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Research Papers: CFD and VIV

Hydrodynamics of Flexible Pipe With Staggered Buoyancy Elements Undergoing Vortex-Induced Vibrations

[+] Author and Article Information
Mengmeng Zhang

State Key Laboratory of Ocean Engineering,
Shanghai Jiao Tong University,
Shanghai 200240, China;
Collaborative Innovation Centre for Advanced
Ship and Deep-Sea Exploration,
Shanghai 200240, China
e-mail: 15145029174@163.com

Shixiao Fu

State Key Laboratory of Ocean Engineering,
Shanghai Jiao Tong University,
Shanghai 200240, China;
Collaborative Innovation Centre for Advanced
Ship and Deep-Sea Exploration,
Shanghai 200240, China
e-mail: shixiao.fu@sjtu.edu.cn

Leijian Song

Marine Design & Research Institute of China,
Shanghai 200011, China
e-mail: songleijian@163.com

Jie Wu

SINTEF Ocean,
Trondheim 7052, Norway
e-mail: jie.wu@marintek.sintef.no

Halvor Lie

SINTEF Ocean,
Trondheim 7052, Norway
e-mail: halvor.lie@marintek.sintef.no

Hanwen Hu

State Key Laboratory of Ocean Engineering,
Shanghai Jiao Tong University,
Shanghai 200240, China;
Collaborative Innovation Centre for Advanced
Ship and Deep-Sea Exploration,
Shanghai 200240, China
e-mail: hanwen_hu@126.com

1Corresponding author.

Contributed by the Ocean, Offshore, and Arctic Engineering Division of ASME for publication in the JOURNAL OF OFFSHORE MECHANICS AND ARCTIC ENGINEERING. Manuscript received May 18, 2017; final manuscript received June 5, 2018; published online July 24, 2018. Assoc. Editor: Ioannis K. Chatjigeorgiou.

J. Offshore Mech. Arct. Eng 140(6), 061805 (Jul 24, 2018) (17 pages) Paper No: OMAE-17-1078; doi: 10.1115/1.4040509 History: Received May 18, 2017; Revised June 05, 2018

Flexible pipe with staggered buoyancy elements such as lazy wave riser and drilling riser has been widely used in ocean engineering. Under the influence of sea current, both of the buoyancy elements and the riser may experience vortex induced vibrations (VIV). However, when VIV occurs, hydrodynamic characteristics of the buoyancy elements and its influence on hydrodynamic force of the bare pipe still need investigation. The purpose of this paper is to reveal the hydrodynamic characteristics of flexible pipe with staggered buoyancy elements undergoing VIV. The crossflow (CF) hydrodynamic coefficients of the flexible pipe with 25%, 50%, and 100% coverage of staggered buoyancy are obtained from model tests, using hydrodynamic forces and coefficients identification method. Then, the characteristics of added mass coefficients and excitation coefficients in CF direction are analyzed. The results show that the added-mass coefficients of bare pipe are relatively larger than those of buoyancy module, while the total mass per unit length (sum of structural mass and added mass) is consistent along the pipe. Similarly, the range of excitation coefficient on the buoyancy elements is smaller than that on the bare pipe, and their ratio is equal to the reciprocal of diameter ratio 2.5.

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References

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Figures

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Fig. 1

Hydrodynamic forces of a submerged flexible pipe with a tension in a current

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Fig. 2

Test facility for flexible pipe in a uniform flow

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Fig. 3

Definitions of Lbare, Lbuoyancy, Dbare, and Dbuoyancy [3]

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Fig. 4

Configurations of buoyancy elements

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Fig. 5

Arrangement of strain gauges on the surface of the pipe model

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Fig. 6

Distribution of strain response along frequency and pipe (F01, F03, F05): (a) U = 0.8 m/s, Vrbare = 7.96, F01, (b) U = 1.6 m/s, Vrbare = 5.31, F01, (c) U = 0.8 m/s, Vrbare = 5.18 and Vrbuoyancy = 8.16, F03, (d) U = 1.6 m/s, Vrbare = 5.93, and Vrbuoyancy = 7.36, F03, (e) U = 0.8 m/s, Vrbuoyancy = 7.16, F05, and (f) U = 1.6 m/s, Vrbuoyancy = 7.59, F05

