Displaying similar documents to “Onedimensional homogenized reactor with natural uranium and with flattened specific output”

Stability of flat thermal flux in a slab reactor

Václav Bartošek, Rostislav Zezula (1968)

Aplikace matematiky

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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.

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

Rostislav Zezula (1969)

Aplikace matematiky

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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...

Unconditional nonlinear stability in a polarized dielectric liquid

Giuseppe Mulone, Salvatore Rionero, Brian Straughan (1996)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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We derive a very sharp nonlinear stability result for the problem of thermal convection in a layer of dielectric fluid subject to an alternating current (AC). It is particularly important to note that the size of the initial energy in which we establish global nonlinear stability is not restricted whatsoever, and the Rayleigh-Roberts number boundary coincides with that found by a formal linear instability analysis.