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Pressure Loss across Tube Bundles in Two-phase Flow

2상 유동 내 관군에서의 압력 손실

  • 심우건 (한남대학교 기계공학과) ;
  • 닥단 (한남대학교 기계공학과)
  • Received : 2015.07.10
  • Accepted : 2016.01.13
  • Published : 2016.03.01

Abstract

An analytical model was developed by Sim to estimate the two-phase damping ratio for upward two-phase flow perpendicular to horizontal tube bundles. The parameters of two-phase flow, such as void fraction and pressure loss evaluated in the model, were calculated based on existing experimental formulations. However, it is necessary to implement a few improvements in the formulations for the case of tube bundles. For the purpose of the improved formulation, we need more information about the two-phase parameters, which can be found through experimental test. An experiment is performed with a typical normal square array of cylinders subjected to the two-phase flow of air-water in the tube bundles, to calculate the two-phase Euler number and the two-phase friction multiplier. The pitch-to-diameter ratio is 1.35 and the diameter of cylinder is 18mm. Pressure loss along the flow direction in the tube bundles is measured with a pressure transducer and data acquisition system to calculate the two-phase Euler number and the two-phase friction multiplier. The void fraction model by Feenstra et al. is used to estimate the void fraction of the two-phase flow in tube bundles. The experimental results of the two phase friction multiplier and two-phase Euler number for homogeneous and non-homogeneous two-phase flows are compared and evaluated against the analytical results given by Sim's model.

수평 관군에 대하여 수직이고 상향으로 흐르는 2상 유동에 의한 감쇠비를 예측하기 위한 해석모델이 Sim에 의하여 개발되었다. 이 모델에서 평가된 2상 유동의 기공률, 압력손실 등의 유동변수는 기존의 실험식을 사용하여 계산하였다. 그러나 관군의 경우에 사용하기에는 약간의 개선이 요구된다. 따라서 관군 내에 흐르는 2상 유동의 유동 변수에 대한 더 많은 정보를 획득하기 위하여 실험적으로 연구할 필요가 있다. 실험은 공기 - 물의 2상 유동이 흐르는 정사각형 배열 관군에서의 압력계수와 2상 유동 마찰승수를 계산하기 위하여 수행되었다. 피치 직경 비는 1.35이었고, 실린더의 직경은 18 mm이다. 압력센서와 신호처리 장치를 이용하여 관군에서의 압력차를 측정하였다. 2상 유동 마찰승수와 오일러수를 계산하기 위하여 관군에 적용되는 비균질 유동의 기공률은 Feenstra 등의 실험식을 사용하여 계산하였다. 균질과 비균질 2상 유동의 마찰승수와 오일러의 수를 실험적으로 구하고 Sim의 어림적 모델에 근거한 이론적 해석 결과와 비교 분석하였다.

Keywords

References

  1. Sim, W. G. and Mureithi, N. W., 2013, "Drag Coefficient and Two-phase Friction Multiplier on Tube Bundles Subjected to Two-phase Cross-flow," ASME Journal of Pressure Vessel Technology, Vol. 135, 011302-1-011302-10.
  2. Sim, W. G., 2013, "Pressure Distribution over Tube Surface of Tube Bundle Subjected in Two-phase Flow," Trans. Korean Soc. Mech. B, Vol. 37, pp. 9-18.
  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. 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
  6. 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
  7. 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
  8. 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
  9. 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
  10. 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
  11. Pettigrew, M.J. and Taylor, C.E., 2003, "Vibration Analysis of Shell-and-Tube Heat Exchangers; An Overview-Part 2: Vibration Response, Fretting-Wear, Guidelines," Journal of Fluids and Structure, Vol. 18, pp. 485-500. https://doi.org/10.1016/j.jfluidstructs.2003.08.008
  12. Sim, W.G., 2007, "An Approximate Damping Model for Two-Phase Cross-Flow in Horizontal Tube Bundles," 2007 ASME Pressure Vessel and Piping Division Conference, San Antonio, USA, PVP 2007-26176.
  13. 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
  14. 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
  15. 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
  16. Martinelli, R. C. and Nelson, D. B., 1948, "Prediction of Pressure Drop During Forced Circulation Boiling of Water," Transactions of ASME, Vol. 70, pp. 695-702.
  17. Sim, W.-G. and Mureithi N.W., 2014, "A Two-phase Damping Model on Tube Bundles Subjected to Two-phase Cross-flow," Journal of Mechanical Engineering and Technology, Vol. 28, No. 2, pp. 553-563.
  18. Sim, W.-G., 2015, "Approximate Model of Viscous and Squeeze-film Damping Ratios of Heat Exchanger Tubes Subjected to Two-phase Crossflow," Trans. Korean Soc. Mech. B, Vol. 39, No. 1, pp. 97-107. https://doi.org/10.3795/KSME-B.2015.39.1.097