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Flow Patterns, Transitions and Models for Specific Flow Patterns

  • Barry Azzopardi
  • John Hills
Part of the International Centre for Mechanical Sciences book series (CISM, volume 450)

Abstract

This chapter presents flow patterns, the configurations into which gas/liquid flows can arrange themselves in pipes and other geometries. Simple, mainly empirical, graphical methods for predicting the flow patterns occurring are then presented. The effect of flow patterns on heat transfer and of heat transfer on flow patterns are then considered. Models for the individual flow pattern transitions for vertical and horizontal (and near horizontal) pipes are then introduced. Important background areas such as flooding are covered. The extension of the models to annuli is also presented. Finally models for individual flow patterns are considered. In vertical flow slug and annular flow are examined. In addition, the latest material for churn flow, for which there is not a well-developed model, is presented. For horizontal flows, stratified, annular and slug flow are studied.

Keywords

Flow Pattern Void Fraction Multiphase Flow Slug Flow Annular Flow 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. Agrawal, S.S., Gregory, G.A., and Govier, G.W. (1973) An analysis of horizontal stratified two-phase flow in pipes. Canadian Journal of Chemical Engineering 51: 280–286.CrossRefGoogle Scholar
  2. Akelseev, V.P., Poberezkin, A.E., and Gerasimov, P.V. (1972) Determination of flooding rates in regular packings. Heat Transfer Soviet Research 4: 159–163.Google Scholar
  3. Alves, G.E. (1974) Experience with industrial co-current liquid-gas pipelines. Institution of Chemical Engineers Symposium Series. No.38, Paper Fl.Google Scholar
  4. Aly, A.M.M. (1981) Flow regime boundaries for an interior subchannel of a horizontal 37-element bundle. Canadian Journal of Chemical Engineering 59: 158–163.CrossRefGoogle Scholar
  5. Ambrosini, W., Andreussi, P., and Azzopardi, B.J. (1990) A physically based correlation for drop size in annular flow. International Journal of Multiphase Flow 17: 497–507.CrossRefGoogle Scholar
  6. Andritsos, N. (1986) Effect of pipe diameter and liquid viscosity on horizontal stratified flow. PhD thesis, Univ. Illinois, Urbana.Google Scholar
  7. Andritsos, N., and Hanratty, T.J. (1987) Influence of interfacial waves in stratified gas-liquid flows. American Institute of Chemical Engineers Journal 33: 444–454.CrossRefGoogle Scholar
  8. Andritsos, N., Williams, L., and Hanratty, T.J. (1989) Effect of liquid viscosity on the stratified-slug transitions in horizontal pipe flow. International Journal of Multiphase Flow 15: 877–892CrossRefGoogle Scholar
  9. Asali, J.C., Hanratty, T.J., and Andreussi, P. (1985) Interfacial drag and film height for vertical annular flow. AIChE J 31:895–902.Google Scholar
  10. Assad, A., Jan, C., Lopez de Beltodrano, M., and Beus, S., (1998) Scaled experiments in ripple annular flow in a small tube. Nuclear Engineering Design 184: 437–447.CrossRefGoogle Scholar
  11. Azzopardi, B.J., Govan, A.H., and Hewitt, G.F. (1985) Slug flow in horizontal pipes. Symposium on Pipelines,Utrecht, I.Chem.E., European Branch Symposium Series No 4, 2:213–225.Google Scholar
  12. Azzopardi, B.J. (1996) Prediction of dryout and post-burnout heat transfer with axially non-uniform heat input by means of an annular flow model. Nuclear Engineering and Design 163: 51–57.CrossRefGoogle Scholar
  13. Azzopardi, B.J., and Rea, S. (1999) Modelling the split of horizontal annular flow at a T-junction. Tranaction of the Institution of Chemical Engineers 77A: 713–720.CrossRefGoogle Scholar
  14. Azzopardi, B.J., and Zaidi, S.H. (2000) Determination of entrained fraction in vertical annular gas/liquid flow. Journal of Fluids Engineering. 122: 146–150.CrossRefGoogle Scholar
  15. Azzopardi, B.J. (2000) Multiphase flow in Venturis. 7rh International Conference on Multiphase Flow in Industrial Plants, Bologna, 13–15 September.Google Scholar
  16. Azzopardi, B.J., and Wren, E. (2002) What is entrainment in vertical two-phase churn flow? 40`h European Two-Phase Flow Group Meeting, Stockholm, June.Google Scholar
  17. Azzopardi, B.J., Conte, G., and Wren, E. (2002) The split of two-phase slug and churn flow at a vertical regular T-junction. Submitted.Google Scholar
  18. Baker, O. (1954) Simultaneous flow of oil and gas. Oil and Gas Journal 53: 185–195.Google Scholar
  19. Barbosa, J., Richardson, S., and Hewitt, G.F. (2001) Churn flow: myth, magic and mystery. 30 European Two-Phase Flow Group Meeting, Aveiro, Portugal, 18–20, June.Google Scholar
