Analytic solutions of the multigroup space-time reactor kinetics equations—I

Lee, C.E.; Rottler, S.

doi:10.1016/0306-4549(86)90053-8

Cited by 10 publications

(2 citation statements)

References 57 publications

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“…Slab geometry is also used in the study of spatial discretization schemes for the multigroup discrete-ordinates transport equations in [18]. Multigroup space-time reactor kinetics equations are analytically solved for homogeneous slab and spherical reactors with both bare and reflected slabs in [19]. The F N approximation for the FO transport equation in slab geometry is given in [20].…”

Section: Slab Reactormentioning

confidence: 99%

Analysis of fractional-order telegraph model for neutron transport in nuclear reactor with slab geometry

Vyawahare

Nataraj

2013

2013 European Control Conference (ECC)

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This paper deals with the analysis of fractionalorder (FO) telegraph equation which models the transport of thermal neutrons inside a nuclear reactor with slab geometry. The FO model, previously developed by the authors, models the neutron transport as anomalous diffusion, precisely a subdiffusion. This model removes the lacunae of the conventional integer-order model of neutron movements. Here, the FO model is solved using the well known technique of separation of variables and the spatial distribution and time evolution of the neutron flux in the slab reactor are computed. This exercise is probably being performed for the first time for the fractionalorder model of neutron transport. It clearly depicts the wavelike nature of the neutron flux. Also, the convergence of neutron flux for FO telegraph and subdiffusion models for asymptotic time establishes the long-time subdiffusive behaviour of the FO telegraph equation. The analysis carried out in this paper is thus forms a crucial step in the process of development of fractional-order model for a nuclear reactor.

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Section: Slab Reactormentioning

confidence: 99%

Analysis of fractional-order telegraph model for neutron transport in nuclear reactor with slab geometry

Vyawahare

Nataraj

2013

2013 European Control Conference (ECC)

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show abstract

“…Em 1986, Lee e Rottler [32] apresentaram soluções analíticas para o problema de difusão em multigrupo. Foram considerados reatores tipo placa e esférico com e sem refletores e com uma fonte externa dependente do espaço.…”

Section: Foderaro E Garabedianunclassified

Um Estudo Sobre Métodos De Cálculo E Medidas Experimentais De Parâmetros Cinéticos Em Sistemas Subcríticos Acionados Por Fonte

Lee¹

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A Fully Coupled Binary Biochemical Reactive-diffusion Model with Analytic Solution

Durkee

Antich

Lewis

et al. 2003

Journal of Theoretical Biology

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Analytic solutions of the multigroup space-time reactor kinetics equations—I

Cited by 10 publications

References 57 publications

Analysis of fractional-order telegraph model for neutron transport in nuclear reactor with slab geometry

Analysis of fractional-order telegraph model for neutron transport in nuclear reactor with slab geometry

Um Estudo Sobre Métodos De Cálculo E Medidas Experimentais De Parâmetros Cinéticos Em Sistemas Subcríticos Acionados Por Fonte

A Fully Coupled Binary Biochemical Reactive-diffusion Model with Analytic Solution

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