The Kinetics of a Coupled Two-Core Nuclear Reactor

Difilippo, F.C.; Waldman, Ricardo

doi:10.13182/nse76-a14494

Cited by 1 publication

(3 citation statements)

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“…where subscripts c and r designate the core and the reflector regions, respectively, and k rc and k cr are the probability that a neutron leaving the core will be replaced by a neutron appearing in the reflector and vice versa. Cohn's model is of particular interest because it can be expanded to account for multiple fissile regions and was done so by Farinelli and Pacilio [28] and by DiFilippo and Waldman [29]. Instead of representing the neutron balance within the reflector, the second equation becomes the analog of the first equation.…”

Section: G Ementioning

confidence: 99%

“…Ruby on a reflected core [39], by Farinelli and Pacilio for a dual-core system separated by graphite [28], and by Difilippo and Waldman for a dual-core swimming pool reactor [29]. Waltar and Ruby observed the global reactivity of the system as a function of detector position and of source position.…”

Section: Rossi-alpha Measurementsmentioning

confidence: 99%

“…Difilippo and Waldman similarly approached their measurements of a two-core system separated by water [29]. They theorized on the limits of coupled-core kinetics, i.e., when coupling is strong and when it is zero.…”

Section: Rossi-alpha Measurementsmentioning

confidence: 99%

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Analysis of the Temporal Response of Coupled Asymmetrical Zero-Power Subcritical Bare Metal Reactor Systems

Klain

2017

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The behavior of symmetrical coupled-core systems has been extensively studied, yet there is a dearth of research on asymmetrical systems due to the increased complexity of the analysis of such systems. In this research, the multipoint kinetics method is applied to asymmetrical zeropower, subcritical, bare metal reactor systems. Existing research on asymmetrical reactor systems assumes symmetry in the neutronic coupling; however, it will be shown that this cannot always be assumed. Deep subcriticality adds another layer of complexity and requires modification of the multipoint kinetics equations to account for the effect of the external neutron source. A modified set of multipoint kinetics equations is derived with this in mind. Subsequently, the Rossi-alpha equations are derived for a two-region asymmetrical reactor system. The predictive capabilities of the radiation transport code MCNP6 for neutron noise experiments are shown in a comparison to the results of a series of Rossi-alpha measurements performed by J. Mihalczo utilizing a coupled set of symmetrical bare highly-enriched uranium (HEU) cylinders. The ptrac option within MCNP6 can generate time-tagged counts in a cell (list-mode data). The list-mode data can then be processed similarly to measured data to obtain values for system parameters such as the dual prompt neutron decay constants observable in a coupled system. The results from the ptrac simulations agree well with the historical measured values. A series of case studies are conducted to study the effects of geometrical asymmetry in the coupling between two bare metal HEU cylinders. While the coupling behavior of symmetrical systems has been reported on extensively, that of asymmetrical systems remains sparse. In particular, it appears that there has been no previous research in obtaining the coupling time constants for asymmetrically-coupled systems. The difficulty in observing such systems is due in part to the iii v List of Tables viii List of Figures x

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Section: G Ementioning

confidence: 99%

Section: Rossi-alpha Measurementsmentioning

confidence: 99%