Dynamic Simulations of Pressure-Drop Type Instabilities in a Two-Phase Upflow Boiling System Including the Effect of Thermal Non-Equilibrium

  • Liping Cao
  • Sadik Kakaç
  • Hongtan Liu
Part of the Heat and Mass Transfer book series (HMT)


Two-phase flow pressure-drop type instabilities in a two-phase upflow boiling system has been studied theoretically. The drift-flux model is adopted in predicting the steady state characteristics of the boiling system, using the finite difference method. The dynamic simulation of the quasi-static pressure-drop type instability in the boiling system is presented. The thermal non-equilibrium effect between the two phases is included by assuming the temperature profile in the subcooled boiling region. By comparing the equilibrium theory, non-equilibrium theory and experiments, it is concluded that the models including the nonequilibrium effects fit better the experimental results of the steady state characteristics of the system, as well as the system stability boundary and oscillations characteristics (amplitude and period).


Mass Flow Rate Surge Tank Nonequilibrium Model Steady State Characteristic Boiling System 
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  1. Ahmad SY (1970) Axial distribution of bulk temperature and void fraction in a heated channel with inlet subcooling. J. Heat Transfer, 92C, p 595Google Scholar
  2. Bergles AE (1977) Review of instabilities in two-phase systems. In: Kakaç, S Mayinger, F and Veziroglu, N (eds) Two-Phase Flow and Heat Transfer. Hemisphere, Washington D.CGoogle Scholar
  3. Bijwaard G, Staub Fw and Zuber N (1965) A program of two-phase flow investigation. Eleventh Quarterly Report, October–December, General Electric Co., San Jose, Calif., Report No.GEAP 5067, Euratom Report No. EURAEC 1575Google Scholar
  4. Boure JA, Bergles AE and Tong LS (1973) Review of two-phase instabilities. Nuclear Engineering and Design, Vol 25, p 165CrossRefGoogle Scholar
  5. Dogan T, Kakac S and Veziroglu TN (1983) Analysis of forced boiling flow instabilities in a single-channel upflow system. Int J Heat and fluid flow, Vol 4, pp 145–156CrossRefGoogle Scholar
  6. Ishii M and Zuber N (1970) Thermally induced flow instabilities in two-phase mixtures. Paper No. B5.ll. In: Proceedings of the 4th International Heat Transfer Conference, Paris Elsevier, AmsterdamGoogle Scholar
  7. Ishii M (1971) Thermally induced flow instabilities in two-phase mixtures in thermal equilibrium. Ph.D. Thesis, Georgia Institute of TechnologyGoogle Scholar
  8. Kakaç S and Liu H (1991) Two-phase flow dynamic instabilities in boiling systems. In: Multi phase Flow and Heat Transfer (editors Chen X J, Veziroglu T N and Tien C L), Vol 1, pp. 403–444Google Scholar
  9. Kroeger PG and Zuber N (1968) An analysis of the effects of various parameters on the average void fractions in subcooled boiling. International J Heat Mass Transfer, Vol 11, pp. 211–232CrossRefGoogle Scholar
  10. Maulbetsch JS and Griffith P (1966) System-induced instabilities in forced convection flow with subcooled boiling. In: 3rd International Heat Transfer Conference, Chicago, IL. Vol 4, p247Google Scholar
  11. Lahey Jr RT and Drew DA (1980) An assessment of the Literature related to LWR instability modes.NUREG/CR-1414Google Scholar
  12. Liu HT (1989) Parametric study of two-phase flow instabilities in a force-convective boiling upflow system. M.S. Thesis, University of MiamiGoogle Scholar
  13. Liu HT (1993) Pressure drop type and thermal oscillations in convective boiling systems. Ph.D. Thesis, University of MiamiGoogle Scholar
  14. Padki MM, Liu HT and Kakac S (1991) Two-phase flow pressure-drop type and thermal oscillations. Int J Heat and Fluid Flow. Vol 12, pp 240–248CrossRefGoogle Scholar
  15. Saha P and Zuber N (1974) Point of net vapor generation and vapor void fraction in subcooled boiling. In: proceedings of the 5th international heat transfer conference. Vol IV, pp 175–179Google Scholar
  16. Saha P and Zuber N (1978) An analytical study of the thermally induced two-phase flow instabilities including the effect of thermal non-equilibrium. International J Heat Mass Transfer. Vol 21, pp 415–426zbMATHCrossRefGoogle Scholar
  17. Stenning AH (1964) Instabilities in the flow of a boiling liquid, Journal of Basic Engineering. Trans. ASME, Series D, Vol 86, p 213CrossRefGoogle Scholar
  18. Stenning AH and Veziroglu TN (1965) Flow oscillation Modes in forced convection boiling. In: Proc. Heat Transfer and Fluid Mechanic Institute, Stanford University Press, p 301Google Scholar
  19. Veziroglu TN and Kakaç S (1983) Two-phase flow instabilities. Final Report, NSF Project CME 79-20018, Clean Energy Research Institute, University of MiamiGoogle Scholar
  20. Yadigaroglu G (1981) Two-phase flow instabilities and propagation phenomena. In: Dehaye, Giot and Riethmuller, Thermohydraulics of Two-Phase Flow Systems for Industrial Design and Nuclear Engineering, HemisphereGoogle Scholar
  21. Zuber N and Findlay J ( 1965) Average volumetric concentration in two-phase flow system. J Heat Transfer 87C, pp 453Google Scholar
  22. Zuber N, Staub FW and Bijwaard G (1966) Vapor void fraction in subcooled boiling and saturated boiling systems. In: Proceedings of the 3rd International Heat Transfer Conference, Vol 5, p 24, AIChE, New YorkGoogle Scholar
  23. Zuber N and Dougherty DE (1967) Liquid metals challenge to the traditional methods of two-phase flow investigations, Symposium on Two-Phase Flow Dynamics. Eindhoven, Vol 1, p 1091, EURATOM, BrusselsGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1999

Authors and Affiliations

  • Liping Cao
    • 1
  • Sadik Kakaç
    • 1
  • Hongtan Liu
    • 1
  1. 1.Department of Mechanical EngineeringUniversity of MiamiCoral GablesUSA

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