  20. Barnea, D., Shoham, O., and Taitel, Y. (1982) Flow pattern transition for downward inclined two-phase flow: Horizontal to vertical. Chemical Engineering Science 37: 735–740.CrossRefGoogle Scholar
  21. Barnea, D., and Taitel, Y. (1985) Flow pattern transition in two-phase gas-liquid flows. In Encyclopedia of Fluid Mechanics, Volume 3 (ed. N. Cheremisinoff ), Gulf Publishing Co.Google Scholar
  22. Barnea, D. (1986) Transition from annular flow and from dispersed bubble flow–unified models for the whole range of pipe inclinations. International Journal of Multiphase Flow 12: 733–744.MATHCrossRefGoogle Scholar
  23. Barnea, D., and Taitel, Y. (1992)Google Scholar
  24. Belkin, H.H., Macleod, A.A., Monrad, C.C., and Rothfus, R.R. (1959) Turbulent liquid flow down vertical walls. American Institute of Chemical Engineers Journal 5: 245–248.CrossRefGoogle Scholar
  25. Bell, K.J., Taborek, J., and Fenoglio, F. (1970) Interpretation of horizontal in-tube condensation heat transfer correlations with a two-phase flow regime map. American Institute of Chemical Engineers Symposium Series No. 102, 66: 150–163.Google Scholar
  26. Bennett, A.W., Hewitt, G.F., Kearsey, H.A., Keeys, R.K.F., and Lacey, P.M.C. (1965) Flow visualisation studies of flow boiling at high pressures. Proceedings of the Institution of Mechanical Engineers 180: Paper no 5.Google Scholar
  27. Bergles, A.E. (1969) Two-phase flow structure observations for high pressure water in a rod bundle. ASME Winter Annual Meeting Los Angeles, Two Phase Flow in Rod Bundles,:47–55.Google Scholar
  28. Bonnecaze, R.H., Erskine, W., and Greskovich, E.J. (1971) Holdup and pressure drop for two-phase slug flow in inclined pipelines. American Institute of Chemical Engineers Journal 17: 1109–1113.CrossRefGoogle Scholar
  29. Brauner, N., and Barnea, D. (1986) Slug/churn transition in upward gas-liquid flow. Chem.Eng.Sci. 40: 159–163.CrossRefGoogle Scholar
  30. Brauner, N. (2001)The prediction of dispersed flow boundaries in liquid-liquid and gas-liquid systems. International Journal of Multiphase Flow 27: 885–910.Google Scholar
  31. Butterworth, D. (1967) A visual study of mechanisms in horizontal air water flow. UKAEA Report, AERE M 2556.Google Scholar
  32. Butterworth, D., and Pulling, D.J., (1972) A visual study of mechanisms in horizontal annular, air-water flow. UKAEA Report AERE M2556.Google Scholar
  33. Butterworth, D. (1973) An analysis of film flow for horizontal flow and condensation in a horizontal tube. UKAEA Report AERE R7575.Google Scholar
  34. Butterworth, D., and Pulling, D.J. (1973) Film flow and film thickness measurements for horizontal annular air-water flow. UKAEA Report AERE R7576.Google Scholar
  35. Caetano, E.F., Shoham, O., and Brill, J.P. (1992) Upward vertical two-phase flow through an annulus. Part I: Single-phase friction factor, Taylor bubble rise velocity and flow pattern prediction. Journal of Energy Resources Engineering 114: 1–13.CrossRefGoogle Scholar
  36. Calderbank, P.H. (1958) Physical rate processes in industrial fermentation. Part I: The interfacial area in gas-liquid contacting with mechanical agitation. Transactions of the Institution of Chemical Engineers 36: 443–463.Google Scholar
  37. Celata, G.P., Cumo, M., Farello, G.E., Mariani, A., and Solimo, A. (1991) Flow pattern recognition in heated vertical channels: steady state and transient conditions. Experimental Thermal and Fluid Science 4: 737–746.CrossRefGoogle Scholar
  38. Chaudry, A.B. (1967) A study of the flow of air and water in vertical tubes. PhD Thesis, University of Edinburgh.Google Scholar
  39. Chawla, J.M. (1967) Waermeubergang und druckabfall in waagerechten rohren fur der stromung von verdampfenden. VDI Forschungs Heft 523.Google Scholar
  40. Chen, X.T., Cai, X.A., and Brill, J.P. (1997) A general model for transition to dispersed bubble flow. Chemical Engineering Science 52: 4373–4380.CrossRefGoogle Scholar
  41. Cheng, H., Hills, J.H., and Azzopardi, B.J. (1998) A study of the bubble-to-slug transition in vertical gasliquid flow in columns of different diameter. International Journal of Multiphase Flow 24: 431–452.MATHCrossRefGoogle Scholar
  42. Cheng, H., Hills, J.H., and Azzopardi, B.J. (2002) Effects of initial bubble size on flow pattern transition in a 28.9 mm diameter column. International Journal of Multiphase Flow 28: 1047–1062.MATHCrossRefGoogle Scholar
  43. Chhabra, R.P., and Richardson, J.F. (1985) Co-current horizontal and vertically upward flow of gas and non-Newtonian liquid. In Encyclopedia of Fluid Mechanics, Volume 3 (ed. N. Cheremisinoff ), Gulf Publishing Co, Houston.Google Scholar
