Skip to main content
Log in

A two-phase damping model on tube bundles subjected to two-phase cross-flow

  • Published:
Journal of Mechanical Science and Technology Aims and scope Submit manuscript

Abstract

An analytical model is developed to estimate the two-phase damping ratio for upward cross-flow through horizontal tube bundles. The present model is formulated based on Feenstra’s model (2000) for void fraction and various models (homogeneous, Levy, Martinelli-Nelson and Marchaterre) for two-phase friction multiplier. The analytical results of drag coefficient on a cylinder and two-phase Euler number are compared with the experimental results by Sim-Mureithi (2013). The correlation factor between frictional pressure drop and the hydraulic drag coefficient is evaluated by considering the experimental results. The two-phase damping ratios given by the analytical model are compared with existing experimental results. The model based on Marchaterre’s model is suitable for air-water mixture, whereas the Martinelli-Nelson’s model is suitable for steam-water and Freon mixtures. The two-phase damping ratio is independent of pitch mass flux for air-water mixture, but is more or less influenced by the mass flux for steam-water/Freon (134) mixtures. The two-phase damping ratios given by the present model agree well with experimental results for a wide range of pitch mass ratio, quality, and p/d ratios.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. M. J. Pettigrew, C. E. Taylor and B. S. Kim, Vibration of tube bundles in two phase cross flow; Part 1 — hydrodynamic mass and damping, ASME Journal of Pressure Vessel Technology, 111 (1989) 466–477.

    Article  Google Scholar 

  2. M. J. Pettigrew, J. H. Tromp, C. E. Taylor and B. S. Kim, Vibration of tube bundles in two phase cross flow; Part 2 — fluid-elastic instability, ASME Journal of Pressure Vessel Technology, 111 (1989) 478–487.

    Article  Google Scholar 

  3. M. J. Pettigrew and C. E. Taylor, Damping of heat exchanger tubes in two-phase, Proceedings of fourth International Symposium on FSI, AE & FIV+N, ASME International Congress, Dallas, Texas, ASME Publication AD-Vol 53.2 (1997) 407–418.

    Google Scholar 

  4. V. P. Janzen, Y. Han, B. A. W. Smith and S. M. Fluit, Vibration damping of stabilized steam-generator tubes, 2005 ASME Pressure Vessel and Piping Conference, Denver, USA, PVP2005-71666 (2005).

    Google Scholar 

  5. L. N. Carlucci and J. D. Brown, Experimental studies of damping and hydrodynamic mass of a cylinder in confined two-phase flow, Journal of Vibration, Acoustics, Stress, and Reliability in Design, 105 (1983) 83–89.

    Article  Google Scholar 

  6. L. N. Carlucci, Damping and hydrodynamic mass of a cylinder in simulated two-phase flow, Journal of Mechanical Design, 102 (1980) 597–602.

    Article  Google Scholar 

  7. F. Hara and O. Kohgo, Numerical approach to added mass and damping of a vibrating circular cylinder in a two-phase bubble fluid, Proc. ICCM(Tokyo), 2 (1986) 255–260.

    Google Scholar 

  8. M. J. Pettigrew and G. D, Knowles, Some aspects of heatexchanger tube damping in two-phase mixture, Journal of Fluids and Structure, 11 (1992) 929–945.

    Article  Google Scholar 

  9. W. J. Heilker and R. Q. Vincent, Vibration in nuclear heat exchanger due to liquid and two-phase flow, ASME Journal of Engineering for Power, 103 (1981) 358–365.

    Article  Google Scholar 

  10. F. Axisa, M. A. Boheas and B. Villard, Vibration of tube bundles subjected to steam-water cross flow: A comparative study of square and triangular arrays, 8th International Conference on Structural Mechanics in Reactor Technology, Brussels, Paper No. B1/2 (1985).

    Google Scholar 

  11. T. Nakamura, N. Yamaguchi, K. Fujita, K. Sakata and I. Saito, Study of flow-induced vibration of a tube array by two-phase flow (1st Report: large amplitude vibration by airwater flow), Trans. of Japanese Society of Mechanical Engineers, 52 (1986) 473 C.

    Google Scholar 

  12. T. Nakamura, N. Yamaguchi, K. Fujita, K. Sakata and I. Saito, A study of flow-induced vibration of a tube array by two-phase flow (2nd Report: large amplitude vibration by steam-water flow), Trans. of Japanese Society of Mechanical Engineers, 52 (1986) 473 C.

    Google Scholar 

  13. P. A. Feenstra, D. S. Weaver and R. L. Judd, An improved void fraction model for two-phase cross-flow in horizontal tube bundles, International Journal of Multiphase Flow, 26 (2000) 1851–1873.

