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Interfacial Transfer in Annular Dispersed Flow

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Advances in Two-Phase Flow and Heat Transfer

Part of the book series: NATO ASI Series ((NSSE,volume 63))

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Abstract

The interfacial drag, droplet entrainment, droplet deposition and droplet size distributions are important for detailed mechanistic modeling of annular dispersed two-phase flow. In view of this, recently developed correlations for these parameters are presented and discussed in this paper. The onset of droplet entrainment significantly alters the mechanisms of mass, momentum, and energy transfer between the film and gas core flow as well as the transfer between the two-phase mixture and the wall. By assuming the roll wave entrainment mechanism, the correlations for the amount of entrained droplet as well as for the droplet size distribution have been obtained from a simple model in collaboration with a large number of data. Then the rate equations for entrainment and deposition have been developed. The drag correlations relevant to the droplet transfer is also presented. The comparison of the correlations to various data show satisfactory agreement.

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References

  1. Collier, J.G., Burnout in Liquid Cooled Reactors, Nuclear Power, vol. 5 (1961) 61.

    Google Scholar 

  2. Petrovichev, V.I., L.S. Kokorev, A.Ya. Didenko, and G.P. Dubvrovskiy, Droplet Entrainment in Boiling of Thin Liquid Film, Heat Transfer-Soviet Research, vol. 3 (1971) 19.

    Google Scholar 

  3. Hsu, Y.Y. and R.W. Graham, Transport Process in Boiling and Two-phase Systems (Hemisphere Publishing Company, Washington, 1976).

    Google Scholar 

  4. Duffey, R., The Physics of Rewetting in Water Reactor Emergency Core Cooling, Nuclear Engineering and Design, vol. 25 (1973) 379.

    Article  CAS  Google Scholar 

  5. Elias, E. and G. Vadigarouglu, The Reflooding Phase of the LOCA - State of the Art II, Rewetting and Liquid Entrainmen, Proceedings of the NATO Advanced Study Institute, Two-phase Flows and Heat Transfer, vol. 2 (1976) 1009–1040.

    Google Scholar 

  6. Ishii, M., Thermo-fluid Dynamic Theory of Two-phase Flow, Eyrolles, Paris (1975).

    Google Scholar 

  7. Delhaye, J.M., Equations fondamentales des ecoulements diphasiques, Parts 1 and 2, CEA-R-3429, France (1968).

    Google Scholar 

  8. Vernier, P. and J.M. Delhaye, General Two-phase Flow Equations Applied to the Thermohydrodynamics of Boiling Nuclear Reactor, Energie Primaire, vol. 4, Issue 1 (1968).

    Google Scholar 

  9. Bouré, J. and M. Réocruex, General Equations of Two-phase Flows, 4th All Union Heat and Mass Transfer Conference, Minsk, U.S.S.R. (1972).

    Google Scholar 

  10. Kocamustafaogullari, G., Thermo-fluid Dynamics of Separated Two-phase Flow, Ph.D. Thesis, School of Mechanical Engineering, Georgia Institute of Technology, Georgia (1971).

    Google Scholar 

  11. Chawla, T.C. and M. Ishii, Two-fluid Model of Two-phase Flow in a Pin Bundle of a Nuclear Reactor, Argonne National Laboratory Report ANL/RAS/LWR 79–5 (1979).

    Google Scholar 

  12. Amsden, A.A. and F.H. Harlow, K-TIF: A Two-fluid Computer Program for Downcomer Flow Dynamics, LA-6994, NRC-4 (1978).

    Google Scholar 

  13. Thurgood, M.J. et al., Core Thermal Model Development, PNL-2653–2, NUREG/CR0341 (1978) 101.

    Google Scholar 

  14. Bordkey, R.S., The Phenomena of Fluid Motions, Addison-Wesley, Reading, Massachusetts (1967) 561–565.

    Google Scholar 

  15. Hewitt, G.F. and N.S. Hall-Taylor, Annular Two-phase Flow, (Pergamon Press, New York (1970) 136–162).

    Google Scholar 

  16. Wallis, G.B., The Onset of Droplet Entrainment in Annular Gas-Liquid Flow, General Electric Company Report 62 GL 127 (1962).

    Google Scholar 

  17. Zuber, N., On the Atomization and Entrainment of Liquid Films in Shear Flow, General Electric Company Report 62 GL 153 (1962).