  44. Chong, L.Y., Azzopardi, B.J., and Bate, D.J. (2002) Modelling the process side of fired reboilers. 40`h European Two-Phase Flow Group Meeting, Stockholm, June.Google Scholar
  45. Chong, L.Y., Azzopardi, B.J., and Hankins, Hankins, N.P. (2001) Entrainment rate in annular two-phase flow. U.K. National Heat Transfer Conference, Nottingham, SeptemberGoogle Scholar
  46. Chung, K. S., Liu, C. P., and Tien, C. L. (1980) Flooding in two-phase counter-current flows — II Experimental investigation. PhysicoChemical Hydrodynamics 1: 209–220.Google Scholar
  47. Coney, M.W.E. (1974) The analysis of a mechanism of liquid replenishment and draining in horizontal two-phase flow. International Journal of Multiphase Flow 1: 647–670.CrossRefGoogle Scholar
  48. Costigan, G., and Whalley, P.B. (1997) Slug flow regime identification from dynamic void fraction measurements in vertical air-water flows. International Journal of Multiphase Flow 23: 263–282.MATHCrossRefGoogle Scholar
  49. Das, G., Das, P.K., Purohit, N.K., and Mitra, A.K. (1999) Flow pattern transition during gas liquid upflow through vertical concentric annuli. Journal of Fluids Engineering 121:pp 895–907.CrossRefGoogle Scholar
  50. de Cachard, F., and Delhaye, J.M. (1996) A slug-churn model for small-diameter airlift pumps. International Journal of Multiphase Flow 22: 627–649.MATHCrossRefGoogle Scholar
  51. Dukler, A.E., and Hubbard, M.G. (1975) A model for gas-liquid slug flow in horizontal and near horizontal tubes. Industrial and Engineering Chemistry Fundamentals 14: 337–347.CrossRefGoogle Scholar
  52. Dukler, A.E., and Smith, L. (1979) Two-phase interactions in counter-current flow: studies of the flooding mechanism. USNRC Report NUREG/CR- 0617.Google Scholar
  53. Dukler, A.E., and Taitel, Y. (1984), “Flow pattern transitions in gas-liquid systems: Measurement and modelling”, In Multiphase Science and TechnologyVolume 2, Hemisphere Pub. Corp. Google Scholar
  54. Ekberg, N.P., Ghiaasiaan, S.M., Abdel-Khalik, S.I., Yoda, M., and Jeter, S.M. (1999) Gas-liquid two-phase flow in narrow horizontal annuli. Nuclear Engineering and Design 192:59–80.Google Scholar
  55. Fair, J.R. (1960) What you need to know to design thermo-siphon re-boilers. Petroleum Refiner 39: Fernandes, R.C., Semiat, R., and Dukler, A. E. (1983) Hydrodynamic model for gas-liquid slug flow in vertical tubes.. American Institute of Chemical Engineers Journal 29: 981–989.Google Scholar
  56. Fernschneider, G., Lagiere, M., Bourgeois, T., and Fitremann, J.M. (1985) How to calculate two-phase flow of gas and oil in pipelines. Pipe Line Industry 63: 33.Google Scholar
  57. Fisher, S.A., and Pearce, D.L. (1978) A theoretical model for describing horizontal annular flows. International Seminar on Momentum, Heat and Mass Transfer in Two-Phase Energy and Chemical Systems, Dubrovnik, Yugoslavia.Google Scholar
  58. Fisher, S.A., and Pearce, D.L. (1993) An annular flow model for predicting liquid carryover into austenitic superheaters. International Journal of Multiphase Flow 19: 295–307.MATHCrossRefGoogle Scholar
  59. Fitremann, J M (1977) Ecoulements diphasiques: théorie et applications à l’étude de quelques régimes d’écoulements verticaux ascendants d’un mélange gaz-liquide. Thèse d’état, Univ. P.and M. Curie, Paris V I.Google Scholar
  60. Flores, A.G., Crowe, K.E., and Griffith, P. (1995) Gas-phase secondary flow in horizontal stratified and annular two-phase flow. International Journal of Multiphase Flow 21: 207–221.MATHCrossRefGoogle Scholar
  61. Frankum, D.P., Wadekar, V.V., and Azzopardi, B.J. (1997) Two-phase flow patterns for evaporating flow. Experimental Thermal and Fluid Science 15:183–192.Google Scholar
  62. Friedel, L. (1979) Improved friction pressure drop calculations for horizontal and vertical two-phase pipe flow. European Two-phase Flow Group Meeting.Google Scholar
  63. Fukano, T., and Ousaka, A. (1989) Prediction of the circumferential distribution of film thickness in horizontal and near-horizontal gas-liquid annular flow. International Journal of Multiphase Flow 15: 403419.Google Scholar
  64. Funada, T., and Joseph, D.D. (2001) Viscous potential flow analysis of interfacial instability in a channel. Journal of Fluid Mechanics 445: 263–283.MATHMathSciNetCrossRefGoogle Scholar
  65. Furukawa, T., and Fukano, T. (2001) Effects of liquid viscosity on flow patterns in vertical upward gasliquid two-phase flow. International Journal of Multiphase Flow 27: 1109–1126.MATHCrossRefGoogle Scholar
  66. Gomez, L.E., Shoham, O., Schmidt, Z., Chohski, R.N., Brown, A., and Northug, T. (1999) A unified mechanistic model for steady-state two-phase flow in wellbores and pipelines. SPE 56520, Proceedings of the SPE Annual Technical Conference and Exhibition, Houston, Ill: 307–320.Google Scholar