    Article  MATH  Google Scholar 

  14. W. G. Sim, An approximate damping model for two-phase cross-flow in horizontal tube bundles, 2007 ASME Pressure Vessel and Piping Division Conference, San Antonio, USA, PVP2007-26176 (2007).

    Google Scholar 

  15. S. Levy, Steam slip-theoretical prediction from momentum model, Trans. ASME, series C, J. Heat Transfer, 82 (1960) 113–124.

    Article  Google Scholar 

  16. J. F. Marchaterre, Two-phase frictional pressure drop prediction from levy’s momentum model, Trans. ASME, series C, J. Heat Transfer, 83(4) (1961) 503–505.

    Article  Google Scholar 

  17. A. Zukauskas, R. Ulinskas, V. Katinas and J. Karni, Fluid dynamics and flow-induced vibrations of tube bank, Hemisphere Publishing Corporation, New York (1988) 97–114.

    Google Scholar 

  18. W. G. Sim and N. W. Mureithi, Drag coefficient and twophase friction multiplier on tube bundles subjected to twophase cross-flow, ASME Journal of Pressure Vessel Technology, 135 (2013) 011302-1–011302-10.

    Google Scholar 

  19. R. C. Martinelli and D. B. Nelson, Prediction of pressure drop during forced circulation boiling of water, Transactions of ASME, 70 (1948) 695–702.

    Google Scholar 

  20. R. W. Lockhart and R. C. Martinelli, Proposed correlation of data for isothermal two-phase two-component flow in pipes, Chem. Eng. Prog., 45 (1949) 39–48.

    Google Scholar 

  21. A. Gidi, D. S. Weaver and R. L. Judd, Two-phase flow induced vibration of tube bundles with tube surface boiling, ASME Fluid-structure Interaction, Aeroelasticity, Flowinduced Vibration and Noise, AD-Vol. 53(2) (1997) 381–389.

    Google Scholar 

  22. D. S. Schrage, J. T. Hsu and M. K. Jensen, Two-phase pressure drop in vertical cross flow across a horizontal tube bundle, AIChE J, 34 (1988) 107–115.

    Article  Google Scholar 

  23. W. G. Sim, N. W. Mureithi and M. J. Pettigrew, Parametric study of two-phase flow by integral analysis based on power law distribution,” Journal of Mechanical Science and Technology, 24(7) (2010) 1379–1387.

    Article  Google Scholar 

  24. W. G. Sim, B. M. Bae and N. W. Mureithi, An experimental study on characteristics of two-phase flows in vertical pipe, Journal of Mechanical Science and Technology, 24(10) (2010) 1981–1988.

    Article  Google Scholar 

  25. M. J. Pettigrew and C. E. Taylor, Vibration analysis of shell-and-tube heat exchangers; An overview-part 2: Vibration response, fretting-wear, Guidelines, Journal of Fluids and Structure, 18 (2003) 485–500.

    Article  Google Scholar 

  26. R. J. Rogers, C. Taylor and M. J. Pettigrew, Fluid effects on multispan heat exchanger tube vibration, Proceeding of ASME Pressure Vessels and Piping Conference, San Antonio, USA, ASME Publication, Topics in Fluid Structure Interaction, Hoo316 (1984) 17–26.

    Google Scholar 

  27. W. H. McAdams, W. K. Woods and L. C. Herman, Vaporization inside horizontal tubes-II-benzene-oil mixtures, Transactions of ASME, 64 (1942) 193–200.

    Google Scholar 

  28. M. J. Pettigrew, C. E. Taylor, V. P. Janzen and T. Whan, Vibration behavior of rotated triangular tube bundles in twophase cross flow, ASME Journal of Pressure Vessel Technology, 124 (2002) 144–153.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Woo Gun Sim.

Additional information

Recommended by Associate Editor Gihun Son

Woo-Gun Sim received his B.S. degree in Mechanical Engineering from Inha University, Korea, in 1982. He then received his M.S. and Ph.D. degrees from McGiLL University, Canada, in 1987 and 1992, respectively. Dr. Sim is currently a Professor at the School of Mechanical Engineering at Hannam University in Taejeon, Korea. Dr. Sim’s research interests include flow-induced vibra-tion, two-phase flow and fluid dynamics.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Sim, W.G., Mureithi, N.W. A two-phase damping model on tube bundles subjected to two-phase cross-flow. J Mech Sci Technol 28, 553–563 (2014). https://doi.org/10.1007/s12206-013-1122-7

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12206-013-1122-7

Keywords

Navigation