The Three-Dimensional Time and Volume Averaged Conservation Equations of Two-Phase Flow

  • R. T. LaheyJr.
  • D. A. Drew
Part of the Advances in Nuclear Science and Technology book series (ANST, volume 20)


The purpose of this paper is to present a concise derivation of the time and volume-averaged conservation equations of two-phase flow. These equations are in a form compatible with numerical evaluations using advanced generation, two fluid computer codes.


Control Volume Conservation Equation Jump Condition Interfacial Velocity Bubbly 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.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    Boure, J. A. and Delhaye, J. M., “Two-Phase Flow and Heat Transfer in the Power and Process Industries,” Chapter 1.2, Hemisphere Publishing Corporation, 1981.Google Scholar
  2. 2.
    Banerjee, S., “Analysis of Separated Flow Models,” EPRI NP-1442, July, 1980.Google Scholar
  3. 3.
    Ishii, M., “Thermo-Fluid Dynamic Theory of Two-Phase Flow,” Eyrolles, 1975.zbMATHGoogle Scholar
  4. 4.
    Truesdell, C. and Toupin, R., “Handbuch der Physik,” Vol. 3/1, Springer Verlag, 1960.zbMATHGoogle Scholar
  5. 5.
    Aris, R., “Vectors, Tensors and the Basic Equations of Fluid Mechanics,” Prentice Hall, 1962.zbMATHGoogle Scholar
  6. 6.
    Yadigaroglu, G. and Lahey, R. T., Jr., “On the Various Forms of the Conservation Equations in Two-Phase Flow,” Int. J. Multiphase Flow, Vol. 2, 1976.Google Scholar
  7. 7.
    Drew, D. A. and Lahey, R. T., Jr., “Application of General Constitutive Principles to the Derivation of Multidimensional Two-Phase Flow Equations,” Int. J. Multiphase Flow, 5, 1979.Google Scholar
  8. 8.
    Lahey, R. T., Jr. and Moody, F. J., “The Thermal-Hydraulics of a Boiling Water Nuclear Reactor,” ANS Monograph, 1979.Google Scholar
  9. 9.
    Drew, D., Cheng, L., and Lahey, R. T., Jr., “The Analysis of Virtual Mass Effects in Two-Phase Flow,” Int. J. Multiphase Flow, 5, 1979.Google Scholar
  10. 10.
    Drew, D. A., and Lahey, R. T., Jr., “Interfacial Dissipation in Two-Phase Flow,” ASME Symposium Volume — Basic Mechanisms in Two-Phase Flow and Heat Transfer, 1980.Google Scholar
  11. 11.
    Ishii, M. and Zuber, N., “Drag Coefficient and Relative Velocity in Bubbly, Droplet or Particulate Flows.” AIChE J. 25, 1979.Google Scholar
  12. 12.
    Hench, J. E. and Johnston, J. P., “Two-Dimensional Diffuser Performance with Subsonic, Two-Phase Air/Water Flow,” AEPD-5477, 1968.Google Scholar
  13. 13.
    Wallis, G. B., “One-Dimensional Two-Phase Flow,” McGraw Hill Book Co., 1969.Google Scholar
  14. 14.
    Ishii, M. and Mishima, K., “Two-Fluid Model and Hydro-dynamic Constitutive Relations,” J. Nuclear Engineering and Design, 82, 107–126, 1984.CrossRefGoogle Scholar
  15. 15.
    Garabedian, P. R., “Partial Differential Equations,” John Wiley and Sons, Inc., 1964.zbMATHGoogle Scholar
  16. 16.
    Saha, P., Shiralkar, B. S., Dix, G. E., “A Post-Dryout Heat Transfer Model Based on Actual Vapor Generation in the Dispersed Droplet Region,” ASME Preprint, 77-HT-80, 1977.Google Scholar
  17. 17.
    Katsma, K. R. et al., “RELAP/4 Mod-4, a Computer Program for the Transient Thermal-Hydraulic Analysis of Nuclear Reactor Systems,” ANCR-NUREG 1335, 1979.Google Scholar

Copyright information

© Plenum Press, New York 1988

Authors and Affiliations

  • R. T. LaheyJr.
    • 1
  • D. A. Drew
    • 1
  1. 1.Rensselaer Polytechnic InstituteTroyUSA

Personalised recommendations