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Zh. Vychisl. Mat. Mat. Fiz., 2013, Volume 53, Number 6, Pages 970–978 (Mi zvmmf9844)  

This article is cited in 8 scientific papers (total in 8 papers)

Verification of software codes for simulation of unsteady flows in a gas centrifuge

V. A. Abramova, S. V. Bogovalova, V. D. Borisevicha, V. D. Bormana, V. A. Kislova, V. N. Tronina, I. V. Tronin, S. V. Yupatova

a Moscow Engineering Physics Institute (National Nuclear Research University)

Abstract: A 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.

Key words: mathematical simulation of unsteady flows in a gas centrifuge, verification of software codes, numerical solution of gas dynamics equations, semi-analytical solution.

DOI: https://doi.org/10.7868/S0044466913060021

Full text: PDF file (378 kB)
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English version:
Computational Mathematics and Mathematical Physics, 2013, 53:6, 789–797

Bibliographic databases:

UDC: 519.634
Received: 22.11.2012

Citation: V. A. Abramov, S. V. Bogovalov, V. D. Borisevich, V. D. Borman, V. A. Kislov, V. N. Tronin, I. V. Tronin, S. V. Yupatov, “Verification of software codes for simulation of unsteady flows in a gas centrifuge”, Zh. Vychisl. Mat. Mat. Fiz., 53:6 (2013), 970–978; Comput. Math. Math. Phys., 53:6 (2013), 789–797

Citation in format AMSBIB
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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. V. D. Borisevich, V. D. Borman, S. V. Bogovalov, V. A. Kislov, V. N. Tronin, I. V. Tronin, V. I. Abramov, S. V. Yupatov, “On a formula to evaluate the separative power of long gas centrifuges”, Sep. Sci. Technol., 49:3 (2014), 329–334  crossref  isi  elib  scopus
    2. S. V. Bogovalov, I. V. Tronin, “Rhie–Chow interpolation in strong centrifugal fields”, Comput. Math. Math. Phys., 55:10 (2015), 1727–1732  mathnet  crossref  crossref  mathscinet  isi  elib  elib
    3. S. V. Bogovalov, V. A. Kislov, I. V. Tronin, “Gas dynamics in strong centrifugal fields”, Proceedings of the International Conference of Numerical Analysis and Applied Mathematics 2014 (Icnaam-2014), 1648, eds. T. Simos, C. Tsitouras, Amer. Inst. Phys., 2015, 030008  crossref  isi  scopus
    4. S. V. Bogovalov, V. A. Kislov, I. V. Tronin, “Impact of the pulsed braking force on the axial circulation in a gas centrifuge”, Appl. Math. Comput., 272:3 (2016), 670–675  crossref  isi  elib  scopus
    5. S. V. Bogovalov, V. A. Kislov, I. V. Tronin, “Impact of the waves on the product flux of the Iguasu gas centrifuge”, International Conference on Analysis and Applied Mathematics 2015 (ICNAAM 2015) (Rhodes, Greece, 22–28 September 2015), AIP Conf. Proc., 1738, eds. T. Simos, C. Tsitouras, Amer. Inst. Phys., 2016, 030013  crossref  isi  scopus
    6. S. Bogovalov, V. Kislov, I. Tronin, “Impact of waves on the circulation flow in the Iguasu gas centrifuge”, V International Conference on Problems of Mathematical and Theoretical Physics and Mathematical Modelling, Journal of Physics Conference Series, 788, IOP Publishing Ltd, 2017, UNSP 012007  crossref  isi  scopus
    7. S. V. Bogovalov, V. D. Borman, V. D. Borisevich, V. N. Tronin, I. V. Tronin, “Dependence of the separative power of an optimised Iguassu gas centrifuge on the velocity of rotor”, Int. J. Numer. Methods Heat Fluid Flow, 27:7, SI (2017), 1387–1394  crossref  isi  scopus
    8. Bogovalov S.V., Kislov V.A., Tronin I.V., “Waves in Strong Centrifugal Field: Dissipative Gas”, Theor. Comput. Fluid Dyn., 33:1 (2019), 21–35  crossref  isi
  • Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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