.01.12; LK 01 |

Erschienen in |
Energies |

Band |
8 |

Heft |
12 |

Seiten |
13829-13845 |

Bemerkung zur Veröffentlichung |
Gefördert durch den KIT-Publikationsfonds |

KIT – Die Forschungsuniversität in der Helmholtz-Gemeinschaft
KITopen Landing Page