Unified Model for Gas-Liquid Pipe Flow via Slug Dynamics—Part 1: Model Development

[+] Author and Article Information
Hong-Quan Zhang, Qian Wang, Cem Sarica, James P. Brill

TUFFP, The University of Tulsa, 600 S. College Ave., Tulsa, OK 74104

J. Energy Resour. Technol 125(4), 266-273 (Nov 18, 2003) (8 pages) doi:10.1115/1.1615246 History: Received July 01, 2002; Revised April 01, 2003; Online November 18, 2003
Copyright © 2003 by ASME
Your Session has timed out. Please sign back in to continue.


Dukler,  A. E., Wickes,  M., and Cleveland,  R. G., 1964, “Frictional Pressure Drop in Two-Phase Flow: B. An Approach Through Similarity Analysis,” AIChE J., 10(1), pp. 44–51.
Beggs,  H. D., and Brill,  J. P., 1973, “A Study of Two-Phase Flow in Inclined Pipes,” Trans. AIME, 255, p. 607.
Hagedorn,  A. R., and Brown,  K. E., 1965, “Experimental Study of Pressure Gradient Occurring During Continuous Two-Phase Flow in Small Diameter Vertical Conduits,” J. Pet. Technol., 17, pp. 475–484.
Duns, H., Jr., and Ros, N. C. J., 1963, “Vertical Flow of Gas and Liquid Mixtures in Wells,” Proceedings of the 6th World Petroleum Congress, p. 451.
Barnea,  D., 1987, “A Unified Model for Predicting Flow-Pattern Transitions for the Whole Range of Pipe Inclinations,” Int. J. Multiphase Flow, 13, pp. 1–12.
Xiao, J.-J., 1990, “A Comprehensive Mechanistic Model for Two-Phase Flow in Pipelines,” M.S. Thesis, U. of Tulsa, Tulsa, OK.
Kaya, A. S., 1998, “Comprehensive Mechanistic Modeling of Two-Phase Flow in Deviated Wells,” M.S. Thesis, U. of Tulsa, Tulsa, OK.
Gomez,  L. E., Shoham,  O., Schmidt,  Z., and Chokshi,  R. N., 1999, “A Unified Mechanistic Model for Steady-State Two-Phase Flow in Wells and Pipelines,” SPE J., 56520, p. 307.
Zhang,  H.-Q., Jayawardena,  S. S., Redus,  C. L., and Brill,  J. P., 2000, “Slug Dynamics in Gas-Liquid Pipe Flow,” ASME J. Energy Resour. Technol., 122, pp. 14–21.
Harmathy,  T. Z., 1960, “Velocity of Large Drops and Bubbles in Media of Infinite or Restricted Extent,” AIChE J., 6, p. 281.
Zhang,  H.-Q., Wang,  Q., and Brill,  J. P., 2003, “A Unified Mechanistic Model for Slug Liquid Holdup and Transition Between Slug and Dispersed Bubble Flows,” Int. J. Multiphase Flow, 29, pp. 97–107.
Barnea,  D., and Brauner,  N., 1985, “Hold-Up of the Liquid Slug in Two Phase Intermittent Flow,” Int. J. Multiphase Flow, 11, pp. 43–49.
Hinze,  J. O., 1955, “Fundamentals of the Hydrodynamic Mechanism of Splitting in Dispersion Processes,” AIChE J., 1, p. 289.
Taitel,  Y., Barnea,  D., and Dukler,  A. E., 1980, “Modeling Flow Pattern Transitions for Steady Upward Gas-Liquid Flow in Vertical Tubes,” AIChE J., 26, pp. 345–354.
Grolman, E., 1994, “Gas-Liquid Flow With Low Liquid Loading in Slightly Inclined Pipes,” Ph.D. Dissertation, U. of Amsterdam, The Netherlands, ISBN 90-9007470-8.
Andritsos,  N., and Hanratty,  T. J., 1987, “Influence of Interfacial Waves in Stratified Gas-Liquid Flows,” AIChE J., 33(3), pp. 444–454.
Asali, J. C., 1984, “Entrainment in Vertical Gas-Liquid Annular Flow,” Ph.D. Dissertation, Dept of Chem Engng, U. of Illinois, Urbana.
Willetts, I. P., 1987, “Non-Aqueous Annular Two-Phase Flow,” Ph.D. Dissertation, U. of Oxford, U.K.
Ambrosini,  W., Andreussi,  P., and Azzopardi,  B. J., 1991, “A Physically Based Correlation for Drop Size in Annular Flow,” Int. J. Multiphase Flow, 17(4), pp. 497–507.
Chen,  X. T., Cai,  X. D., and Brill,  J. P., 1997, “Gas-Liquid Stratified-Wavy Flow in Horizontal Pipelines,” ASME J. Energy Resour. Technol., 119, pp. 209–216.
Oliemans,  R. V., Pots,  B. F. M., and Trompe,  N., 1986, “Modeling of Annular Dispersed Two-Phase Flow in Vertical Pipes,” Int. J. Multiphase Flow, 12(5), pp. 711–732.
Whalley, P. B., and Hewitt, G. F., 1978, “The Correlation of Liquid Entrainment Fraction and Entrainment Rate in Annular Two-Phase Flow,” Report AERE-R 9187, UKAEA, Harwell, Oxon.
Roumazeilles, P., 1994, “An Experimental Study of Downward Slug Flow in Inclined Pipes,” M.S. Thesis, U. of Tulsa, Tulsa, OK.
Yang, J.-D., 1996, “A Study of Intermittent Flow in Downward Inclined Pipes,” Ph.D. Dissertation, U. of Tulsa, Tulsa, OK.
Gregory,  G. A., Nicholson,  M. K., and Aziz,  K., 1978, “Correlation of the Liquid Volume Fraction in the Slug for Horizontal Gas-Liquid Slug Flow,” Int. J. Multiphase Flow, 4, pp. 33–39.
Nicklin,  D. J., 1962, “Two-Phase Bubble Flow,” Chem. Eng. Sci., 17, pp. 693–702.
Fabre, J., 1994, “Advancements in Two-Phase Slug Flow Modeling,” SPE 27961, U. of Tulsa Centennial Petroleum Engineering Symposium, August 29–31.
Bendiksen,  K. H., 1984, “An Experimental Investigation of The Motion of Long Bubbles in Inclined Tubes,” Int. J. Multiphase Flow, 10, pp. 467–483.
Zhang, H.-Q., Wang, Q., Sarica, C., and Brill, J. P., 2003, “Unified Model for Gas-Liquid Pipe Flow Via Slug Dynamics—Part 2: Model Validation,” Submitted to ASME J. Energy Resour. Technol.


Grahic Jump Location
Control Volume (entire film zone, lF) Used in Modeling
Grahic Jump Location
Cross Section of a Stratified Flow with Curved Interface
Grahic Jump Location
Overall Flow Chart for the Unified Model
Grahic Jump Location
Flow Chart for Stratified or Annular Flow Calculation
Grahic Jump Location
Flow Chart for Slug Flow Calculation




Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In