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A Genuine Analytical Solution for the SN Multi-group Neutron Equation in Planar Geometry

F. K. Tomaschewski (), C. F. Segatto () and M. T. Vilhena ()
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F. K. Tomaschewski: Federal University of Rio Grande do Sul
C. F. Segatto: Federal University of Rio Grande do Sul
M. T. Vilhena: Federal University of Rio Grande do Sul

Chapter Chapter 23 in Integral Methods in Science and Engineering, 2013, pp 329-339 from Springer

Abstract: Abstract The analytical solution program for the time-dependent neutron transport equation has undergone a significant evolution since the work of Case [CaZw67], where the one-dimensional stationary problem in a slab was solved analytically. There exists a relevant literature concerning the issue of solving the time-dependent neutron equation in a planar geometry for an unbounded domain. We mention the works of Ganapol and Filippone [GaFi82], Ganapol and Pomraning [GaPo83], Ganapol [Ga86], Ganapol and Matsumoto GaMa86], and Abdul [Ab06]. On the other hand, regarding the literature for bounded domains, we cite the works of Windhofer and Pucker [WiPu85], Warsa and Prinja [WaPr98], Oliveira et al. [OlCaVi02], [OlEtAl02], El-Wakil et al. [ElDeSa05], [ElDeSa06], Türeci et al. [TuGuTe07], Türeci and Türeci [TuTu07], Hadad et al. [HaPiAy08], Coppa et al. [CoEtAl08], [CoDuRa10], and Cargo and Samba [Ca10].

Keywords: Ganapol; Time-dependent Neutron Transport Equation; Unbounded Domain Problems; Angular Flux; Geneous Slab (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4614-7828-7_23

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DOI: 10.1007/978-1-4614-7828-7_23

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