The optimal flow structure in a gas centrifuge for separating uranium isotopes

Borisevich, V. D.; Levin, Eugene; Naumochkin, V. V.

doi:10.1007/bf01129985

Cited by 13 publications

(4 citation statements)

References 5 publications

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“…A special procedure based on the Jacoby matrix perturbation can be used to make the steady convergence of the solution (15). The practice of such calculations has shown a relatively good convergence of this technique for both binary (13) and multicomponent mixtures (14).…”

Section: Finite-difference Technique For Steady Convective and Diffusmentioning

confidence: 99%

“…As seen from Eqs. (1)(2)(3)(4)(5)(6)(7)(8)(9)(10)(11)(12)(13)(14)(15)(16)(17)(18)(19), all parameters of the multicomponent mixture flow are complexly interconnected with each other and depend on the space distribution of component concentrations. The definition of flow parameters and distribution of concentrations is a sophisticated problem even with the use of modern numerical methods.…”

Section: Borisevich and Levinmentioning

confidence: 99%

“…cal mean-free path for the process gas molecules corresponding to a transient from regime of the free-molecular flow to a continuous medium (11)(12)(13): …”

Section: Separation Of Isotope Mixtures 1701mentioning

confidence: 99%

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Separation of Multicomponent Isotope Mixtures by Gas Centrifuge

Borisevich

Levin

2001

Separation Science and Technology

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Section: Finite-difference Technique For Steady Convective and Diffusmentioning

confidence: 99%

Section: Borisevich and Levinmentioning

confidence: 99%

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Separation of Multicomponent Isotope Mixtures by Gas Centrifuge

Borisevich

Levin

2001

Separation Science and Technology

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“…Согласно принципу эквивалентности Эйнштейна, система отсчёта в однородном поле тяготения неотличима от равноускоренной системы отсчёта. Подходящим устройством для такого моделирования представляются существующие центрифуги с частотой вращения ротора порядка f ≈ 1,5-1,8 кГц, широко используемые для разделения изотопов [9] 2 , где g -ускорение свободного падения вблизи Земли, знак "минус" (красное смещение) относится к случаю, когда источник S поднят на вершину башни (высота Н), а приёмник P находится на земле, знак "плюс" (синее смещение) соответствует перемене позиций. До начала эксперимента спектр неподвижного источника был сдвинут на величину dn ≠ 0 по отношению к приёмнику под действием разности гравитационных потенциалов DU = -gH; в ходе экс-перимента спектральные линии были совмещены (dn = 0) благодаря допплеровскому сдвигу, вызванному колебательным движением источника.…”

Section: физикаunclassified

Laboratory modeling of the giant gravitational shift of gamma-radiation frequency

Фортов

Shvartsburg

2019

Доклады Академии наук

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The control spectral shifts of resonant radiation frequency due to spatially non-uniform and non-stationary centrifugal acceleration, stipulated by the travel of radiation source along the centrifugal radius or modulation of the rotation frequency, are examined. These spectral variations pave the way to modeling of effects of non-uniform and non-stationary gravity field. The perspectives of flexible control of spectral lines shifts for the analysis of fine structure of radiation and absorption spectra are considered.

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Numerical investigation of the separation of sulfur isotopes in a single gas centrifuge

Borisevich¹,

Levin²,

Yupatov³

et al. 1994

At Energy

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The centrifuge technology for enriching uranium isotopes, after being implemented in our country on a commercial level, was successfully used for obtaining highly enriched stable and radioactive isotopes of some other chemical elements [1]. Interest in the use of a gas centrifuge for producing stable isotopes is indicated by the recently published works [2][3][4]. It is obvious that the centrifuge apparatus, designed for enriching uranium isotopes, cannot separate equally efficiently isotopic mixtures with arbitrary molecular mass. For this, it is necessary to solve in each specific case the problems associated with optimizing the working parameters of a single gas centrifuge. In the present work, which was initiated by the Institute of Molecular Physics at the Russian Scientific Center "Kurchatovskii institut," we investigate theoretically the separation of isotopic mixtures of average molecular mass -100-200 on a single centrifuge apparatus for the example of a four-component mixture of sulfur isotopes in the form of sulphur hexafluoride (SF6).Physical-Mathematical and Numerical Model of Transport Processes in a Gas Centrifuge. To study the flow and separation of a multicomponent isotopic mixture, we solved a stationary system of equations describing the dynamics of a viscous compressible gas and diffusion equations by a finite-difference method. Because of the rapid rotation of the rotor the problem was solved in an axisymmetric approximation. Estimates show that in modern centrifuges with a tangential rotational velocity of the rotor reaching 600 m/sec the radial and axial change in the concentration, for most isotopic mixtures, is small enough so that the spatial variation of the coefficient of viscosity and thermal conductivity can be neglected. For this reason, the problem of calculating the separation characteristics of centrifuges can be solved in two stages even for nonuranium isotopes. At the first stage, the gas-dynamic problem is solved for an average-mass velocity, density, and temperature of the mixture as a whole. At the second stage, the values found for these parameters are employed for solving the diffusion equations, written for each component of the mixture. The matrix of generalized diffusion coefficients was written in a diagonal form found as a result of the investigations conducted.The boundary conditions were the standard conditions, used in the investigation of internal flows of gas mixtures: attachment on solid surfaces, prescribed temperature on the boundaries of the computational region, all parameters of external flows flowing into the centrifuge rotor are given explicitly, the density and radial and axial components of the velocity vector are given explicitly, and no azimuthal stagnation and temperature gradient in the outgoing flow of extraction of the light fraction. For the diffusion problem, it is assumed that there is no diffusion flow on all boundaries of the computational region. The centrifuge rotor with the computational region is shown schematically in Fig. 1. We note tha...

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The optimal flow structure in a gas centrifuge for separating uranium isotopes

Cited by 13 publications

References 5 publications

Separation of Multicomponent Isotope Mixtures by Gas Centrifuge

Separation of Multicomponent Isotope Mixtures by Gas Centrifuge

Laboratory modeling of the giant gravitational shift of gamma-radiation frequency

Numerical investigation of the separation of sulfur isotopes in a single gas centrifuge

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