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Research Papers: Fluid-Structure Interaction

Operational Modal Analysis of a Triangular-Pitch Tube Bundle Subjected to Two-Phase Cross-Flow

[+] Author and Article Information
Enrico Deri

Electricité de France,
R&D Division,
Fluid Mechanics, Energy and
Environment Department (MFEE),
6, quai Watier,
Chatou 78401, France

Contributed by the Pressure Vessel and Piping Division of ASME for publication in the JOURNAL OF PRESSURE VESSEL TECHNOLOGY. Manuscript received August 30, 2017; final manuscript received December 8, 2017; published online April 2, 2018. Assoc. Editor: Tomomichi Nakamura.

J. Pressure Vessel Technol 140(3), 031301 (Apr 02, 2018) (8 pages) Paper No: PVT-17-1167; doi: 10.1115/1.4038725 History: Received August 30, 2017; Revised December 08, 2017

Flow-induced vibrations of tubes in two-phase heat exchangers are a concern for the nuclear industry. Electricité de France (EDF) has developed a numerical tool, which allows one to evaluate safety margins and thereafter to optimize the exchanger maintenance policy. The software is based on a semi-analytical model of fluid-dynamic forces and dimensionless fluid force coefficients which need to be evaluated by experiment. A test rig was operated with the aim of assessing parallel triangular tube arrangement submitted to a two-phase vertical cross-flow: a kernel of nine flexible tubes is set in the middle of a rigid bundle. These tubes vibrate as solid bodies (in translation) both in the lift and drag directions in order to represent the so-called in-plane and out-of-plane vibrations. This paper outlines the experimental results and some detailed physical analysis of some selected points of the experiment series: the response modes are identified by means of operational modal analysis (OMA) (i.e., under unmeasured flow excitation) and presented in terms of frequency, damping, and mode shapes. Among all the modes theoretically possible in the bundle, it was found that some of them have a higher response depending on the flow velocity and the void fraction. Mode shapes allow to argue if lock-in is present and to clarify the role of lift and drag forces close to the fluid-elastic instability (FEI).

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References

David, F. , and Adobes, A. , 2012, “Steam Generator Management Program: Benchmark Study of EPRI and EDF Steam Generator Thermal-Hydraulic and Flow Induced Vibration Codes,” Electric Power Research Institute, Palo Alto, CA, Technical Report No. 1025130.
Granger, S. , and Gay, N. , 1995, “ An Unsteady Semi-Analytical Model for Cross-Flow Induced Vibration of Tube Bundles: Comparison With Experiments,” Sixth International Conference on Flow-Induced Vibration, London, Apr. 10–12, pp. 327–338.
Gosse, A. , Adobes, A. , and Baratte, C. , 2001, “Qualification of Motion Dependent Fluid Force Coefficients,” ASME PVP 420.1, pp. 133–140.
Delenne, B. , Gay, N. , Campistron, R. , and Banner, D. , 1997, “Experimental Determination of Motion-Dependent Fluid Forces in Two-Phase Water-Freon Cross Flow,” ASME WAM, Aerospace Division, Fourth International Symposium on Fluid-Structure Interactions, Aeroelasticity, Flow-Induced Vibration and Noise Conference, Dallas, TX, pp. 349–356.
Deri, E. , Nibas, J. , and Adobes, A. , 2014, “A New Test-Bench for Studying Vibrations of Tubes in Parallel Triangular Bundles Under Two-Phase Cross-Flow,” ASME Paper No. PVP2014-28245.
Deri, E. , Nibas, J. , Ries, O. , and Adobes, A. , 2015, “Measurement of Flow-Induced Forces: A Single Flexible Tube in a Rigid Triangular-Pitch Bundle Subjected to Two-Phase Cross-Flow,” ASME Paper No. PVP2015-45081.
Deri, E. , Ries, O. , and Adobes, A. , 2016, “Measurement of Flow-Induced Forces: Multiple Flexible Tubes in a Triangular-Pitch Bundle Subjected to Two-Phase Cross-Flow,” ASME Paper No. PVP2016-63450.
Chen, S. S. , 1978, “ Crossflow-Induced Vibrations of Heat Exchanger Tube Banks,” Nucl. Eng. Des., 47(1), pp. 67–86. [CrossRef]
Brincker, R. , 2014, “ Some Elements of Operational Modal Analysis,” Shock Vib., 2014, p. 325839.
Granger, S. , 1988, “Time Domain Method for Estimation of Damping in Flow Induced Vibration Problems,” ASME Pressure Vessels and Piping Conference, Pittsburgh, PA, June 19–23.
Pettigrew, M. J. , and Taylor, C. E. , 2004, “ Damping of Heat Exchanger Tubes in Two-Phase Flow: Review and Design Guidelines,” ASME J. Pressure Vessel Technol., 126(4), pp. 523–533. [CrossRef]
Chen, S. S. , 1975, “ Vibration of Nuclear Fuel Bundles,” Nucl. Eng. Des., 35(3), pp. 399–422. [CrossRef]
De Paw, B. , Weijtjens, W. , Vanlanduit, S. , Van Tichelen, K. , and Berghmans, F. , 2015, “ Operational Modal Analysis of Flow-Induced Vibration of Nuclear Fuel Rods in a Turbulent Axial Flow,” Nucl. Eng. Des., 284, pp. 19–26. [CrossRef]
Ghasemi, A. , and Kevlahan, N. K. R. , 2017, “ The Role of Reynolds Number in the Fluid-Elastic Instability of Tube Arrays,” J. Fluids Struct., 73, pp. 16–36. [CrossRef]
Kanizawa, F. T. , and Ribatski, G. , 2016, “ Two-Phase Flow Patterns Across Triangular Tube Bundles for Air water Upward Flow,” Int. J. Multiphase Flow, 80, pp. 43–56. [CrossRef]
Chen, S. S. , 1983, “ Instability Mechanisms and Stability Criteria of a Group of Circular Cylinders Subjected to Cross-Flow—Part 2: Numerical Results and Discussions,” ASME J. Vib., Acoust., Stress, Reliab., 105(2), pp. 253–260. [CrossRef]
de Langre, E. , and Villard, B. , 1998, “ An Upper Bound on Random Buffeting Forces Caused by Two-Phase Flows Across Tubes,” J. Fluids Struct., 12(8), pp. 1005–1023. [CrossRef]
Alvarez-Briceno, R. , Kanizawa, F. T. , Ribatski, G. , and de Oliveira, L. P. R. , 2018, “ Validation of Turbulence Induced Vibration Design Guidelines in a Normal Triangular Tube Bundle During Two-Phase Crossflow,” J. Fluids Struct., 76, pp. 301–318. [CrossRef]
Jiang, N. , Xiong, F. , Zang, F. , Zhang, Y. , and Qi, H. , 2017, “ Analysis on Vibration Response of U-Tube Bundles Caused by Two-Phase Cross-Flow Turbulence,” Ann. Nucl. Energy, 99, pp. 328–334. [CrossRef]
Taylor, C. E. , Currie, I. G. , Pettigrew, M. J. , and Kim, B. S. , 1989, “ Vibration of Tube Bundles in Two-Phase Cross-Flow—Part 3: Turbulence-Induced Excitation,” ASME J. Pressure Vessel Technol., 111(4), pp. 488–500. [CrossRef]
Axisa, F. , and Villard, B. , 1992, “Random Excitation of Heat Exchanger Tubes by Two-Phase Cross-Flows,” ASME Fourth International Symposium on Flow-Induced Vibration and Noise, Anaheim, CA, Nov. 8–13.
Shahriary, S. , Mureithi, N. W. , and Pettigrew, M. J. , 2007, “Quasi-Static Forces and Stability Analysis in a Triangular Tube Bundle Subjected to Two-Phase Cross-Flow,” ASME Paper No. PVP2007-26017.
Berland, J. , Deri, E. , and Adobes, A. , 2016, “Investigation of Cross-Flow Induced Vibrations in a Normal Square Tube Array by Means of Large-Eddy Simulations for Tube Damage Risk Assessment,” CFD4NRS-6: Application of CFD/CMFD Codes to Nuclear Reactor Safety and Design and Their Experimental Validation (OECD/NEA Workshop), Cambridge, MA, Sept. 13–15.
Berland, J. , Deri, E. , and Adobes, A. , 2014, “Large-Eddy Simulation of Cross-Flow Induced Vibrations of a Single Flexible Tube in a Normal Square Tube Array,” ASME Paper No. PVP2014-28369.
Sargentini, L. , Cariteau, B. , and Angelucci, M. , 2014, “Experimental and Numerical Analysis for Fluid-Structure Interaction for an Enclosed Hexagonal Assembly,” ASME Paper No. PVP2014-28053.

