The neutronics of a homogeneous fluid-fuel nuclear system with perfect remixing implying a uniform distribution of delayed neutron precursors inside the core is studied in this work. A one-group diffusion model is adopted for the neutron balance and an analytical treatment is used throughout thewhole analysis. The critical problemis first solved, allowing the determination of a set of eigenfunctions characteristic of the physico-mathematical problem considered. The time-dependent problem is then solved by expanding the neutron flux in terms of these eigenfunctions and the results are compared with those obtained through a standard Helmholtz eigenfunction expansion. The use of these eigenfunctions show to be advantageous, since the asymptotic state of the system can be represented by the fundamental eigenfunction only.
Neutronics of fluid fuel system with perfect remixing / Dulla, Sandra; Ravetto, Piero; Prinja, A. K.. - (2014). (Intervento presentato al convegno International Conference PHYSOR2014 tenutosi a Kyoto, Japan nel 28 September - 3 October 2014).
Neutronics of fluid fuel system with perfect remixing
DULLA, SANDRA;RAVETTO, PIERO;
2014
Abstract
The neutronics of a homogeneous fluid-fuel nuclear system with perfect remixing implying a uniform distribution of delayed neutron precursors inside the core is studied in this work. A one-group diffusion model is adopted for the neutron balance and an analytical treatment is used throughout thewhole analysis. The critical problemis first solved, allowing the determination of a set of eigenfunctions characteristic of the physico-mathematical problem considered. The time-dependent problem is then solved by expanding the neutron flux in terms of these eigenfunctions and the results are compared with those obtained through a standard Helmholtz eigenfunction expansion. The use of these eigenfunctions show to be advantageous, since the asymptotic state of the system can be represented by the fundamental eigenfunction only.Pubblicazioni consigliate
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https://hdl.handle.net/11583/2572755
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