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- ПубликацияТолько метаданныеOn a Formula to Evaluate the Separative Power of Long Gas Centrifuges [(2014) Borisevich, V. D.; Borman, V. D.; Bogovalov, S. V.; Kislov, V. A.; Tronin, V. N.; Tronin, I. V.; Abramov, V. I.; Yupatov, S. V.; Кислов, Владимир Александрович; Боговалов, Сергей Владимирович; Борисевич, Валентин Дмитриевич; Тронин, Иван ВладимировичWe discuss the possibility of applying the semi-empirical formula derived for evaluating the separative power of the Russian-type optimized gas centrifuge, with a rotor length about 1 m, to centrifugal machines of arbitrary length. It is demonstrated that the formula can adequately describe the dependence of a single gas centrifuge's performance on rotor peripheral rotation, length, and diameter for machines with lengths of up to 5 m. The comparison of the calculated values for separative power, obtained by numerical simulations of flow and diffusion in gas centrifuges with that of the URENCO machines, demonstrates satisfactory agreement. © 2014 Copyright Taylor and Francis Group, LLC. Acknowledgement: This work is supported by the Ministry of Education and Science of Russian Federation in the framework of the Federal Targeted Program Scientific and Pedagogical Staff for Innovative Russia for 2009-2013, State Contract No. 16.740.11.0536 (the project leader is Professor V. D. Borisevich).
- ПубликацияТолько метаданныеVerification of numerical codes for modeling of the flow and isotope separation in gas centrifuges(2013) Bogovalov, S. V.; Borisevich, V. D.; Borman, V. D.; Kislov, V. A.; Tronin, I. V.; Tronin, V. N.; Тронин, Иван Владимирович; Боговалов, Сергей Владимирович; Борисевич, Валентин Дмитриевич; Кислов, Владимир АлександровичA new method for verification of numerical codes for modeling of gas flow and isotope separation in gas centrifuges (GC) is proposed. The method is based on a semi-analytical solution of the problem of gas circulation in the rotating cylinder (rotor) with an infinite length. The problem is solved for a small amplitude perturbation of the rigid rotation of the gas. It is assumed that the circulation drives, thermal or mechanical origin, vary with the coordinate along the rotation axis harmonically. Solution of the system of equations in partial derivatives is reduced to the solution of the system of ordinary differential equations which can be solved with any accuracy by well known methods. The gas circulation in the solution consists of the system of vortexes periodically located along the rotation axis. The comparison of the semi-analytical solution with the numerical one is possible provided that periodical boundary conditions are specified at the end caps of the rotor of GC. Special attention is paid to the case when the conventional rigid wall boundary conditions are specified at the end caps of the rotor. It is shown that the developed semi-analytical solution can be applied for the verification of the numerical codes in this case as well.
- ПубликацияНеизвестноVerification of software codes for simulation of unsteady flows in a gas centrifuge(2013) Abramov, V. A.; Bogovalov, S. V.; Kislov, V. A.; Yupatov, S. V.; Tronin, V. N.; Tronin, I. V.; Borman, V. D.; Borisevich, V. D.; Борисевич, Валентин Дмитриевич; Кислов, Владимир Александрович; Боговалов, Сергей Владимирович; Тронин, Иван ВладимировичA simple semi-analytical solution is proposed for the problem of an unsteady gas flow in a gas centrifuge. The circulation in the centrifuge is driven by a source/sink of energy and by an external force (deceleration/acceleration of the gas rotation) acting on the gas at a given frequency. In the semi-analytical solution, the rotor is infinite, while the given forces vary harmonically with a given wave-length along the axial coordinate. As a result, the unsteady flow problem is reduced to a system of ordinary differential equations, which can be quickly solved to any prescribed accuracy. This problem is proposed for verifying numerical codes designed for the simulation of unsteady processes in gas centrifuges. A similar unsteady problem is solved numerically, in which case the cylinder is finite with the rotor length equal to the wavelength of the external force along the axis of rotation. The periodicity of the solution is set at end faces of the cylinder. As an example, the semi-analytical solution is compared with the numerical one obtained with these boundary conditions. The comparison confirms that the problem formulations are equivalent in both cases.
- ПубликацияТолько метаданныеModeling of electromagnetic stirring in the DC casting of aluminum with ANSYS(2013) Pavlov, E.; Timofeev, V.; Bogovalov, S.; Tronin, I.; Kislov, V.; Тронин, Иван Владимирович; Кислов, Владимир Александрович; Боговалов, Сергей ВладимировичModeling of the magnetohydrodynamical (MHD) and thermodynamical processes during the industrial scale Direct Chill (DC) casting of aluminum slabs is performed using a combination of ANSYS/CFX and ANSYS/EMAG software. The electromagnetic field is modeled through ANSYS/EMAG, while hydrodynamic and thermodynamic processes are modeled through ANSYS/CFX. Both packages were modified in order to calculate MHD flows in the liquid pool that forms during aluminum DC casting, and they were unified into a software combination that provides simultaneous simulation of all the above processes. The simulation shows that the electromagnetic stirring of the molten aluminum changes the shape of the solidification front (solid-liquid interface) very dramatically, namely it becomes significantly flatter. This effect should improve the internal structure of aluminum DC slabs and allows us to increase the casting velocity.
- ПубликацияНеизвестноWaves in strong centrifugal fields: dissipationless gas(2015) Bogovalov, S. V.; Kislov, V. A.; Tronin, I. V.; Тронин, Иван Владимирович; Боговалов, Сергей Владимирович; Кислов, Владимир АлександровичLinear waves are investigated in a rotating gas under the condition of strong centrifugal acceleration of the order 106g realized in gas centrifuges for separation of uranium isotopes. Sound waves split into three families of the waves under these conditions. Dispersion equations are obtained. The characteristics of the waves strongly differ from the conventional sound waves on polarization, velocity of propagation and distribution of energy of the waves in space for two families having frequencies above and below the frequency of the conventional sound waves. The energy of these waves is localized in rarefied region of the gas. The waves of the third family were not specified before. They propagate exactly along the rotational axis with the conventional sound velocity. These waves are polarized only along the rotational axis. Radial and azimuthal motions are not excited. Energy of the waves is concentrated near the wall of the rotor where the density of the gas is largest.