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The effects of gravity on the features of the interfacial waves in annular two-phase flow

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Abstract

A physical model of interfacial waves in annular two-phase flow was studied in both microgravity and normal gravity. The wave structure was obtained for local film thickness and velocity measurements using a conductance probe technique. It was found that the wave height, and not its width, is strongly affected by changing the gravity level. In fact, the wave height in normal gravity is more than twice that in microgravity. Using an analogous approach to a turbulent, single-phase flow in a rough tube, a preliminary mathematical model was proposed to calculate the wave amplitude. The model fits well with the experimental data and shows that the wave height in normal gravity is approximately 1.7 times the combined thickness of the viscous sublayer and transition zones in the turbulent gas stream. The wave height in microgravity was estimated to be approximately 80% of the total thickness.

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References

  1. Yao S.C., Sylvester N.D.: A mechanistic model for two-phase annularmist flow in vertical pipes. AIChE J., vol. 33, p. 1008–1012 (1987)

    Article  Google Scholar 

  2. Schmidt J., Friedel L.: Two-phase pressure drop across sudden contractions in duct areas. Int. J. Multiphase Flow, vol. 23, p. 283 (1997)

    Article  MATH  Google Scholar 

  3. Fore L.B., Dukler A.E.: Droplet deposition and momentum transfer in annular flow. AIChE J., vol. 41, p. 2040 (1995)

    Article  Google Scholar 

  4. Hewitt G.F.: Multiphase flow: The gravity of the situation. Third Microgravity Fluid Physics Conference, Cleveland, Ohio, June 1996, p. 1–22 (1996)

  5. Azzopardi B.J.: Mechanisms of entrainment in annular two-phase flow. UKAEA Report AERE-R 11068 (1983)

  6. Barbbosa J. R. Jr,Hewitt G. F., Konig G., Richardson S.M. etc: Liquid entrainment, droplet concentration and pressure gradient at the onset of annular flow in a vertical pipe. Int. J. of Multiphase Flow, vol. 28, p. 943–961 (2002)

    Article  Google Scholar 

  7. Schadel S.A., Hanratty T.J.: Interpretation of atomization rates of the liquid film in gas-liquid annular flow. Int. J. Multiphase Flow, vol. 15, No.6, p. 893–900 (1989)

    Article  Google Scholar 

  8. Lopezde BertodanoM.A., Assad A., Beus S.G.: Experiments for entrainment rate of droplets in the annular regime. Int. J. Multiphase Flow, vol. 27, p. 685–699 (2001)

    Article  MATH  Google Scholar 

  9. Banner M.L.: The influence of wave breaking on the surface pressure distribution in wind-wave interactions. J. Fluid Mech., vol. 211, p. 463–495 (1990) 16

    Article  Google Scholar 

  10. Ishii M., Mishima K.: Droplet entrainment correlation in annular two-phase flow. Int. J. Heat Mass Transfer, vol. 32, p. 1835–1845 (1989)

    Article  Google Scholar 

  11. Jayanti S., Hewitt G.F.: Hydrodynamics and heat transfer in wavy annular gas-liquid flow: a computational fluid dynamics study. Int. J. Heat Mass Transfer, vol. 40, No. 10, p. 2445–2460 (1997)

    Article  MATH  Google Scholar 

  12. Miya M., Woodmansee D.E., Hanratty T.J.: A model for roll waves in gas-liquid flow. Chem. Eng. Sci., vol. 26, p. 1915–1931 (1971)

    Article  Google Scholar 

  13. Zanelli S., Hanratty T.J.: Effect of entrainment on roll waves in air-liquid flow. Shorter communications. Chem. Eng. Sci., vol. 28, p. 643–644 (1973)

    Google Scholar 

  14. Pols R.M., Hibberd S., Azzopardi B.J.: Discontinuous wave solutions in stratified and annular two-phase flows. Third International Conference on Multiphase Flow, Lyon, France, June 8–12, 1998, p. 1-8 (1998)