  67. Govan, A. H., Hewitt, G. F., Richter, H. J., and Scott, A. (1991) Flooding and churn flow in vertical pipes. International Journal of Multiphase Flow 17:27–44.Google Scholar
  68. Gould, T.L. (1972) Vertical two-phase flow in oil and gas wells. PhD Thesis, University of Michigan. Grant, I.D.R. ( 1975 ) Flow and pressure drop with single-phase and two-phase flow on the shell side of segmentally baffled shell-and-tube heat exchangers. NEL Report 590.Google Scholar
  69. Gregory, G.A., and Scott, D.S. (1969) Correlation of liquid slug velocity and frequency in horizontal cocurrent gas-liquid slug flow.. American Institute of Chemical Engineers Journal 15: 933–935.CrossRefGoogle Scholar
  70. Gregory, G.A., Nicholson, M.K., and Aziz, K. (1978) Correlation of the slug liquid volume fraction in the slug for horizontal gas-liquid slug flow. International Journal of Multiphase Flow 4:33–39.Google Scholar
  71. Grolman, E., and Fortuin, J.M.H. (1997) Gas-liquid flows in slightly inclined pipes. Chemical Engineering Science 52: 4461–4471.Google Scholar
  72. Harmathy, T.Z. (1960) Velocity of large drops and bubbles in media of infinite or restricted extent. American Institute of Chemical Engineers Journal 6: 281–288.CrossRefGoogle Scholar
  73. Hart, J., Hamersma, P.J., and Fortuin, J.M.H. (1989) Correlations predicting frictional pressure drop and liquid holdup during horizontal gas-liquid pipe flow with a small liquid holdup. International Journal of Multiphase Flow 15: 947–964.CrossRefGoogle Scholar
  74. Hashizume, K., Ogiwara, H., and Taniguchi, H. (1985) Flow pattern void fraction and pressure drop of refrigerant two-phase flow in a horizontal pipe — II analysis of frictional pressure drop. International Journal of Multiphase Flow 11:643–658.Google Scholar
  75. Henstock, W.H., and Hanratty, T.J. (1976) The interfacial drag and height of the wall layer in annular flows.. American Institute of Chemical Engineers Journal 22: 990–1000.CrossRefGoogle Scholar
  76. Hewitt, G.F. (1983) Two-phase flow and its applications: past, present and future. Heat Transfer Engineering 4: 67–79.CrossRefGoogle Scholar
  77. Hewitt, G.F., and Roberts, D.N. (1969) Studies of two-phase patterns by simultaneous x-ray and flash photography. UKAEA Report AERE M2159.Google Scholar
  78. Hewitt, G.F., and Govan, A.H. (1990) Phenomenological modelling of non-equilibrium flow with phase change. International Journal of Heat Mass Transfer 32: 229–242.CrossRefGoogle Scholar
  79. Hewitt, G.F., Gill, L.E., Roberts, D.N., and Azzopardi, B.J. (1990) The split of low inlet quality gas/liquid flow at a vertical T - Experimental data. UKAEA Report AERE M3801.Google Scholar
  80. Hills, J.H. (1976) The operation of a bubble column at High Throughput–I Gas holdup measurements. Chemical Engineering Journal 12: 89–99.CrossRefGoogle Scholar
  81. Hills, J.H., and Chéty, P. (1998) The rise velocity of a Taylor bubble in an annulus. Transactions of the Institution of Chemical Engineers 76A: 723–727.CrossRefGoogle Scholar
  82. Hinze, J.O. (1955) Fundamentals of the hydrodynamic mechanism of splitting of dispersion processes. American Institute of Chemical Engineers Journal 1: 289–295.CrossRefGoogle Scholar
  83. Holt, A.J., Azzopardi, B.J., and Biddulph, M.W. (1999) Calculation of two-phase pressure drop for vertical upflow in narrow passages by means of a flow pattern specific model. Transactions of the Institution of Chemical Engineers 77A: 7–15.CrossRefGoogle Scholar
  84. Hosier, E.R. (1967) Flow pattern in high pressure (steam-water) flow. Westinghouse AEC RandD Report No. WAPD-TM-658.Google Scholar
  85. Hsu, Y.Y. and Simon, F.F. (1969) Stability of cylindrical bubbles in a vertical pipe. ASME pap. 69-HT-28. Hurlburt, E.T., and Newell, T.A. (2000) Prediction of the circumferential film thickness distribution in horizontal annular gas-liquid flow. Journal of Fluids Engineering 122: 1–7.Google Scholar
  86. Hurlburt, E.T., and Hanratty, T.J. (2002) Prediction of the transitions from stratified to slug and plug flow for long pipes. International Journal of Multiphase Flow 28: 707–729.MATHCrossRefGoogle Scholar
  87. Ishii, M. (1977) One-dimensional drift-flux model and constitutive equations for relative motion between phases in various two-phase flow regimes. ANL Report ANL-77–47.Google Scholar
  88. James, P.W., Wilkes, N.S. Conkie, W., and Burns A. 1(987) Developments in the modelling of horizontal annular two-phase flow. International Journal of Multiphase Flow 13: 173–198.Google Scholar
