| 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:
|
http://hdl.handle.net/10338.dmlcz/103239 |
| . |
| 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 |
| . |
