Velocity characteristic and stability of wave solutions for a candle reactor with thermal feedback

Khotyayintsev, V. M.; Aksonov, Artem V.; Khotyayintseva, O.M.; Pavlovych, V. M.; Gulik, Volodymyr; Tkaczyk, Alan H.

doi:10.1016/j.anucene.2015.04.044

Cited by 13 publications

(12 citation statements)

References 21 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…Its autowave form is also obtained. In contrast to many other papers like [1,3,5,11,16,17], in which it was also considered in autowave form, we do not neglect the derivative of neutron concentration with respect to time in the neutron diffusion equation. This way we study the non-stationary traveling-wave burning mode.…”

Section: Discussionmentioning

confidence: 99%

“…Applying the variable substitution and some basic mathematical transformations, one can integrate the rest of the equations from (17). The system of equations then…”

Section: System Of Kinetic Equationsmentioning

confidence: 99%

“…Let us note that equation (26) looks like this because we did not neglect the derivative over time in the system of kinetic equations, when switching to the autowave variable z = y + ut in Section 2, as it was done e.g. in [1,3,5,11,16,17].…”

Section: The Analogy To Newton's Second Lawmentioning

confidence: 99%

See 2 more Smart Citations

Newton’s second law analogy for the traveling wave of nuclear burning

Urbanevych

Sharph

Tarasov

et al. 2020

EPJ Nuclear Sci. Technol.

View full text Add to dashboard Cite

We consider a model of neutron-nuclear wave burning. The traveling wave of nuclear burning of the medium is initiated by an external neutron source and is the basis for the new generation reactors the so-called “traveling-wave reactors”. We develop a model of nuclear traveling wave burning, for which it is possible to draw a Newton’s second law analogy with a mechanical dissipative system. On the basis of this analogy, we find that the wave velocity has a continuous spectrum bounded below. Within the framework of the new model, we show the autowave to be possible for certain neutron energies only. Also we find that two burning modes are possible depending on the control parameters: a traveling autowave and a wave driven by an external neutron source.

show abstract

Section: Discussionmentioning

confidence: 99%

“…Applying the variable substitution and some basic mathematical transformations, one can integrate the rest of the equations from (17). The system of equations then…”

Section: System Of Kinetic Equationsmentioning

confidence: 99%

See 1 more Smart Citation

Newton’s second law analogy for the traveling wave of nuclear burning

Urbanevych

Sharph

Tarasov

et al. 2020

EPJ Nuclear Sci. Technol.

View full text Add to dashboard Cite

show abstract

“…In works [15,16] by Khotyayintsev et. al., behaviour of the NBW velocity, as an important characteristic of the NBW mode, was studied depending on a number of parameters of the reactor model in the framework of a planar onedimensional model, basing on the neutron diffusion equation together with the equations of burn-up of the U-Pu fuel components including 9 nuclides as well as the fission products in the one-group approximation.…”

Section: Khotyayintsev Et Al Nbw Velocity Studymentioning

confidence: 99%

“…Such a 2D problem with using the exact 26 neutron-energy groups approach has been further considered by the authors [21] for a simple cylindrical reactor model with a single radial zone without the radial reflector. The comparison between the results of calculations in these two approaches [16,17] and [18] has shown that the simplified calculations with the radial buckling and effective multigroup approximation give a reasonable qualitative description of the NBW evolution but with some quantitative discrepancies with the exact 2D multigroup approach [21]. However, the calculations in the exact approach [21] are rather time-consuming and require much more computational resources.…”

Section: Fomin Et Al Non-stationary Solution Of the Nbw Problemmentioning

confidence: 99%

Nuclear Burning Wave Concept and Theoretical Approaches for its Description

Malovytsia

Fomin

2020

EEJP

View full text Add to dashboard Cite

After two major nuclear power plant accidents in Chernobyl (1986) and Fukushima (2011), one of the main requirements for the nuclear power engineering is the safety of the nuclear reactors in operation, as well as new nuclear power plants of the fourth generation, which are being developed now. One of such requirements is presence of the so-called “inherent safety” mechanism, which renders the uncontrolled reactor runaway impossible under any conditions, moreover, the implementation of such a mechanism should be ensured on the level of physical principles embedded in the reactor design. Another important problem of the nuclear power engineering is the need of the transition to the large-scale use of the fast-neutron breeder reactors, with which it would be possible to set up expanded reproduction of the nuclear fuel and by that means solve the problem of supplying humanity with relatively cheap energy for thousands of years. Moreover, at present an unresolved problem is the disposal of spent nuclear fuel containing radioactive nuclides with long half-lives, which presents a long-term danger to the ecology. One of the promising conceptions of the fast-neutron breeder reactor, which can, in the case of successful implementation, partially or even entirely solve the problems of the nuclear power engineering mentioned above, is the reactor that operates in the nuclear burning wave mode, which is also known as “Traveling wave reactor”, CANDLE and by some other names. This paper presents a short review of the main theoretical approaches used for description of such a physical phenomenon as slow nuclear burning (deflagration) wave in the neutron multiplication medium initially composed of the fertile material 238U or 232Th. A comparative analysis of the possibilities of different mathematical models for describing this phenomenon is performed, both for those based on the deterministic approach (i.e. solving neutron transport equations) and for models that use Monte Carlo methods. The main merits of the fast breeder reactor, working in the nuclear burning wave mode, and problems related to the practical realization of the considered concept are discussed.

show abstract