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Title: Onedimensional homogenized reactor with natural uranium and with flattened specific output (English)
Author: Zezula, Rostislav
Language: English
Journal: Aplikace matematiky
ISSN: 0373-6725
Volume: 14
Issue: 4
Year: 1969
Pages: 323-336
Summary lang: English
Summary lang: Czech
Category: math
Summary: The problem of flattening the reactor specific output for the case of homogenized thermal critical reactor fueled with natural uranium is mathematically formulated (in the two-groups diffusion approximation and for onedimensional geometries) in the article. It is shown that this problem leads to a quasilinear biharmonic Cauchy's problem having a twoparametrical family of solutions $N(x;N_0,N"_0)$. The existence and stability of these solutions and the possibility of the optimization of the total reactor output by a proper choice of the parameters $N_0,N"_0$ is investigated. ()
DOI: 10.21136/AM.1969.103239
Date available: 2008-05-20T17:45:49Z
Last updated: 2020-07-28
Stable URL:
Reference: [1] V. Bartošek R. Zezula: Flat Flux in a Slab Reactor with Natural Uranium.Journal of Nuclear Energy Parts A/B, 1966, Vol. 20, pp. 129-134. 10.1016/0368-3230(66)90023-1
Reference: [2] V. Bartošek R. Zezula: Stability of flat thermal Flux in a slab reactor.Apl. Mat. 13 (1968), 367-375. MR 0243795
Reference: [3] R. Zezula: A Sufficient Condition for the Flattening of Thermal Neutron Flux and Some Related Problems.(in onedimensional geometries). Apl. Mat. 14 (1969), 134-145.
Reference: [4] R. Bellman: Stability Theory of Differential Equations;.Russian translation, Izd. Inostr. Lit., Moskva 1954. MR 0075365
Reference: [5] S. Lefschetz: Differential Equations: Geometric Theory.Interscience Publ., New York, London 1957. Zbl 0080.06401, MR 0094488
Reference: [6] K. Meyer: .Private communication (at the occasion of the Second German-Czechoslovak Colloquium on Reactor Physics, held at Baabe, Rügen, GDR, October 66). Zbl 1170.01377


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