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A sufficient condition for flattening of the thermal neutron flux and some related problems (in onedimensional geometries)

Rostislav Zezula — 1969

Aplikace matematiky

The main results of this paper, in which the problem of determination of the fuel concentration distribution M inducing a prescribed thermal neutron flux Φ in the homogenized critical reactor core with given outer reflector boundary is investigated (in the two-groups diffusion approximation), are stated in the theorems 1 and 2. In theorem 1 sufficient conditions are given for the existence of a oneparametrical family of thermal neutron fluxes induced by the Goertzel’s type fuel concentration distribution....

Stability of flat thermal flux in a slab reactor

Václav BartošekRostislav Zezula — 1968

Aplikace matematiky

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.

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