  15. Kudirka A.A.: Two-phase heat transfer with gas injection through a porous boundary surface. ANL- 6862, Argonne National Laboratory, Chicago. (1964)

    Google Scholar 

  16. MacGillivray R.M., Gabriel K.S.: A study of annular flow film characteristics in microgravity and hypergravity conditions. Proc. 53rd International Astronautical Conf., Houston (2002)

  17. MacGillivray R.M., Leislar T.J., Gabriel K.S.: The effect of gravity on annular two-phase flow. Final Report to the Canadian Space Agency, November, 2001 (2001)

  18. Bendat J.S., Piersol A.G.: Engineering applications of correlation and specttral analysis. John Wiley & Sons, New York. (1980)

    Google Scholar 

  19. Coleman H.W., Steele. W.G.: Experimentation and uncertainty analysis for engineers. John Wiley &Sons, New York. (1998)

    Google Scholar 

  20. Ariyadasa U.:. An Investigation of film thickness and pressure in upward and downward annular twophase flow. M. Sc. Thesis. University of Saskatchewan, Saskatoon, Canada. (2002)

    Google Scholar 

  21. Pieter de Jong, Gabriel K.S.: A preliminary study of two-phase annular flow at microgravity: experimental data of film thickness. Int. J. Multiphase Flow. Accepted (after 2004)

  22. Zhu Z.F., Gabriel K. S.: A Study of the Interfacial Features of Gas-liquid Annular Two-phase Flow. M.Sc. Thesis, University of Saskatchewan, Saskatoon, Canada. (2003)

    Google Scholar 

  23. Sekoguchi K., Takeishi M. andIshimatsu T.: Interfacial structure in vertical upward annular flow. PCH PhysicoChemical Hydrodynamics, vol. 6, no. 1/2, p.239–255 (1985)

    Google Scholar 

  24. Han H.W. & Gabriel K.S.: CFD application for the prediction of entrainment fraction of gas-liquid annular flow at microgravity. 2nd International Symposium on Physical Sciences in Space. Held jointly with Spacebound. May 23–May 27, Toronto, Canada. (Accepted) (2004)

  25. Jepson D.M., Azzopardi B J. &Whalley P.B.: The effect of gas properties on drops in annular flow. Int. J. Multiphase Flow, vol. 15, p. 327–339 (1989)

    Article  Google Scholar 

  26. Nedderman R.M., Shearer C.J.: The motion and frequency of large disturbance waves in annular twophase flow of air-water mixtures. Chem. Eng. Sci., vol. 18, p. 661–670 (1963)

    Article  Google Scholar 

  27. Franzini J.B., Finnemore E. J.: Fluid Mechanics with Engineering Applications. Nineth Edition, McGraw-Hill Companies. p. 280–284 (1997)

  28. Wallis G.B.: One-Dimensional Two-Phase Flow. McGraw-Hill, New York (1969)

    Google Scholar 

  29. Pushkina O.L., Sorokin Y. L.: Breakdown of liquid film motion in vertical tubes. Heat transfer Sov. Res., vol. 1, p. 56 (1969)

    Google Scholar 

  30. Taitel Y., Bornea D., Dukler A.E.: Modeling flow pattern transitions for steady upward gas-liquid flow in vertical tubes. AIChE J., vol. 26, p. 345–354 (1980)

    Article  Google Scholar 

  31. Chen J.J., Spedding P.L.: Transition to annular flow in vertical upward gas-liquid flow: Letters to the editor. AIChE, vol. 29, p.525–526 (1983)

    Article  Google Scholar 

  32. Sylvester N.D.: Transition to annular flow in vertical upward gas-liquid flow: Letters to the editor. AIChE J., vol. 30, p.700–701 (1984)

    Article  Google Scholar 

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Wang, Z.L., Gabriel, K.S. & Zhu, Z.F. The effects of gravity on the features of the interfacial waves in annular two-phase flow. Microgravity Sci. Technol 15, 19–27 (2004). https://doi.org/10.1007/BF02870961

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