  89. Jayanti, S. Wilkes, N.S. Clarke, D.S., and Hewitt, G.F., (1990) The prediction of turbulent flows over roughened surfaces and its application to interpretation of mechanisms of horizontal annular flow. Proceedings of the Royal Society A 431: 71–88.MATHCrossRefGoogle Scholar
  90. Jayanti, S, and Hewitt, G.F. (1992) Prediction of the slug-to-churn transition in vertical two-phase flow. International Journal of Multiphase Flow 18: 847–860.MATHCrossRefGoogle Scholar
  91. Jayanti, S, Tokarz, A., and Hewitt, G.F. (1996) Theoretical investigation of the diameter effect on flooding in countercurrent flow. International Journal of Multiphase Flow 22: 307–324.MATHCrossRefGoogle Scholar
  92. Jeffreys, H. (1925) On the formation of water waves by wind. Proceeding of the Royal Society (London) A107: 189–206.MATHCrossRefGoogle Scholar
  93. Jeffreys, H. (1926) On the formation of waves by wind. Proceeding of the Royal Society (London) A110: 241–247.MATHCrossRefGoogle Scholar
  94. Jepson, W.P. (1988) Liquid film thickness variation in horizontal annular flow in large diameter pipes. AERE Report R12991.Google Scholar
  95. Jones Jr, O.C., and Zuber, N. (1975) The interaction between void fraction fluctuations and flow patterns in two-phase flow. International Journal of Multiphase Flow 2: 273–306CrossRefGoogle Scholar
  96. Kaya, A.S., Sarica, C., and Brill, J.P. (1999) Comprehensive mechanistic modeling of two-phase flow in deviated wells. SPE 565220, Proc. SPE Annual Technical Conf. and Exhib., Houston, 1: 331–342.Google Scholar
  97. Kelessidis, V.C., and Dukler, A.E. (1989) Modelling flow pattern transitions for upward gas-liquid flow in vertical concentric and eccentric annuli. International Journal of Multiphase Flow 15: 173–191.CrossRefGoogle Scholar
  98. Kowalski, J.E. (1987) Wall and interfacial shear stress in stratified flow in a horizontal pipe. American Institute of Chemical Engineers Journal 33: 274–281.CrossRefGoogle Scholar
  99. Krishnan, V.S., and Kowalski, J.E. (1984) Stratified-slug flow transition in a horizontal pipe containing a rod bundle. American Institute of Chemical Engineers Symposium Series 80 (236): 282–289Google Scholar
  100. Kubie, J., and Gardner, G..C. (1977) Drop sizes and drop dispersion in straight horizontal tubes and helical coils. Chemical Engineering Science 32: 195–202.CrossRefGoogle Scholar
  101. Landman, M.J. (1991) Non-unique holdup and pressure drop in two-phase stratified inclined pipe flow. International Journal of Multiphase Flow 17: 377–394.MATHCrossRefGoogle Scholar
  102. Laurinat, J.E. Hanratty, T.J., and Jepson, W.P. (1985) Film thickness distribution for gas-liquid annular flow in a horizontal pipe. PhysicoChemical Hydrodynamics 6: 179–195.Google Scholar
  103. Lin, P.Y., and Hanratty, T.J. (1986) Prediction of the initiation of slugs with linear stability theory. International Journal of Multiphase Flow 12: 79–98.CrossRefGoogle Scholar
  104. Lin, P.Y., and Hanratty, T.J. (1987) Effect of pipe diameter on flow patterns for air-water flow in horizontal pipes. International Journal of Multiphase Flow 13: 549–563.CrossRefGoogle Scholar
  105. Lockhart, R.W., and Martinelli, R.C. (1949) Proposed correlation of data for isothermal, two-phase, two-component flow in pipes. Chemical Engineering Progress 45: 39–48.Google Scholar
  106. Matsui, G. (1984) Identification of flow regimes in vertical gas-liquid two-phase flow using differential pressure fluctuations. International Journal of Multiphase Flow 10: 711–720.CrossRefGoogle Scholar
  107. Matuszkiewicz, A., Flamand, J.C., and Bouré, J.A. (1987) The bubble-slug flow pattern transition and instabilities of void fraction waves. International Journal of Multiphase Flow 13: 199–217.CrossRefGoogle Scholar
  108. Mayinger, F., and Zetzmann, K. (1976) Flow pattern of two-phase flow in inside-cooled tubes; a generalised of flow pattern map based on investigation in water and freon. Advanced Study Institute in Twophase Flow and Heat Transfer, Istanbul, Turkey, 16–27 August.Google Scholar
  109. McQuillan, K.W. (1985) Flooding in annular two-phase flow. DPhil Thesis, University of Oxford.Google Scholar
  110. McQuillan, K.W., and Whalley, P.B. (1985a) A comparison between flooding correlations and experimental flooding data for gas-liquid flow in vertical circular tubes. Chemical Engineering Science 40: 1425–1440.CrossRefGoogle Scholar
  111. McQuillan, K.W., and Whalley, P.B. (1985b) Flow patterns in vertical two-phase flow. International Journal of Multiphase Flow 11: 161–176.CrossRefGoogle Scholar
  112. Miloshenko, V.I., Nigmatulin, B.I., Petukhov, V.V., and Tribunkin, N.I. (1989) Burnout and distribution of liquid in evaporative channels of various lengths. International Journal of Multiphase Flow 15: 393402.Google Scholar
