Geodesic
On the theory of countercurrent flow in a rotating viscous heat-conducting gas
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 2, pp. 222-236 
O. M. Belotserkovskii; V. B. Betelin; V. D. Borisevich; V. V. Denisenko; I. V. Eriklintsev; S. A. Kozlov; A. V. Konyukhov; A. M. Oparin; O. V. Troshkin. On the theory of countercurrent flow in a rotating viscous heat-conducting gas. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 2, pp. 222-236. http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_2_a2/
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     title = {On the theory of countercurrent flow in a~rotating viscous heat-conducting gas},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
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Voir la notice de l'article provenant de la source Math-Net.Ru

The countercurrent flow in a gas centrifuge is simulated. Mechanical and thermal methods for its excitation are discussed; thermal restructuring, the thermal control of the velocity field, and a shift in the inversion point are analyzed; and the formation of overtone flows in the rarefaction zone is studied.

[1] S. Villani (red.), Obogaschenie urana, Energoatomizdat, M., 1983

[2] Razrabotka i sozdanie gazotsentrifuzhnogo metoda razdeleniya izotopov v SSSR (Rossii), LNPP “Oblik”, S.-Peterburg, 2002

[3] Kofman E. B., “Konstruktsii sovremennykh ultratsentrifug”, Uspekhi fiz. nauk, 25:3 (1941), 340–361

[4] Troshkin O. V., Nontraditional methods in mathematical hydrodynamics, Trans. Math. Monographs. AMS, 144, Providence, RI, USA, 1995 | MR | Zbl

[5] Troshkin O. V., “O nagrevanii gaza krucheniem”, Zh. vychisl. matem. i matem. fiz., 50:6 (2010), 1–10 | MR

[6] Khariton Yu. B., “K voprosu o razdelenii gaza tsentrifugirovaniem”, Zh. tekhn. fiz., 7:14 (1937), 1476–1478

[7] Borisevich V. D., Wood H. G., “Gas centrifugation”, Encyclopedia of Separation Science. Isotope Separations, Acad. Press, London, UK, 2000, 3202–3207

[8] Mulliken R. S., “The separation of isotopes by thermal and pressure diffusion”, J. Amer. Chem. Soc., 44:5 (1922), 1033–1051 | DOI

[9] Urey H. C., “Separation of isotopes”, Rep. Progress Phys., 6 (1939), 48–77 | DOI

[10] Dirak P. A. M., “Dvizhenie v tsentrifuge s samofraktsionirovaniem”, Sobr. nauchn. tr., v. 4, Fizmatlit, M., 2005, 538–545

[11] Cloutman L. D., Gentry R. A., Numerical simulation of the countercurrent flow in a gas centrifuge, LA-8972-MC(UC'22), 1983, DE83-013323, 21 pp.

[12] Subbaramaier, Obogaschenie urana, Glava 4. Tsentrifugirovanie, Energoatomizdat, M., 1983, 179–232

[13] Steenbeck M., “Ergrenzung einer selbstkaskadierenden Axialströmung in einer langen Ultrazentrifuge zur Isotopentrennung”, Kernenergie, 11 (1958), 921–928

[14] Wood H. G., Morton J. B., “Onsager's pancake approximation for the fluid dynamics of a gas centrifuge”, Part 1, J. Fluid Mech., 101 (1980), 1–31 | DOI | MR | Zbl

[15] Kai T., “Basic characteristics of a gas centrifuge (III). Analysis of fluid flow in centrifuges”, J. Nucl. Sci. Technol., 14:4 (1977), 267–281 | DOI

[16] Borisevich V. D., Naumochkin V. V., Smakov B. M., “Mekhanicheskoe i teplovoe vozbuzhdenie techeniya vyazkogo gaza vo vraschayuschemsya tsilindre”, Izv. AN SSSR. Mekhan. zhidkosti i gaza, 1987, no. 4, 24–28

[17] Borisevich V. D., Levin E. V., Naumochkin V. V., “Chislennoe issledovanie vtorichnykh techenii vyazkogo gaza vo vraschayuschemsya tsilindre pri nalichii istochnikov i stokov”, Izv. AN SSSR. Mekhan. zhidkosti i gaza, 1989, no. 4, 39–44

[18] Brouwers J. J., “On the compressible flow in a gas centrifuge and its effect on the maximum separative power”, Nucl. Technol., 39 (1978), 311–322

[19] Von Halle, Wood H. G., Lowry R. A., “The effect of vacuum core boundary condition on separation in the gas centrifuge”, Nucl. Technol., 62 (1983), 325–334

[20] Borisevich V. D., Levin E. V., Naumochkin V. V., “Optimalnaya struktura techeniya v gazovoi tsentrifuge”, Atomnaya energiya, 70:1 (1991), 28–32

[21] Israeli M., Ungarish M., “Laminar compressible flow between close rotating disks – an asymptotic and numerical study”, Comput. and Fluids, 11 (1983), 145–157 | DOI | Zbl

[22] Aisen E. M., Borisevich V. D., Levin E. V., “Modelirovanie techeniya i diffuzii v gazovoi tsentrifuge dlya razdeleniya mnogokomponentnykh izotopnykh smesei”, Matem. modelirovanie, 9:4 (1997), 27–38 | Zbl

[23] Harten A., “High resolution schemes for hyperbolic conservation laws”, J. Comput. Phys., 49 (1983), 357–393 | DOI | MR | Zbl

[24] Ii G. S., Kharten A., “Neyavnye skhemy TVD dlya giperbolicheskikh sistem uravnenii, zapisannykh v konservativnoi forme otnositelno sistemy krivolineinykh koordinat”, Aerokosmich. tekhn., 1987, no. 11, 11–21

[25] Utyuzhnikov S. V., Konyukhov A. V., Vasilievsky S. V. et al., “Simulation of subsonic and supersonic flows in inductive plasmatrons”, AIAA Journal, 42:9 (2004), 1871–1877 | DOI

[26] Hall G., Watt J. M., Modern numerical methods for ordinary differential Equations, Clarendon Press, Oxford, UK, 1976 | MR | Zbl

[27] Loitsyanskii L. G., Mekhanika zhidkostei i gazov, Izd. 7-e, Drofa, M., 2003

[28] Abramovich G. N., Prikladnaya gazovaya dinamika, Ch. 1, Izd. 5-e, Nauka, M., 1991

[29] Landau L. D., Lifshits E. M., Teoreticheskaya fizika, v. VI, Gidrodinamika, Nauka, M., 1988