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**Harvard**

Pázsit, I., Jonsson, A. och Pal, L. (2012) *Analytical solutions of the molten salt reactor equations*.

** BibTeX **

@article{

Pázsit2012,

author={Pázsit, Imre and Jonsson, Anders and Pal, L.},

title={Analytical solutions of the molten salt reactor equations},

journal={Annals of Nuclear Energy},

issn={0306-4549},

volume={50},

pages={206-214},

abstract={The one-group diffusion theory of molten salt reactors in a homogeneous reactor model is revisited. First, the integral terms in the equation for the flux, obtained after the elimination of the delayed neutron precursors, are given a physical interpretation. This gives an understanding of the physical meaning of the concept of infinite fuel recirculation velocity, which eliminates one of the two integral terms, introduced in earlier work in order to find analytic solutions. In the light of the physical interpretation, another approximation, representing a different limiting case can be defined, corresponding to long recirculation times, i.e. no recirculation of the delayed neutron precursors to the core. This approximation incurs the neglecting of the other integral term, and it can also be solved analytically. Finally it is shown that the full equation, without neglecting any of the integral terms, has also a compact analytical solution and it is demonstrated how the case of the infinite velocity can be obtained as a limit case of the full solution. The analytical solutions open up the possibility to study a number of questions in analytical form, such as the calculation of the point kinetic response of the reactor, or the effect of the different boundary conditions. As an illustration, the solutions corresponding to the vanishing of the flux at the extrapolated boundary are compared to those obtained from the logarithmic boundary conditions.},

year={2012},

keywords={Molten Salt Reactor (MSR), Analytic solutions, Diffusion theory, Approximations, Boundary conditions, neutron kinetics, systems },

}

** RefWorks **

RT Journal Article

SR Electronic

ID 171252

A1 Pázsit, Imre

A1 Jonsson, Anders

A1 Pal, L.

T1 Analytical solutions of the molten salt reactor equations

YR 2012

JF Annals of Nuclear Energy

SN 0306-4549

VO 50

SP 206

OP 214

AB The one-group diffusion theory of molten salt reactors in a homogeneous reactor model is revisited. First, the integral terms in the equation for the flux, obtained after the elimination of the delayed neutron precursors, are given a physical interpretation. This gives an understanding of the physical meaning of the concept of infinite fuel recirculation velocity, which eliminates one of the two integral terms, introduced in earlier work in order to find analytic solutions. In the light of the physical interpretation, another approximation, representing a different limiting case can be defined, corresponding to long recirculation times, i.e. no recirculation of the delayed neutron precursors to the core. This approximation incurs the neglecting of the other integral term, and it can also be solved analytically. Finally it is shown that the full equation, without neglecting any of the integral terms, has also a compact analytical solution and it is demonstrated how the case of the infinite velocity can be obtained as a limit case of the full solution. The analytical solutions open up the possibility to study a number of questions in analytical form, such as the calculation of the point kinetic response of the reactor, or the effect of the different boundary conditions. As an illustration, the solutions corresponding to the vanishing of the flux at the extrapolated boundary are compared to those obtained from the logarithmic boundary conditions.

LA eng

DO 10.1016/j.anucene.2012.05.037

LK http://dx.doi.org/10.1016/j.anucene.2012.05.037

OL 30