  113. Mishima, K., and Ishii, M. (1984) Flow regime transition criteria for upward two-phase flow in vertical tubes. International Journal of Heat and Mass Transfer 27: 723–736.CrossRefGoogle Scholar
  114. Miyagi, O. (1925) On air bubbles rising in water. Philosophical Magazine 50: 112–140.MATHGoogle Scholar
  115. Mols, B., and Oliemans, R.V.A. (1998) A turbulent diffusion model for particle dispersion and deposition in horizontal tube flow International Journal of Multiphase Flow 24: 77–92.CrossRefGoogle Scholar
  116. Mukerjee, H., And Brill, J.P. (1985) Empirical equations to predict flow patterns in two-phase inclined flow. International Journal of Multiphase Flow 11:299–315.Google Scholar
  117. Nicholson, M.K., Aziz, K., and Gregory, G.A. (1978) Intermittent two-phase flow in horizontal pipes. Canadian Journal of Chemical Engineering 56: 653–663.CrossRefGoogle Scholar
  118. Nicklin, D.J., and Davidson, J.F. (1962) The onset of instability in two-phase slug flow. Institution of Mechanical Engineers Symposium on Two-Phase Flow, London.Google Scholar
  119. Nicklin, D.J., Wilkes, J.O., and Davidson, J.F. (1962) Two-phase flow in vertical tubes. Transaction of the Institution of Chemical Engineers 40: 61–68.Google Scholar
  120. Nishikawa, K., Sekoguchi, K., and Fukano, T. (1968) Characteristics of pressure pulsation in upward two-phase flow. International Symposium on Research in Co-current Gas-Liquid Flow, Univ. of Waterloo, paper A2Google Scholar
  121. Noghrehkar, G.R., Kawaji, M., and Chan, A.M.C. (1999) Investigation of two-phase flow regimes in tube bundles under cross-flow conditions. International Journal of Multiphase Flow 25: 857–874.MATHCrossRefGoogle Scholar
  122. Nusselt, W. (1915) Die oberflachenkondensation des wasserdampfes. VDI Zeitschrii t 60:541–546 and 569575.Google Scholar
  123. Ohnuki, A., and Akimoto, H. (2000) Experimental study on transition of flow pattern and phase distribution in upward air-water two-phase flow along a large vertical pipe. International Journal of Multiphase Flow 26: 367–386MATHCrossRefGoogle Scholar
  124. Oshinowo, T., and Charles, M.E. (1974) Vertical two-phase flow: Part I. Flow pattern correlations. Canadian Journal of Chemical Engineering 52: 25–35.CrossRefGoogle Scholar
  125. Osmasali, S.I., and Chang, J.S. (1988) Two-phase flow regime transition in a horizontal pipe and annular flow under gas-liquid two-phase flow ASME FED 72: 63–69Google Scholar
  126. Owen, D.G. (1986) An experimental and theoretical analysis of equilibrium annular flows. PhD Thesis, University of Birmingham.Google Scholar
  127. Palen, J.W., Breber, G., and Taborek, J. (1979) Prediction of flow regimes in horizontal tube-side condensation. Heat Transfer Engineering 1: 47–57.CrossRefGoogle Scholar
  128. Pearce, D.L. (1982) An experimental investigation of flow regimes in R12. European Two-phase Flow Group Meeting, Paris, 2–4 June, Paper A24.Google Scholar
  129. Peng, F., and Shoukri, M. (1997) Modelling the phase redistribution of horizontal annular flow divided in T-junctions. Canadian Journal of Chemical Engineering 75: 264–270.CrossRefGoogle Scholar
  130. Prasser, H.-M., Krepper, E., and Lucas, D. (2000) Fast wire mesh sensors for gas-liquid flows and decomposition of gas fraction profiles according to bubble size classes. 2nd Japanese-European Two-Phase Flow Group Meeting, Tsukuba, Japan, September 25–29.Google Scholar
  131. Pushkina, O.L., and Sorokin, Y.L. (1969) Breakdown of liquid film motion in vertical tubes. Heat Transfer Soviet Research 1:56–64.Google Scholar
  132. Radovcich, N.A., and Moissis, R. (1962) The transition from two–phase bubble flow to slug flow. MIT Report No. 7–7673–22.Google Scholar
  133. Reimann, J., John. G., and Seeger, W. (1981) Transition to slug and annular flow in horizontal air-water and steam-water flow. Report No. KfK3189.Google Scholar
  134. Roberts, P.A., Azzopardi, B.J., and Hibberd, S. (1997) The split of horizontal annular at a T-junction. Chemical Engineering Science 52: 3441–3453.CrossRefGoogle Scholar
  135. Ros, N.C.J. (1961) Simultaneous flow of gas and liquid as encountered in well tubing. Journal of Petroleum Technology 13: 1037–1049.CrossRefGoogle Scholar
  136. Sadatomi, M., Sato, Y., and Saruwatari, S. (1982) Two-phase flow in vertical non-circular channels International Journal of Multiphase Flow 8: 641–655.CrossRefGoogle Scholar
  137. Sakaguchi, T., Akagawa, K., Hamaguchi, H., Imoto, M., and Ishida, S. (1979) Flow regime maps for developing steady air-water two-phase flow in horizontal tubes. Memoirs of the Faculty of Engineering of Kobe University 25: 191–202.Google Scholar
