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http://dx.doi.org/10.3795/KSME-B.2013.37.1.009

Pressure Distribution over Tube Surfaces of Tube Bundle Subjected to Two-Phase Cross-Flow  

Sim, Woo Gun (Dept. of Mechanical Engineering, Hannam Univ.)
Publication Information
Transactions of the Korean Society of Mechanical Engineers B / v.37, no.1, 2013 , pp. 9-18 More about this Journal
Abstract
Two-phase vapor-liquid flows exist in many shell and tube heat exchangers such as condensers, evaporators, and nuclear steam generators. To understand the fluid dynamic forces acting on a structure subjected to a two-phase flow, it is essential to obtain detailed information about the characteristics of a two-phase flow. The characteristics of a two-phase flow and the flow parameters were introduced, and then, an experiment was performed to evaluate the pressure loss in the tube bundles and the fluid-dynamic force acting on the cylinder owing to the pressure distribution. A two-phase flow was pre-mixed at the entrance of the test section, and the experiments were undertaken using a normal triangular array of cylinders subjected to a two-phase cross-flow. The pressure loss along the flow direction in the tube bundles was measured to calculate the two-phase friction multiplier, and the multiplier was compared with the analytical value. Furthermore, the circular distributions of the pressure on the cylinders were measured. Based on the distribution and the fundamental theory of two-phase flow, the effects of the void fraction and mass flux per unit area on the pressure coefficient and the drag coefficient were evaluated. The drag coefficient was calculated by integrating the measured pressure on the tube by a numerical method. It was found that for low mass fluxes, the measured two-phase friction multipliers agree well with the analytical results, and good agreement for the effect of the void fraction on the drag coefficients, as calculated by the measured pressure distributions, is shown qualitatively, as compared to the existing experimental results.
Keywords
Two-Phase Cross Flow; Two-Phase Friction Multiplier; Pressure Coefficient; Void Fraction; Volumetric Quality;
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  • Reference
1 Blevins, R.D., 1990, "Flow-Induced Vibration," Second Edition, Van Nosrtrand, New York
2 Fritz, R.J., 1972, "The Effect of Liquids on the Dynamic Motions of Immersed Solids," ASME Journal of Engineering for Industry, 94, pp.167-173.   DOI
3 Pettigrew, M. J., 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.   DOI
4 Price, S.J., 1995, "A Review of Theoretical Models for Fluidelastic Instability of Cylinder Arrays in Cross- Flow," Journal of Fluids and Structure, 9, pp. 463-518.   DOI   ScienceOn
5 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, PVP2007- 26176.
6 Sim, W. G. and Mureithi, Njuki, W., 2010, "Drag Coefficient and Two-Phase Friction Multiplier On Tube Bundles Subjected to Two-Phase Cross-Flow," ASME 2010 Pressure Vessels & Piping Division / KPVP Conference, Bellevue, Washington, USA, PVP2010-25073.
7 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.
8 Levy, S., 1960, "Steam Slip-Theoretical Prediction from Momentum Model," Trans. ASME, series C, J. Heat Transfer, 82, pp. 113-124.   DOI
9 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, 105, pp.83-89.   DOI   ScienceOn
10 Carlucci, L.N., 1980, "Damping and Hydrodynamic Mass of a Cylinder in Simulated Two-Phase Flow," Journal of Mechanical Design, 102, pp597-602.   DOI
11 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, 111, pp. 466-477.   DOI
12 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, 111, pp. 478-487.   DOI
13 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, 18, pp. 485-500.   DOI   ScienceOn
14 Jones, Owen C. Jr., and Zuber, N., 1975, "The Interrelation Between Void Fraction Fluctuations and Flow Patterns in Two-Phase Flow," International Journal of Multiphase Flow, 2, pp. 273-306.   DOI   ScienceOn
15 Legius, H.J.W.M., van den Akker, H.E.A. and Narumo, T., 1997, "Measurements on Wave Propagation and Bubble and Slug Velocities in Cocurrent Upward Two-Phase Flow," Experimental Thermal and Fluid Science, 15, pp. 267-278.   DOI   ScienceOn
16 Schrage, D.S., Hsu, J.T. and Jensen, M.K., 1988, "Two-Phase Pressure Drop in Vertical Cross Flow Across a Horizontal Tube Bundle," AIChE J, 34, pp.107-115.   DOI   ScienceOn
17 Zuber, N. and Findlay, J., 1965, "Average Volumetric Concentration in Two-Phase Flow System," Trans. ASME Journal of Heat Transfer, 87, pp. 453-468 .   DOI
18 Wallis, G.B., 1969, One-Dimensional Two-Phase Flow, McGraw-Hill.
19 Ishii, M., Chawla, T.C. and Zuber, N., 1976, "Constitutive Equation for Vapor Drift Velocity in Two-Phase Annular Flow," AIChE, 22(2), pp.283-289,   DOI
20 Zuber, N., Staub, F.W., Bijwaard, G. and Kroeger, P.G., 1967, "Steady State and Transient Void Fraction in Two-Phase Flow System," GEAP 5471.
21 Lockhart, R.W. and Martinelli, R.C., 1949, "Proposed Correlation of Data for Isothermal Two- Phase, Two-Component Flow in Pipes," Chemical Engineering Progress, 45, pp. 39-48.
22 Baroczy, C.J., 1963, "Correlation of Liquid Fraction in Two-Phase with Application to Liquid Metals," NAA-SR-8171.
23 Turner, J.R.S. and Wallis, G.B., 1965, The Separated-Cylinders Model of Two-Phase Flow, NYO- 3114-6, Thayer's School Eng., Dartmouth College.
24 Butterworth, D., 1975, "A Comparison of Some Void-Fraction Relationships for Co-Current Gas- Liquid Flow," International Journal of Multiphase Flow, 1, pp. 845-850.   DOI   ScienceOn
25 Pettigrew, M. J., and Taylor, C.E., 1994, "Two-Phase Flow-Induced Vibration: an Review," ASME Journal of Pressure Vessel Technology, 116(3), pp. 233-253.   DOI   ScienceOn
26 Cheng, H., Hills, J.H. and Azzorpardi, B.J., 2002, "Effects of Initial Bubble Size on Flow Pattern Transition in a 28.9 mm Diameter Column," International Journal of Multiphase Flow, 28, pp. 1047-1062.   DOI   ScienceOn
27 Fenstra, 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, 26, pp. 1851-1873.   DOI   ScienceOn