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Efficiency of energy separation at compressible gas flow in a planar duct

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Thermophysics and Aeromechanics Aims and scope

Abstract

The method of energy separation in a high-speed flow proposed by A.I. Leontyev is investigated numerically. The adiabatic compressible gas flow (of a helium-xenon mixture) with a low Prandtl number in a planar narrow duct and a flow with heat exchange in a duct partitioned by a heat-conducting wall are analysed. The temperature recovery factor on the adiabatic wall, degree of cooling the low-speed flow part, temperature efficiency, and the adiabatic efficiency in a duct with heat exchange are estimated. The data are obtained for the first time, which make it possible to compare the efficiency of energy separation in a high-speed flow with the efficiency of similar processes in vortex tubes and other setups of gas-dynamic energy separation.

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References

  1. A.D. Suslov, S.V. Ivanov, A.V. Murashkin, and Yu.V. Chizhikov, Vortex Apparatus, Mashinostroenie, Moscow, 1985.

    Google Scholar 

  2. Sh.A. Piralishvili, V.M. Polyaev, and M.N. Sergeev, Vortex Effect. Experiment, Theory, Technological Solutions, A.I. Leontiev (Ed.), UNTsP Energomash, Moscow, 2000.

  3. A.I. Leont’ev, Gas-dynamic methods of temperature stratification (a review), Fluid Dynamics, 2002, Vol. 37, No. 4, P. 512–529.

    Article  MATH  Google Scholar 

  4. A.I. Leontiev, New methods of gas-dynamic temperature stratification, Low Temperature and Cryogenic Refrigeration, 2003, Vol. 99, P. 249–263.

    Article  Google Scholar 

  5. Yu.N. Dubnishchev, V.G. Meledin, V.A. Pavlov, and N.I. Yavorsky, Study of flow structure and energy separation in vortex tube with square section, Thermophysics and Aeromechanics, 2003, Vol. 10, No. 4, P. 567–578.

    Google Scholar 

  6. S.V. Veretennikov, Increase of the efficiency of cooling the gas turbine blades at the expense of using the features of swirl flows, Vestnik Rybinskoi gos. aviats. tekhnol. akad., 2010, No. 2 (17), P. 23–28.

    Google Scholar 

  7. A.S. Noskov, A.V. Lovtsov, and A.V. Khait, Simulation of gas flow in double-circuit Ranque-Hilsch vortex tube, Computational Continuum Mechanics, 2012, Vol. 5, No. 3, P. 313–321.

    Article  Google Scholar 

  8. A.I. Leont’ev, Gas-dynamic method of energy separation of gas flows, High Temperature, 1997, Vol. 35, No. 1, P. 155–157.

    ADS  MathSciNet  Google Scholar 

  9. S.A. Burtsev and A.I. Leont’ev, Temperature stratification in a supersonic gas flow, Izv. Ross. Akad. Nauk, Energetika, 2000, No. 5, P. 101–113.

    Google Scholar 

  10. A.I. Leontiev, V.G. Lushchik, and A.E. Yakubenko, The recovery factor in a supersonic flow of gas with a low Prandtl number, High Temperature, 2006, Vol. 44, No. 2, P. 234–242.

    Article  Google Scholar 

  11. Yu.A. Vinogradov, I.K. Ermolaev, A.G. Zditovets, and A.I. Leont’ev, Measurement of the equilibrium temperature of the supersonic nozzle wall at the flow of mixture of gases with a low value of the Prandtl number, Izv. Ross. Akad. Nauk, Energetika, 2005, No. 4, P. 128–133.

    Google Scholar 

  12. I.I. Vigdorovich and A.I. Leont’ev, Theory of the energy separation of a compressible gas flow, Fluid Dynamics, 2010, Vol. 45, No. 3, P. 434–440.

    Article  ADS  MATH  Google Scholar 

  13. A.I. Leont’ev, V.G. Lushchik, and A.E. Yakubenko, Recovery coefficient in the gaseous screen region behind a permeable surface, Izv. Ross. Akad. Nauk, Energetika, 2006, No. 2, P. 12–18.

    Google Scholar 

  14. A.I. Leont’ev, V.G. Lushchik, and A.E. Yakubenko, Injection/suction effect on energy separation of compressible flows, Fluid Dynamics, 2011, Vol. 46, No. 6, P. 935–941.

    Article  ADS  MATH  Google Scholar 

  15. A.I. Leontiev, V.G. Lushchik, and M.S. Makarova, Temperature stratification under suction of the boundary layer from a supersonic flow, High Temperature, 2012, Vol. 50, No. 6, P. 739–743.

    Article  Google Scholar 

  16. A.I. Leontiev, V.G. Lushchik, and A.E. Yakubenko, Compressible turbulent boundary layer on a permeable plate with injection of foreign gas, High Temperature, 2007, Vol. 45, No. 4, P. 488–496.

    Article  Google Scholar 

  17. A.G. Zditovets and A.A. Titov, Influence of the form of the surface of a thermally insulated rod washed by supersonic flow on the temperature recovery factor, Izv. Ross. Akad. Nauk, Energetika, 2007, No. 2, P. 111–117.

    Google Scholar 

  18. M.S. Makarov and E.P. Volchkov, Gas-dynamic temperature stratification in supersonic flow, Izv. Ross. Akad. Nauk, Energetika, 2006, No. 2, P. 19–31.

    Google Scholar 

  19. M.S. Makarov, Gas-dynamic Temperature Stratification in Supersonic Flows, PhD thesis, Novosibirsk, 2007.

    Google Scholar 

  20. E.J. Coakley, Turbulence modeling methods for the compressible Navier—Stokes equations, in: 16th Fluid and Plasma Dynamics Conf.: AIAA Paper 1983–1693, 1983, P. 1–13.

    Google Scholar 

  21. P. Gerlinger and D. Bruggemann, An implicit scheme for the compressible Navier—Stokes equations with low-Reynolds-number turbulence closure, J. Fluids Engineering, 1998, Vol. 120, No. 6, P. 257–262.

    Article  Google Scholar 

  22. B. Weigand, J.R. Ferguson, and M.E. Crawford, An extended Kays and Crawford turbulent Prandtl number model, Int. J. Heat Mass Transf., 1997, Vol. 40, No. 17, P. 4191–4196.

    Article  Google Scholar 

  23. R.C. Reid, J.M. Prausnitz, and T.K. Sherwood, The Properties of Gases and Liquids, 3rd Edition, McGraw-Hill, New York, 1977.

    Google Scholar 

  24. S. Gordon and B.J. McBride, Computer program for calculation of complex chemical equilibrium compositions and applications, NASA, RP1311, Vol. 1, Washington, 1994.

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Authors and Affiliations

  1. Kutateladze Institute of Thermophysics SB RAS, Novosibirsk, Russia

    M. S. Makarov & S. N. Makarova

  2. Novosibirsk State Technical University, Novosibirsk, Russia

    M. S. Makarov

Authors
  1. M. S. Makarov
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  2. S. N. Makarova
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Correspondence to M. S. Makarov.

Additional information

The work was financially supported by the RF President (Grant MK-569.2012.8) and the Russian Foundation for Basic Research (Grant No. 11-08-00365a).

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Makarov, M.S., Makarova, S.N. Efficiency of energy separation at compressible gas flow in a planar duct. Thermophys. Aeromech. 20, 757–767 (2013). https://doi.org/10.1134/S0869864313060139

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  • DOI: https://doi.org/10.1134/S0869864313060139

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