Transactions of the Korean Society of Mechanical Engineers B (대한기계학회논문집B)

The Korean Society of Mechanical Engineers (대한기계학회)
권호 표지
DOI QR코드

DOI QR Code

Experimental Study about Two-phase Damping Ratio on a Tube Bundle Subjected to Homogeneous Two-phase Flow

균질 2상 유동에 놓인 관군에 작용하는 감쇠비에 대한 실험적 연구

  • Received : 2016.06.28
  • Accepted : 2016.10.07
  • Published : 2017.03.01
Download PDF
⟨ Previous Next ⟩

Abstract

Two-phase cross flow exists in many shell-and-tube heat exchangers such as condensers, evaporators, and nuclear steam generators. The drag force acting on a tube bundle subjected to air/water flow is evaluated experimentally. The cylinders subjected to two-phase flow are arranged in a normal square array. The ratio of pitch to diameter is 1.35, and the diameter of the cylinder is 18 mm. The drag force along the flow direction on the tube bundles is measured to calculate the drag coefficient and the two-phase damping ratio. The two-phase damping ratios, given by the analytical model for a homogeneous two-phase flow, are compared with experimental results. The correlation factor between the frictional pressure drop and the hydraulic drag coefficient is determined from the experimental results. The factor is used to calculate the drag force analytically. It is found that with an increase in the mass flux, the drag force, and the drag coefficients are close to the results given by the homogeneous model. The result shows that the damping ratio can be calculated using the homogeneous model for bubbly flow of sufficiently large mass flux.

2상 횡 유동은 응축기, 증발기와 원자력의 증기 발생기와 같은 열교환기의 튜브와 셀 사이에 존재한다. 공기/물의 2상 유동에 놓인 관군에 작용하는 항력을 실험적으로 평가하였다. 2상 유동에 놓인 관군은 정사각형 배열이다. 피치 직경 비는 1.35이었고, 실린더의 직경은 18 mm이다. 관군에 유동방향으로 작용하는 항력을 측정하여 항력계수와 2상 유동 감쇠비를 계산하였다. 2상 유동 감쇠비는 균질 2상 유동의 이론식을 사용하여 구하여 실험의 결과와 비교하였다. 압력과 항력의 상관계수를 실험결과를 고려하여 평가하였다. 상관계수는 이론적으로 항력을 계산할 때에 사용된다. 질량유량을 증가할수록 측정된 항력으로부터 구한 항력계수와 감쇠비가 균질 유동의 이론적 결과와 잘 일치함을 보이고 있다. 결과적으로 충분히 큰 질량 유량의 기포 유동인 경우에는 감쇠비를 균질 유동에 근거한 이론식으로 계산할 수 있다.