  138. Sardesai, R.G., Owen, R.G., and Pulling, D.J. (1981) Flow regimes for condensation of a vapour in a horizontal tube. Chemical Engineering Science 36: 1173–1180.CrossRefGoogle Scholar
  139. Sawai, T., and Kaji, M. (2001) Flow structure and pressure gradient in churn flow. Experimental Heat Transfer, Fluid Mechanics and Thermodynamics 2001 (Ed. G.P. Celata, P. Di Marco, A. Goulas and A. Mariani) Editzioi ETS, Pisa, 2: 1791–1796.Google Scholar
  140. Sekoguchi, K., and Mori, K., (1998) New development of experimental study on interfacial structures in gas-liquid two-phase flow. Proeedings of the Conference on Experimental Heat Transfer, Fluid Mechanics and Thermodynamics:1177–1188.Google Scholar
  141. Serizawa, A., and Kataoka, I. (1988) in Transient Phenomena in Multi phase flow, Afghan, N.H. (ed), Hemisphere, New York, pp. 179–224.Google Scholar
  142. Sevik, M., and Park, S.H. (1973) The splitting of drops and bubbles by turbulent fluid flow. Journal of Fluids Engineering 95: 53–60.CrossRefGoogle Scholar
  143. Shah, M.M. (1976) A new correlation for heat transfer during flow boiling in pipes“.ASHRAE Transactions 82: 60–86.Google Scholar
  144. Shoham, O. (1982) Flow pattenr transitions and characterization in gas-liquid flow in inclined pipes. PhD Tesis, Tel-Aviv University, Israel.Google Scholar
  145. Simmons, M.J.H., and Hanratty, T.J. (2001) Transition from stratified to intermittent flows in small angle upflows. International Journal of Multiphase Flow 27: 599–616.MATHCrossRefGoogle Scholar
  146. Simon, M (1998) On the effects of inclination on non-adiabatic gas/liquid two-phase flow. 3`d Internationasl Conference on Multiphase Flow, Lyon, 8–12 June.Google Scholar
  147. Soliman, H M (1985) Flow pattern transitions during horizontal in tube condensation. In Encyclopedia of Fluid Mechanics (ed. N. Cheremisinoff ), Gulf Publishing Co, Houston.Google Scholar
  148. Song, C.H., No, H.C., and Chung, M.K (1995) Investigation of bubble flow developments and its transition based on the instability of void fraction waves. Int. J. Multiphase Flow 21: 381–404.MATHCrossRefGoogle Scholar
  149. Spedding, P.L., and Nguyen, V.T. (1980) Regime maps for air-water two-phase flow. Chemical Engineering Science 35: 779–793.CrossRefGoogle Scholar
  150. Spedding, P.L., and Hand, N.P. (1997) Prediction in stratified gas-liquid co-current flow in horizontal pipelines. International Journal of Heat and Mass Transfer 40: 1923–1935.CrossRefGoogle Scholar
  151. Sterling, V.C. (1985) Two-phase flow theory and engineering decision. Lecture Presented at AIChE Annual Meeting.Google Scholar
  152. Sun, K.H. (1979) Flooding correlations for BWR bundle upper tieplates and bottom side-entry orifices. in Veziroglu T.N. (ed) Proceedings of Multiphase Flow and Heat Transfer Symposium Workshop, Miami Beach, Florida:1615 —1635.Google Scholar
  153. Sutharshan, B., Kawaji, M., and Ousaka, A. (1995) Measurement of circumferential and axial film velocities in horizontal annular flow. International Journal of Multiphase Flow 21: 193–206.MATHCrossRefGoogle Scholar
  154. Sylvester, N.D. (1987) A mechanistic model for two-phase vertical slug flow in pipes. Journal of Energy Resources Technology 109: 206–213.CrossRefGoogle Scholar
  155. Taitel, Y., and Duker, A.E. (1976) A model for predicting flow regime transitions in horizontal and near-horizontal gas-liquid flow. American Institute of Chemical Engineers Journal 22: 47–55.CrossRefGoogle Scholar
  156. Taitel, Y., Barnea, D., and Dukler, A.E. (1980) Modelling flow pattern transitions for steady upward gasliquid flow in vertical tubes. American Institute of Chemical Engineers Journal 26: 345–354.CrossRefGoogle Scholar
  157. Tribbe, C., and Muller-Steinhagen, H.M. (2000) An evaluation of the performance of phenomenological models for predicting pressure gradient during gas-liquid flow in horizontal pielines. International Journal of Multiphase Flow 26: 1019–1036.MATHCrossRefGoogle Scholar
  158. Turner, R.G., Hubbard, M.G., and Dukler, A.E. (1969) Analysis and prediction of minimum flow rates for continuous removal of liquid from gas wells. Journal of Petroleum Tech. 21:1475-Google Scholar
  159. Ulbrich, R., and Mewes, D. (1994) Vertical, upward gas-liquid two-phase flow across a tube bundle. International Journal of Multiphase Flow 20: 249–272.MATHCrossRefGoogle Scholar
  160. Venkaseswararao, P., Semiat, R., and Dukler, A.E. (1982) Flow pattern transition for gas-liquid flow in a vertical rod bundle. International Journal of Multiphase Flow 8: 509–524.CrossRefGoogle Scholar
  161. Vermeulen, L.R., and Ryan, J.T. (1971) Two-phase slug flow in horizontal and inclined tubes. Canadian Journal of Chemical Engineering 49: 195–201.CrossRefGoogle Scholar
