On the theory of propagation of chain nuclear reaction

Akhiezer, A.I.; Belozorov, D. P.; Rofe-Beketov, F. S.; Давыдов, Л. Н.; Spolnik, Z. A.

doi:10.1016/s0378-4371(99)00253-8

Cited by 6 publications

(32 citation statements)

References 3 publications

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“…Although in [2] the other problem was solved and investigated, it is of undoubtful interest for our subject and makes a certain contribution into theoretical generalization of the possible neutron multiplicative burning processes and substantiation of the possibility of the wave burning realization in the thermal region of neutron energies in principle. A chain nuclear reaction on thermal neutrons in the large neutron-multiplication system in the form of a cylinder or a parallelepiped of big length (one of the geometric parameters must exceed two others considerably) was considered in the one-group diffusion-age approximation in [2]. The chain nuclear reaction was initiated by the external neutron source, which was set by its neutron density flux on the cylinder butt (the problem II in [2]).…”

Section: Akhiezer Wave Of Nuclear Burning For the Thermal Neutronsmentioning

confidence: 99%

“…Let us note that the choice of geometry of a fissile medium in the form of a cylinder or a parallelepiped of large length was made in [2], because in this case the above-critical or subcritical states practically do not depend on the length, i.e. one can neglect the influence of butts, and the ratio of the surface area to the volume remains practically constant with the length change.…”

Section: Akhiezer Wave Of Nuclear Burning For the Thermal Neutronsmentioning

confidence: 99%

“…Following [2], if the system is surrounded by vacuum, and its dimensions are large in comparison with the neutrons free path, the boundary condition at the external lateral surface (x = 0 ÷ a; y = 0 ÷ a) consists in the equality of the neutron density to zero. Thus, we look for the solutions of (1) in the following form: n(r, t) = n(z, t) sin(πx/a) sin(πy/a)…”

Section: Akhiezer Wave Of Nuclear Burning For the Thermal Neutronsmentioning

confidence: 99%

“…Let us note that, of course, the zero neutron flux density should be set on the extrapolated lateral surface of the system, but this inaccuracy in [2] may be disregarded, since it can be easily corrected.…”

Section: Akhiezer Wave Of Nuclear Burning For the Thermal Neutronsmentioning

confidence: 99%

“…The solution of the equation (5) with the initial and boundary conditions (6) and (7) (the problem II in [2]) with the help of the direct and inverse Fourier transforms was obtained in [2] in the following form:…”

Section: Akhiezer Wave Of Nuclear Burning For the Thermal Neutronsmentioning

confidence: 99%

See 4 more Smart Citations

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: 99%

Section: Akhiezer Wave Of Nuclear Burning For the Thermal Neutronsmentioning

confidence: 99%

Section: Akhiezer Wave Of Nuclear Burning For the Thermal Neutronsmentioning

confidence: 99%

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 3 more Smart Citations

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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Fedor Semenovich Rofe-Beketov (on his 70th birthday)

Berezanskiĭ¹

2003

Russ. Math. Surv.

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Build Up and Characterization of Ultraslow Nuclear Burn-Up Wave in Epithermal Neutron Multiplying Medium

Ray

Saraswat

Kumar

et al. 2021

Journal of Nuclear Engineering and Radiation Science

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A study is carried out on the build-up and characterization of ultraslow nuclear burn-up wave in epithermal neutron multiplying medium for slab geometry. Uranium-Plutonium fissile medium is considered for the calculation. Transient part of the wave is characterized by Transient Time (TT), Transient Length (TL) and TT and TL are defined as the time and distance required to develop asymptotic neutron flux propagating through the media. Steady-state part of the wave is characterized with wave velocity and reaction zone width (Full Width Half Maximum (FWHM) and Full Width 10% of Maximum (FW10M)). Parametric studies are carried out for different enrichment of U235 and different values of external source of neutron. It is observed that TT, TL, FWHM, and FW10M decrease with the increase in enrichment. The velocity of the wave increases with the enrichment of U235. This study is beneficial for understanding the characteristics of nuclear burn-up wave in epithermal region as it will help in further researches in this area.

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On the theory of propagation of chain nuclear reaction

Cited by 6 publications

References 3 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

Fedor Semenovich Rofe-Beketov (on his 70th birthday)

Build Up and Characterization of Ultraslow Nuclear Burn-Up Wave in Epithermal Neutron Multiplying Medium

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