On Some Fundamental Peculiarities of the Traveling Wave Reactor

Rusov, V. D.; Tarasov, V. A.; Sharph, I. V.; Vashchenko, Volodymyr; Linnik, E. P.; Zelentsova, T. N.; Beglaryan, M. E.; Chernegenko, S. A.; Kosenko, S. I.; Smolyar, V. P.

doi:10.1155/2015/703069

Cited by 18 publications

(20 citation statements)

References 29 publications

(64 reference statements)

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“…The quantity D * τ c /|A * | represents such length, according to [2]. The most important conclusion for us, made in [2] as a result of the analysis of behaviour for asymptotics of the solution (11) for the neutron density n(z, t) and asymptotics with respect to time and the cylinder length (19) and (20), consists in the fact that for the case of the above-critical state of the neutron-multiplication fissile medium, a possible existence of the wave burning, propagating with the constant velocity and practically unchangeable amplitude along the cylinder axis and representing superposition of processes of multiplication and diffusion of neutrons, is demonstrated, and in the case of the subcritical state of the neutron-multiplication fissile medium, the neutron process decays. It is also important, as it is shown in [2], that the wave burning velocity is defined by the formula similar to usual slow burning [11,12].…”

Section: Akhiezer Wave Of Nuclear Burning For the Thermal Neutronsmentioning

confidence: 96%

“…The first of the considered cases corresponds to the "instantaneous" picture of neutron density distribution over the whole cylinder length, and the second one describes the density evolution at each given fixed point z. From the expressions for asymptotics (19) and (20) it is clear that at large distances the quantity n(z, t) decreases exponentially with distance, and for large lapses of time for the above-critical mode (A * > 0) it grows up exponentially with time because of multiplication. It is also clear that for A * > 0 the neutron density grows up with time unlimitedly, and the quantity τc A * is a typical time.…”

Section: Akhiezer Wave Of Nuclear Burning For the Thermal Neutronsmentioning

confidence: 99%

“…In the case of the subcritical mode A * < 0, when the number of neutrons, being born during the nuclei fission, is not enough for maintaining the spontaneous chain nuclear reaction, the exponents in the expressions (19) and (20) are negative and the neutron density decreases with time as well as with the increase of the distance from the cylinder butt. In this case a characteristic length of neutron propagation may be considered.…”

Section: Akhiezer Wave Of Nuclear Burning For the Thermal Neutronsmentioning

confidence: 99%

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Ultraslow wave nuclear burning of uranium–plutonium fissile medium on epithermal neutrons

Rusov

Tarasov

Eingorn

et al. 2015

Progress in Nuclear Energy

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For a fissile medium, originally consisting of uranium-238, the investigation of fulfillment of the wave burning criterion in a wide range of neutron energies is conducted for the first time, and a possibility of wave nuclear burning not only in the region of fast neutrons, but also for cold, epithermal and resonance ones is discovered for the first time.For the first time the results of the investigation of the Feoktistov criterion fulfillment for a fissile medium, originally consisting of uranium-238 dioxide with enrichments 4.38%, 2.00%, 1.00%, 0.71% and 0.50% with respect to uranium-235, in the region of neutron energies 0.015÷10.00 eV are presented. These results indicate a possibility of ultraslow wave neutron-nuclear burning mode realization in the uranium-plutonium media, originally (before the wave initiation by external neutron source) having enrichments with respect to uranium-235, corresponding to the subcritical state, in the regions of cold, thermal, epithermal and resonance neutrons.In order to validate the conclusions, based on the slow wave neutron-nuclear burning criterion fulfillment depending on the neutron energy, the numerical modeling of ultraslow wave neutron-nuclear burning of a natural uranium in the epithermal region of neutron energies (0.1÷7.0 eV) was conducted for the first time. The presented simulated results indicate the realization of the ultraslow wave neutron-nuclear burning of the natural uranium for the epithermal neutrons.

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Section: Akhiezer Wave Of Nuclear Burning For the Thermal Neutronsmentioning

confidence: 96%

Section: Akhiezer Wave Of Nuclear Burning For the Thermal Neutronsmentioning

confidence: 99%

Section: Akhiezer Wave Of Nuclear Burning For the Thermal Neutronsmentioning

confidence: 99%

See 1 more Smart Citation

Ultraslow wave nuclear burning of uranium–plutonium fissile medium on epithermal neutrons

Rusov

Tarasov

Eingorn

et al. 2015

Progress in Nuclear Energy

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“…The absence of the moderation theory results in numerous difficulties related to the study of the reactor emergency modes, the development of the new generation nuclear reactors such as the traveling-wave reactors [18,19], pulsed reactors, boosters, subcritical assemblies [20][21][22], and the investigation of the natural nuclear reactors such as georeactor [23].…”

Section: σA(kt ) ξσSmentioning

confidence: 99%

Neutron moderation theory with thermal motion of the moderator nuclei

et al. 2017

Self Cite

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In this paper we present the analytical expression for the neutron scattering law for an isotropic source of neutrons, obtained within the framework of the gas model with the temperature of the moderating medium as a parameter. The obtained scattering law is based on the solution of the kinematic problem of elastic scattering of neutrons on nuclei in the L-system in the general case. I.e. both the neutron and the nucleus possess the arbitrary velocity vectors in the L-system. For the new scattering law the flux densities and neutron moderation spectra depending on the temperature are obtained for the reactor fissile medium. The expressions for the moderating neutrons spectra allow reinterpreting the physical nature of the underlying processes in the thermal region.

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“…Most probably inspired by our idea of continuous radial fuel shuffling, Seifritz [19] obtained an analytic solution for the outward fuel shuffling, as he assumed that the nonlinear term in his fluence equation is a sine function of fluence. It is worth mentioning here that there are a lot of TWR research activities carried out world widely and readers are referred, e.g., to [20][21][22][23][24] and their references.…”

Section: Introductionmentioning

confidence: 99%

Asymptotic Solutions of Serial Radial Fuel Shuffling

Chen

Kiefhaber

2015

Energies

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Abstract:In this paper, the mechanism of traveling wave reactors (TWRs) is investigated from the mathematical physics point of view, in which a stationary fission wave is formed by radial fuel drifting. A two dimensional cylindrically symmetric core is considered and the fuel is assumed to drift radially according to a continuous fuel shuffling scheme. A one-group diffusion equation with burn-up dependent macroscopic coefficients is set up. The burn-up dependent macroscopic coefficients were assumed to be known as functions of neutron fluence. By introducing the effective multiplication factor keff, a nonlinear eigenvalue problem is formulated. The 1-D stationary cylindrical coordinate problem can be solved successively by analytical and numerical integrations for associated eigenvalues keff. Two representative 1-D examples are shown for inward and outward fuel drifting motions, respectively. The inward fuel drifting has a higher keff than the outward one. The 2-D eigenvalue problem has to be solved by a more complicated method, namely a pseudo time stepping iteration scheme. Its 2-D asymptotic solutions are obtained together with certain eigenvalues keff for several fuel inward drifting speeds. Distributions of the neutron flux, the neutron fluence, the infinity multiplication factor kinf and the normalized power are presented for two different drifting speeds.

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On Some Fundamental Peculiarities of the Traveling Wave Reactor

Cited by 18 publications

References 29 publications

Ultraslow wave nuclear burning of uranium–plutonium fissile medium on epithermal neutrons

Ultraslow wave nuclear burning of uranium–plutonium fissile medium on epithermal neutrons

Neutron moderation theory with thermal motion of the moderator nuclei

Asymptotic Solutions of Serial Radial Fuel Shuffling

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