Stability of flat thermal flux in a slab reactor

Václav Bartošek; Rostislav Zezula

Aplikace matematiky (1968)

  • Volume: 13, Issue: 5, page 367-375
  • ISSN: 0862-7940

Abstract

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Using the qualitative theory of differential equations the equivalence of the boundary value and the Cauchy's initial value problem is demonstrated for the slab flat flux reactor. It is found that there exists an interval of the initial (central) fuel concentrations for which the initial value problem (with two algebraic conditions) describes a critical flat flux reactor while solutions outside this interval describe undercritical systems of a nonmultiplying medium.

How to cite

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Bartošek, Václav, and Zezula, Rostislav. "Stability of flat thermal flux in a slab reactor." Aplikace matematiky 13.5 (1968): 367-375. <http://eudml.org/doc/14556>.

@article{Bartošek1968,
abstract = {Using the qualitative theory of differential equations the equivalence of the boundary value and the Cauchy's initial value problem is demonstrated for the slab flat flux reactor. It is found that there exists an interval of the initial (central) fuel concentrations for which the initial value problem (with two algebraic conditions) describes a critical flat flux reactor while solutions outside this interval describe undercritical systems of a nonmultiplying medium.},
author = {Bartošek, Václav, Zezula, Rostislav},
journal = {Aplikace matematiky},
keywords = {numerical analysis},
language = {eng},
number = {5},
pages = {367-375},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Stability of flat thermal flux in a slab reactor},
url = {http://eudml.org/doc/14556},
volume = {13},
year = {1968},
}

TY - JOUR
AU - Bartošek, Václav
AU - Zezula, Rostislav
TI - Stability of flat thermal flux in a slab reactor
JO - Aplikace matematiky
PY - 1968
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 13
IS - 5
SP - 367
EP - 375
AB - Using the qualitative theory of differential equations the equivalence of the boundary value and the Cauchy's initial value problem is demonstrated for the slab flat flux reactor. It is found that there exists an interval of the initial (central) fuel concentrations for which the initial value problem (with two algebraic conditions) describes a critical flat flux reactor while solutions outside this interval describe undercritical systems of a nonmultiplying medium.
LA - eng
KW - numerical analysis
UR - http://eudml.org/doc/14556
ER -

References

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  1. V. Bartošek, R. Zezula, 10.1016/0368-3230(66)90023-1, Journal of Nucl. Energy Pt A/B 20, 129-134, (1966). (1966) Zbl0172.20201DOI10.1016/0368-3230(66)90023-1
  2. E. F. Beckenbach, Modern Mathematics for the Engineer, McGraw-Hill Book Соmр. New York - Toronto - London. Zbl0098.26402
  3. S. Lefshetz, Differential Equations: Geometric Theory, Interscience Publishers, London 1957. (1957) MR0094488
  4. R. Bellman, Stability Theory of Differential Equations, London 1953. (1953) Zbl0053.24705MR0061235
  5. J. Roček, [unknown], Private communication, 1966. (1966) 

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