Keywords

References

  1. Pettigrew, M. J. and Taylor, C.E., 1991, "Fluidelastic Instability of Heat Exchanger Tube Bundles; Review and Design Recommendations," ASME Journal of Pressure Vessel Technology, Vol. 113, pp. 242-256. https://doi.org/10.1115/1.2928752
  2. Price, S.J., 1995, "A Review of Theoretical Models for Fluidelastic Instability of Cylinder Arrays in Cross-Flow," Journal of Fluids and Structure, Vol. 9, pp. 463-518. https://doi.org/10.1006/jfls.1995.1028
  3. Blevins, R.D., 1990, "Flow-Induced Vibration," Second Edition, Van Nosrtrand, New York
  4. Fritz, R.J., 1972, "The Effect of Liquids on the Dynamic Motions of Immersed Solids," ASME Journal of Engineering for Industry, Vol. 94, pp. 167-173. https://doi.org/10.1115/1.3428107
  5. Carlucci, L.N., 1980, "Damping and Hydrodynamic Mass of a Cylinder in Simulated Two- Phase Flow," Journal of Mechanical Design, Vol. 102, pp. 597-602. https://doi.org/10.1115/1.3254791
  6. Carlucci, L.N. and Brown, J.D., 1983, "Experimental Studies of Damping and Hydrodynamic Mass of a Cylinder in Confined Two- Phase Flow," Journal of Vibration, Acoustics, Stress, and Reliability in Design, Vol. 105, pp. 83-89. https://doi.org/10.1115/1.3269073
  7. Pettigrew, M.J., Taylor, C.E. and Kim, B.S., 1989a, "Vibration of Tube Bundles in Two Phase Cross Flow; Part 1 - Hydrodynamic Mass and Damping," ASME Journal of Pressure Vessel Technology, Vol. 111, pp. 466-477. https://doi.org/10.1115/1.3265705
  8. Pettigrew, M.J., Tromp, J.H., Taylor, C.E. and Kim, B.S., 1989b, "Vibration of Tube Bundles in Two Phase Cross Flow; Part 2 - Fluid-Elastic Instability," ASME Journal of Pressure Vessel Technology, Vol. 111, pp. 478-487. https://doi.org/10.1115/1.3265706
  9. Sim, W.-G. and Mureithi N.W., 2014, "A Twophase Damping Model on Tube Bundles Subjected to Two-phase Cross-flow," Journal of Mechanical Science Engineering and Technology, Vol. 28, No. 2, pp. 553-563. https://doi.org/10.1007/s12206-013-1122-7
  10. Feenstra, P.A., Weaver, D.S. and Judd, R.L., 2000, "An Improved Void Fraction Model for Two-Phase Cross-Flow in Horizontal Tube Bundles," International Journal of Multiphase Flow, Vol. 26, pp. 1851-1873. https://doi.org/10.1016/S0301-9322(99)00118-4
  11. Levy, S., 1960, "Steam Slip-Theoretical Prediction from Momentum Model," Trans. ASME, series C, J. Heat Transfer, Vol. 82, pp. 113-124. https://doi.org/10.1115/1.3679890
  12. Marchaterre, J.F., 1961, "Two-Phase Frictional Pressure Drop Prediction from Levy's Momentum Model," Trans. ASME, series C, J. Heat Transfer, Vol. 83, No. 4, pp. 503-505. https://doi.org/10.1115/1.3683677
  13. Martinelli, R. C. and Nelson, D. B., 1948, "Prediction of Pressure Drop During Forced Circulation Boiling of Water," Transactions of ASME, 70, pp. 695-702.
  14. Sim, W. G., 2013, "Pressure Distribution over Tube Surface of Tube Bundle Subjected in Two-phase Flow," Korean Soc. Mech. Eng. B, Vol. 37, No. 1, pp. 9-18.
  15. Sim, W. G. and Dagdan, B., 2015, "Pressure Loss across Tube Bundles in Two-phase Flow," Trans. Korean Soc. Mech. Eng. B, Vol. 40, No. 3, pp. 181-189. https://doi.org/10.3795/KSME-B.2016.40.3.181
  16. Zukauskas, A., Ulinskas, R., Katinas, V. and Karni, J., 1988, "Fluid Dynamics and Flowinduced Vibrations of Tube Bank," Hemisphere Publishing Corporation, New York, pp. 97-114.
  17. Pettigrew, M.J. and Taylor, C.E., 2003, "Vibration Analysis of Shell-and-tube Heat Exchangers; An Overview-Part 1: Flow, Damping, Fluidelastic Instability," Journal of Fluids and Structure, Vol. 18, pp. 469-483. https://doi.org/10.1016/j.jfluidstructs.2003.08.007
  18. Rogers, R.J. Taylor, C. and Pettigrew, M.J., 1984, "Fluid Effects on Multispan Heat Exchanger Tube Vibration," Proceeding of ASME Pressure Vessels and Piping Conference, San Antonio, USA, ASME Publication, In Topics in Fluid Structure Interaction, pp. 17-26.
  19. McAdams, W.H., Woods, W.K. and Herman, L.C., 1942 "Vaporization inside Horizontal Tubes-II-benzene-oil Mixtures," Transactions of ASME, Vol. 64, pp. 193-200.
  20. Sim, W.-G. and Mureithi, N.W., 2013, "Drag Coefficient and Two-phase Friction Multiplier on Tube Bundles Subjected To Two-Phase Crossflow," ASME Journal of Pressure Vessel Technology, Vol. 135, No. 1, 011302-1-10, Feb.