  162. Vijayan, M., Jayanti, S., and Balakrishnan, A.R. (2001) Effect of tube diameter on flooding. International Journal of Multiphase Flow 27: 797–816.MATHCrossRefGoogle Scholar
  163. Wallis, G.B. (1961) Flooding velocities for air and water in vertical tubes. UKAEA Report AEEW R123. Wallis, G.B. (1969) One-dimensional Two-phase Flow, McGraw-Hill.Google Scholar
  164. Wallis, G.B., and Dobson, J.E. (1973) The onset of slugging in horizontal stratified air-water flow. International Journal of Multiphase Flow 1:173–193.Google Scholar
  165. Watson, M. (1989) Wavy stratified and the transition to slug flow. 4th International Conference on Multiphase Flow, Nice, France, 19–21 June (BHRA pub.).Google Scholar
  166. Watson, M.J., and Hewitt, G.F. (1998) Effect of diameter on the flooding initiation mechanism. 3rd Interna- tional Conference on Multiphase Flow, Lyon, France, 8–12 June.Google Scholar
  167. Watson, M.J., and Hewitt, G.F. (1999) Pressure effects on the slug to churn transition. International Journal of Multiphase Flow 25:1225–1241.Google Scholar
  168. Weisman, J., Duncan, D., Gibson, J., and Crawford, T. (1979) Effects of fluid properties and pipe diameter on two-phase flow patterns in horizontal lines. Int. J. Multiphase Flow 5: 437–462.CrossRefGoogle Scholar
  169. Whalley, P.B., Hedley, B.D., and Davidson, J.F. (1972) Gas hold-up in bubble columns with liquid flow, VDI Berichte 182: 57–61.Google Scholar
  170. Whalley, P.B., Hutchinson, P., and Hewitt, G.F. (1974) The calculation of critical heat flux for forced convection boiling, 5th International Heat Transfer Conference Tokyo, paper B6. 11.Google Scholar
  171. Whalley, P.B., Azzopardi, B.J., Hewitt, G.F., and Owen, R.G. (1982) A physical model for two-phase flows with thermodynamic and hydrodynamic non-equilibrium. 7th International Heat Transfer Conference, Munich, Paper CS29.Google Scholar
  172. Willetts, I.P., Azzopardi, B.J. and Whalley, P.B. (1987), The effect of gas and liquid properties on annular two-phase flow, 3rd Int. Conf. on Multiphase Flow, The Hague, The Netherlands, 18–20 May (BHRA pub.).Google Scholar
  173. Williams, C.L., and Peterson, A.C. (1978) Two-phase flow patterns with high pressure water in a heated four-rod bundle. Nuclear Science and Engineering 68: 155–169.Google Scholar
  174. Wu, H.L., Pots, B.F.M., Heelenberg, J.F. and Meerhoff, R. (1987), “Flow pattern transitions in two-phase gas/condensate flow at high pressure in an 8-inch horizontal pipe”, 3rd International Conference on Multiphase Flow, The Hague, The Netherlands, 18–20 May (BHRA pub.).Google Scholar
  175. Xu, G.P., Tso, C.P., and Tou, K.W. (1998) Hydrodynamics of two-phase flow in vertical up-and downflow across a horizontal tube bundle. International Journal of Multiphase Flow 24: 1639–1648.CrossRefGoogle Scholar
  176. Zetzmann, K. (1984) Phase separation of air-water flow in a vertical T-junction. German Chemical Engineering 7: 305–312.Google Scholar
  177. Zabaras, G.J., and Dukler, A.E. (1988) Countercurrent gas-liquid annular flow including the flooding state. American Institute of Chemical Engineers Journal 34.•389–396.Google Scholar
  178. Zapte, A., and Kroger, D. G. (1996) The influence of fluid properties and inlet geometry on flooding in vertical and inclined tubes. Int. J. Multiphase Flow 22: 461–472.CrossRefGoogle Scholar
  179. Zapte, A., and Kroger, D. G. (2000) Countercurrent gas-liquid flow in inclined and vertical ducts — I: Flow patterns, pressure drop characteristics and flooding. Int. J. Multiphase Flow 26:1439–1455. Countercurrent gas-liquid flow in inclined and vertical ducts — II: The validity of the Froude-Ohnesorge number correlation for flooding. Int. J. Multiphase Flow 26: 1457–1468.CrossRefGoogle Scholar
  180. Zhang, J.-P., Grace, J.R., Epstein, N., and Lim, K.S. (1997) Flow regime identification in gas-liquid flow and three-phase fluidised beds. Chemical Engineering Science 52: 3979–3992.CrossRefGoogle Scholar
  181. Zuber, N., and Findlay, J.A. (1965) Average volumetric concentration in two-phase flow systems. Journal of Heat Transfer 87: 453–468.CrossRefGoogle Scholar
  182. Zuber, N., and Hench, J. (1962) Steady state and transient void fraction of bubbling systems and their operating limits, Part I: Steady state operation. General Electric Report 62GL100.Google Scholar

Copyright information

© Springer-Verlag Wien 2003

Authors and Affiliations

  • Barry Azzopardi
    • 1
  • John Hills
    • 1
  1. 1.Multiphase Flow Research Group, School of Chemical, Environmental and Mining EngineeringUniversity of NottinghamUK

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