    Google Scholar 

  18. Wallis, G.B., One Dimensional Two-phase Flow, McGraw-Hill (1969) 345–531.

    Google Scholar 

  19. Kutateladze, S.S., Elements of the Hydrodynamics of Gas-Liquid System, Fluid Mechanics-Soviet Research, vol. 1 (1972) 29.

    Google Scholar 

  20. Ishii, M. and M.A. Grolmes, Inception Criteria for Droplet Entrainment in Two-phase Concurrent Film Flow, AIChE Journal, vol. 21 (1975) 308.

    Article  CAS  Google Scholar 

  21. Paleev, I.I. and B.S. Filippovich, Phenomena of Liquid Transfer in Two-phase Dispersed Annular Flow, International Journal of Heat Mass Transfer, vol. 9 (1966) 1089.

    Article  CAS  Google Scholar 

  22. Wallis, G.B., Phenomena of Liquid Transfer in Two-phase Dispersed Annular Flow, International Journal of Heat Mass Transfer, vol. 11 (1968) 783.

    Article  CAS  Google Scholar 

  23. Wicks, M. and A.E. Dukler, Entrainment and Pressure Drop in Concurrent Gas-Liquid Flow: Air-Water in Horizontal Flow, AIChE Journal, vol. 6 (1960) 463.

    Article  CAS  Google Scholar 

  24. Ishii, M. and K. Mishima, Liquid Transfer and Entrainment Correlation for Droplet-Annular Flow, 7th International Heat Transfer Conference, Munich (1982).

    Google Scholar 

  25. Ishii, M. and T.C. Chawla, Local Drag Laws in Dispersed Two-phase Flow, Argonne National Laboratory Report ANL-79–105 (1979).

    Google Scholar 

  26. Ishii, M. and N. Zuber, Drag Coefficient and Relative Velocity in Bubbly, Droplet or Particulate Flow, AIChE Journal, vol. 25 (1979) 843.

    Article  CAS  Google Scholar 

  27. Ishii, M., One-dimensional Drift-flux Model and Constitutive Equations for Relative Motion between Phases in Various Two-phase Flow Regimes, Argonne National Laboratory Report ANL–77–47 (1977).

    Book  Google Scholar 

  28. Kataoka, I., M. Ishii, and K. Mishima, Generation and Size Distribution of Droplet in Annular Two-Phase Flow, Submitted for publication in the ASME Journal of Fluid Engineering.

    Google Scholar 

  29. Ishii, M. and K. Mishima, Study of Two-Fluid Model and Interfacial Area, Argonne National Laboratory Report ANL-80–111, NUREG/CR-1873 (1980).

    Google Scholar 

  30. Cousins, L.B., W.H. Denton, and G.F. Hewitt, Liquid Mass Transfer in Annular Two-phase Flow, Sym. on Two-phase Flow, vol. 1, paper C4, Exter, England (1965).

    Google Scholar 

  31. Hutchinson, P., P.B. Walley, and G.F. Hewitt, Transient Flow Redistribution in Annular Two-phase Flow, International Journal of Multiphase Flow, vol. l (1974) 383.

    Article  Google Scholar 

  32. Wicks, M. and A.E. Dukler, In Situ Measurements of Drop Size Distribution in Two-phase Flow, International Heat Transfer Conference, Chicago, Illinois (1966).

    Google Scholar 

  33. Wicks, M., Liquid Film Structure and Drop Size Distribution in Two-phase Flow, Ph.D. Thesis, University of Houston (1967).

    Google Scholar 

  34. Cousins, L.B. and G.F. Hewitt, Liquid Phase Mass Transfer in Annular Two-phase Flow: Droplet Deposition and Liquid Entrainment, AERE-R5657 (1968).

    Google Scholar 

  35. Lindsted, R.D., D.L. Evans, J. Gass, and R.V. Smith, Droplet and Flow Pattern Data, Vertical Two-phase (Air-water) Flow Using Axial Photography, Department of Mechanical Engineering, Wichita State University (1978).

    Google Scholar 

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© 1983 Martinus Nijhoff Publishers, The Hague

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Ishii, M., Kataoka, I. (1983). Interfacial Transfer in Annular Dispersed Flow. In: Kakaç, S., Ishii, M. (eds) Advances in Two-Phase Flow and Heat Transfer. NATO ASI Series, vol 63. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-6845-5_6

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  • DOI: https://doi.org/10.1007/978-94-009-6845-5_6

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-009-6847-9

  • Online ISBN: 978-94-009-6845-5

  • eBook Packages: Springer Book Archive

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