Figures

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Fig. 4

Nomenclature of the four tested bundle configurations: cross-sketch of the test section. Vibrating tubes are the gray-hatched ones, two-phase mixture flows from the bottom to the top.

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Fig. 5

Typical PDF of the displacement of the central tube at low (a) and high (b) reduced velocity for 80% of void fraction. Time trace responses for the two lift signals (c).

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Fig. 1

Cross-sketch of the test section: empty circles represent rigid tubes, gray-hatched the flexible ones

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Fig. 2

Tube support design: the piano wire is supported outside the test section

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Fig. 3

Measured added mass coefficient compared with the predictions of Rogers [11] and Chen [12] models

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Fig. 6

Lift dimensionless fluid-elastic coefficients for a single flexible tube in a rigid bundle (TUM) at 50% of void fraction [6]: Cartesian CaCk form (a) and polar amplitude-phase form (b)

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Fig. 7

Lift and drag equivalent dimensionless cross-spectrum of random forces for TUM at 50% of void fraction both for triangular (triangles [7]) and square pitches (squares [4]) according to de Langre and Villard [17] scaling

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Fig. 8

Axisa's ERS [21] for two-phase flow in function of the mass flux ρUp. Lift data for TUM at 50% of void fraction both for square (squares [4]) and triangular (triangles [7]) pitches.

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Fig. 13

Auto PSD of the liftwise recorded response of the central tube of the vibrating cell for 20% of void fraction: two selected cases at 2.0 m/s and 2.9 m/s

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Fig. 14

Most responding mode for the case of Fig. 13 (mode 3). Tube pitch is magnified for clarity, two-phase mixture flows from the bottom to the top.

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Fig. 9

Coherence functions between lift and drag displacements of the central tube. Recording is at void fraction of 50% and homogeneous velocity 3.5 m/s and 4.8 m/s (cases of Fig. 10).

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Fig. 10

Auto PSD of the liftwise recorded response of the central tube of the vibrating cell for 50% of void fraction: two selected cases at 3.5 m/s and 4.8 m/s from the data series of Ref. [7]

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Fig. 11

Modes for the case at high velocity of Fig. 10. Tube pitch is magnified for clarity, two-phase mixture flows from the bottom to the top.

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Fig. 12

Modes for the case at low velocity of Fig. 10. Tube pitch is magnified for clarity, two-phase mixture flows from the bottom to the top.

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Fig. 15

Modes for the case at high velocity of Fig. 13. Tube pitch is magnified for clarity, two-phase mixture flows from the bottom to the top.

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