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Fig. 7

Distribution of added mass coefficients and dimensionless displacements along the pipe under vortex shedding frequency of the bare pipe (F01, U = 0.8 m/s, and 1.6 m/s): (a) U = 0.8 m/s and (b) U = 1.6 m/s

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Fig. 8

Distribution of added mass coefficients and dimensionless displacements along the pipe under vortex shedding frequency of the bare pipe (F03, U = 0.8 m/s, and 1.6 m/s): (a) U = 0.8 m/s and (b) U = 1.6 m/s

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Fig. 9

Distribution of added mass coefficients and dimensionless displacements along the pipe under vortex shedding frequency of the buoyancy element (F03, U = 0.8 m/s and 1.6 m/s): (a) U = 0.8 m/s and (b) U = 1.6 m/s

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Fig. 10

Distribution of added mass coefficients and dimensionless displacements along the pipe under vortex shedding frequency of the buoyancy element (F05, U = 0.8 m/s, and 1.6 m/s): (a) U = 0.8 m/s and (b) U = 1.6 m/s

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Fig. 11

scheme of virtual buoyancy and bare pipe: (a) spacing ratio = 0.07 and (b) spacing ratio = 3/1

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Fig. 12

Distribution of added mass coefficients, added mass, structural mass, total mass, and total mass force in CF direction along the pipe (F01)

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Fig. 13

Added mass coefficients distributions under different damping ratios for F03 (U = 1.6 m/s)

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Fig. 14

Distribution of excitation coefficients and nondimensional displacement along the pipe (F01): (a) U = 0.8 m/s and (b) U = 1.6 m/s

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Fig. 16

Distribution of excitation coefficients and nondimensional displacement along the pipe (F05): (a) U = 0.8 m/s and (b) U = 1.6 m/s

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Fig. 15

Distribution of excitation coefficients and nondimensional displacement along the pipe (F03): (a) U = 0.8 m/s, under buoyancy response frequency, (b) U = 1.6 m/s, under buoyancy response frequency, (c) U = 0.8 m/s, under bare response frequency, and (d) U = 1.6 m/s, under bare response frequency

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Fig. 20

Crossflow excitation coefficients versus nondimensional response amplitude (U = 1.6 m/s, Vrbuoyancy = 7.36, and Vrbare = 5.93 for F03): (a) under buoyancy response frequency and (b) under bare response frequency

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Fig. 19

Crossflow excitation coefficients versus nondimensional response amplitude (U = 1.6 m/s and Vrbuoyancy = 7.59 for F05)

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Fig. 18

Crossflow excitation coefficients versus nondimensional response amplitude (U = 1.6 m/s and Vrbare = 5.32 for F01)

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Fig. 25

Axial distributions of the RMS values of the measured and calculated strains (F01, F03, and F05; U = 1.6 m/s): (a) F01, under bare vortex shedding frequency, (b) F05, under buoyancy vortex shedding frequency, (c) F03, under bare vortex shedding frequency, and (d) F03, under buoyancy vortex shedding frequency

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Fig. 24

Axial distributions of the RMS values of the measured and calculated strains (F01, F03, and F05, U = 0.8 m/s): (a) F01, under bare vortex shedding frequency, (b) F05, under buoyancy vortex shedding frequency, (c) F03, under bare vortex shedding frequency, and (d) F03, under buoyancy vortex shedding frequency

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Fig. 23

Validation procedure

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Fig. 22

Distribution of excitation coefficients with respect to bare and buoyancy diameter, respectively

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Fig. 21

Excitation forces of F03 under bare and buoyancy vortex shedding frequency

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Fig. 28

Distribution of added mass coefficients, added mass, structural mass, total mass, and total mass force in CF direction along the riser (F05, under buoyancy response frequency)

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Fig. 26

Distribution of added mass coefficients, added mass, structural mass, total mass, and total mass force in CF direction along the riser (F03, under buoyancy response frequency)

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Fig. 27

Distribution of added mass coefficients, added mass, structural mass, total mass, and total mass force in CF direction along the riser (F03, under bare response frequency)

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Fig. 17

Distribution of excitation coefficients along the pipe under different damping ratios for F03 (U = 1.6 m/s)

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