EFFECT OF VIRTUAL MASS FORCE ON PREDICTION OF PRESSURE CHANGES IN CONDENSING TUBES

Abstract

Three-fluid model is used to calculate the pressure drops in a vertical pipe with the annular flow pattern for condensing steam. The three-fluid models are based on the mass, momentum, and energy balance equations for each of the fluid streams in the annular flow. There are discrepancies between predictions of three-fluid model for pressure drops and the experimental data for pressure drops when using the available correlations for steam-film interfacial friction. The correlation by Stevanovic et al. provides good match with experimental data, but it does not take into account some important factors affecting the pressure drops in its three-fluid model. One of these significant factors which is considered in the three fluid model used in the present paper is virtual mass (added mass) force term. Inclusion of the virtual mass force improves the pressure drop predictions such that they agree much better with the experiments.

Keywords

Dates

  • Submission Date2010-10-06
  • Revision Date2012-04-14
  • Acceptance Date2012-05-05

DOI Reference

10.2298/TSCI1202613S

References

  1. Stevanovic, V. D., et al., Three-Fluid Model Predictions of Pressure Changes in Condensing Vertical Tubes, Int. J. of Heat and Mass Transfer, 51 (2008), 15-16, pp. 3736-3744
  2. Jayanti 1. S., Valette, M., Prediction of Dryout and Post-Dryout Heat Transfer at High Pressures Using a One-Dimensional Three-Fluid Model, Int. J. of Heat and Mass Transfer, 47 (2004), 22, pp. 4895-4910
  3. Sugawara, S., Miyamoto, Y., FIDAS: Detailed Sub-Channel Analysis Code on the Three-Fluid and Three-Field Model, Nuclear Engineering and Design, 120 (1990), 2-3, pp. 147-161
  4. White, F. M., Viscous Fluid Flow, McGraw-Hill, New York, USA, 1991
  5. Clift, R., Grace, J. R., Weber, M. E., Bubbles, Drops and Particles, Academic Press, New York, USA, 1978
  6. Sugawara, S., Droplet Deposition and Entrainment Modeling Based on the Three-Fluid Model, Nuclear Engineering and Design, 122 (1990), 1-3, pp. 67-84
  7. Wallis, G. B., One-Dimensional Two-Phase Flow, McGraw-Hill, New York, USA, 1969
  8. Levitan, L. L., Dry-Out in Annular-Dispersed Flow, Advances in Thermal-Hydraulics of Two-Phase Flows in Energy Plants (in Russian), Nauka, Moscow, 1987
  9. Alipchenkov, et al., Three-Fluid Model of Two-Phase Dispersed-Annular Flow, Int. J. of Heat and Mass Transfer, 47 (2004), 24, pp. 5323-5338
  10. Downar-Zapolski, Z., et al., The Non-Equilibrium Relaxation Model for One-Dimensional Flashing Liquid Flow, Int. J. of Multiphase Flow, 22 (1996), 3, pp. 473-483
  11. Hazuku, T., et al., Interfacial Area Concentration in Annular Two-Phase Flow, Int. J. of Heat and Mass Transfer, 50 (2007), 15-16, pp. 2986-2995
  12. Ghiaasiaan, S. M., Two-Phase Flow, Boiling and Condensation in Conventional and Miniature Systems, 1st ed., Cambridge University Press, Cambridge, UK, 2008
  13. Watanabe, T., et al., The Effect of Virtual Mass Force Term on the Numerical Stability and Efficiency of System Calculations, Nucl. Eng. Design, 120 (1990), 2-3, pp. 181-192
  14. Drew, D. A., Cheng, L. Y., Lahey, R. T., The Analysis of Virtual Mass Effect in Two-Phase Flow, Int. J. Multiphase Flow, 5 (1979), 4, pp. 233-242
  15. Ishii, M., Mishima, K., Two-Fluid Model and Hydrodynamic Constitutive Relations, Nucl. Eng. Design, 82 (1984), pp. 2-3, pp. 107-126
  16. Kreydin, B. L., Kreydin, I. L., Lokshin, V. A., Experimental Research of the Total Pressure Drop in the Condensing Steam Downward Flow Inside a Vertical Tube (in Russian), Thermal Engineering, 32 (1985), 7, pp. 42-43
  17. Kim, S. J., No, H. C., Turbulent Film Condensation
Volume 16, Issue 2, Pages613 -662