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A nonequilibrium polydisperse flow in an axisymmetric nozzle with condensate particle coagulation and breakup

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Abstract

A kinetic description is given for the flow of a polydisperse medium, which is based on the general theory for nonequilibrium processes; the conversion to generalized transport equations is discussed and the closure of the infinite equation chain. An example is given of numerical calculations on such a flow in a nozzle on the basis of particle coalescence and breakup.

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Literature cited

  1. 1.

    P. M. Kolesnikov and A. A. Karpov, Nonstationary Two-Phase Gas-Liquid Flows in Channels [in Russian], Minsk (1986).

  2. 2.

    P. M. Kolesnikov, Transport-Theory Methods for Nonlinear Media [in Russian], Minsk (1981).

  3. 3.

    L. Boltzmann, Lectures on Gas Theory [Russian translation], Moscow (1956).

  4. 4.

    N. N. Bogolyukov, Selected Works in Three Volumes [in Russian], Vol. 2, Kiev (1970).

  5. 5.

    S. Chapman and T. Cowling, The Mathematical Theory of Inhomogeneous Gases [Russian translation], Moscow (1960).

  6. 6.

    J. Ferziger and G. Kaper, The Mathematical Theory of Transport in Gases [Russian translation], Moscow (1976).

  7. 7.

    P. M. Kolesnikov, Electrodynamic Plasma Acceleration [in Russian], Moscow (1971).

  8. 8.

    Yu. Ya. Klimontovich, Statistical Physics [in Russian], Moscow (1982).

  9. 9.

    V. P. Myasnikov, Zh. Prikl. Mat. Tell. Fiz., No. 2, 58–67 (1986).

  10. 10.

    Yu. A. Buevich, Prikl. Mat. Mekh.,35, No. 3, 464–481 (1971).

  11. 11.

    A. M. Gurov, The Principles of Kinetic Theory: Bogolyubov's Method [in Russian], Moscow (1966).

  12. 12.

    C. Crocksten, Liquid-State Physics: A Statistical Introduction [Russian translation], Moscow (1978).

  13. 13.

    B. V. Alekseev, The Mathematical Kinetics of Reacting Gases [in Russian], Moscow (1982).

  14. 14.

    S. V. Vallander, E. A. Nagnibeda, and M. A. Randalevskaya, Some Aspects of Kinetic Theory for Chemically Reacting Gas Mixtures [in Russian], Leningrad (1977).

  15. 15.

    Ya. I. Frenkel', The Kinetic Theory of Liquids [in Russian], Leningrad (1975).

  16. 16.

    V. P. Skripov, Metastable Liquids [in Russian], Moscow (1972).

  17. 17.

    V. A. Akulichev, Cavitation in Cryogenic and Boiling Liquid [in Russian], Moscow (1978).

  18. 18.

    L. E. Sternin, Principles of Gas Dynamics for Two-Phase Flows in Nozzles [in Russian], Moscow (1976).

  19. 19.

    R. I. Nigmatulin, Prikl. Mat. Mekh.,34, No. 6, 1097–1112 (1970).

  20. 20.

    A. N. Kraiko, R. I. Nigmatulin, V. K. Starkov, and L. E. Sternin, Surveys of Scierce and Engineering: Hydromechanics [in Russian], Vol. 6, Moscow (1972), pp. 127–153.

  21. 21.

    I. M. Vasenin, V. A. Arkhipov, V. G. Butov, et al., The Gas Dynamics of Two-Phase Flows in Nozzles [in Russian], Tomsk (1986).

  22. 22.

    A. D. Rychkov, Izv. Akad. Nauk SSSR, Mekh. Zhd. Graza, No. 1, 82–90 (1980).

  23. 23.

    L. E. Sternin, B. N. Maslov, A. A. Shraiber, and A. M. Podvysotskii, Two-Phase Monodisperse and Polydisperse Flows of Gas Containing Droplets [in Russian], Moscow (1980).

  24. 24.

    Henderson, Raket. Tekh. Komon., No. 6, 5–7 (1976).

  25. 25.

    Carlson and Hogland, Raket. Tekh., No. 11, 104–109 (1964).

  26. 26.

    Yu. F. Kisarov and A. M. Lipanov, Izv. Akad. Nauk SSSR, Mekh. Zhd. Graza No. 4, 161–165 (1975).

  27. 27.

    R. W. MacCormac, AIAA Paper, No. 354, 1–8 (1969).

  28. 28.

    A. D. Rychkov, Numerical Methods in Visocus-Liquid Dynamics [in Russian] (1983), pp. 86–92.

  29. 29.

    A. A. Blynskaya, Yu. B. Lifshits, V. D. Perminov, Uch. Zap. TsAGI,5, 1 128–131 (1974).

  30. 30.

    A. P. Tishin and R. I. Khairutdinov, Izv. Akad. Nauk SSR, Mekh. Zhd. Graza No. 5, 181–185 (1971).

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Kolesnikov, P.M., Leskovets, V.V. A nonequilibrium polydisperse flow in an axisymmetric nozzle with condensate particle coagulation and breakup. Journal of Engineering Physics 58, 741–749 (1990). https://doi.org/10.1007/BF00872729

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Keywords

  • Statistical Physic
  • Numerical Calculation
  • General Theory
  • Transport Equation
  • Generalize Transport