Experimental Study on Vortex-Induced Vibration Force Characteristics of Side-by-Side Double Free-Hanging Water Transmission Pipes Under Uniform Flow

doi:10.16183/j.cnki.jsjtu.2023.539

Abstract

Abstract:

This paper investigates vortex-induced vibration (VIV) characteristics of double free-hanging water transmission pipes, which are crucial for temperature difference energy harvesting platforms. Compared to a single pipe, double pipes could offer higher transport efficiency and cost-effectiveness. In this paper, model experiments were conducted to analyze VIV characteristics of the double free-hanging pipes and a method for identifying vortex-induced loads for large displacements and small deformations was proposed. A comparative analysis of the VIV characteristics of double free-hanging pipe and the single pipe was performed. The findings show that VIV displacement amplitudes of double free-hanging pipe are similar at low flow velocities but differ with those of single pipe at high velocities. The double free-hanging pipe is more prone to instability in VIV, including traveling waves and multi-frequency responses. The VIV frequencies of double free-hanging pipe can be predicted by the same Strouhal number as that of the single pipe. Additionally, a significant difference in the added mass coefficient affects natural wet frequency adjustment for VIV resonance.

Key words: free-hanging pipe, vortex-induced vibration (VIV), vortex-induced force, model test

CLC Number:

P756.2

ZHAO Guangyi, ZHANG Mengmeng, FU Shixiao, XU Yuwang, REN Haojie, BAI Yingli. Experimental Study on Vortex-Induced Vibration Force Characteristics of Side-by-Side Double Free-Hanging Water Transmission Pipes Under Uniform Flow[J]. Journal of Shanghai Jiao Tong University, 2025, 59(8): 1067-1080.

Figures/Tables 23

Fig.1

Fig.2

Fig.3

Fig.4

Tab.1

Fig.5

Fig.6

Fig.7

Fig.8

Fig.9

Tab.2

Fig.10

Fig.11

Fig.12

Fig.13

Fig.14

Fig.15

Tab.3

Fig.16

Fig.17

Fig.18

Fig.19

Fig.20

References 21

[1]	董双林. 黄海冷水团大型鲑科鱼类养殖研究进展与展望[J]. 中国海洋大学学报(自然科学版), 2019, 49(3): 1-6.
	DONG Shuanglin. Researching progresses and prospects in large salmonidae farming in cold water mass of Yellow Sea[J]. Periodical of Ocean University of China, 2019, 49(3): 1-6.
[2]	李大树, 刘强, 董芬, 等. 海洋温差能开发利用技术进展及预见研究[J]. 工业加热, 2021, 50(11): 1-3.
	LI Dashu, LIU Qiang, DONG Fen, et al. Research on the progress and foresight of ocean thermal energy conversion[J]. Industrial Heating, 2021, 50(11): 1-3.
[3]	梁天纬, 许玉旺, 付世晓, 等. 悬垂立管波致疲劳与流致涡激振动疲劳特性研究[J]. 振动与冲击, 2023, 42(18): 313-320.
	LIANG Tianwei, XU Yuwang, FU Shixiao, et al. Wave-induced fatigue and VIV-induced fatigue of a free-hanging riser[J]. Journal of Vibration and Shock, 2023, 42(18): 313-320.
[4]	JIANG Z, LI P, FENG L, et al. Experimental investigation on the VIV of two side-by-side risers fitted with triple helical strakes under coupled interference effect[J]. Journal of Fluids and Structures, 2021, 101: 103202.
[5]	WANG J, FU S, WANG J, et al. Experimental investigation on vortex-induced vibration of a free-hanging riser under vessel motion and uniform current[J]. Journal of Offshore Mechanics and Arctic Engineering, 2017, 139(4): 041703.
[6]	FU X, FU S, REN H, et al. Experimental investigation of vortex-induced vibration of a flexible pipe in bidirectionally sheared flow[J]. Journal of Fluids and Structures, 2022, 114: 103722.
[7]	ZHANG M, FU S, LIU C, et al. Experimental investigation on vortex-induced force of a steel catenary riser under in-plane vessel motion[J]. Marine Structures, 2021, 78: 102882.
[8]	DUAN J, WANG X, ZHOU J, et al. Effect of internal solitary wave on the dynamic response of a flexible riser[J]. Physics of Fluids, 2023, 35(1): 017107.
[9]	DUAN J, ZHOU J, YOU Y, et al. Time-domain analysis of vortex-induced vibration of a flexible mining riser transporting flow with various velocities and densities[J]. Ocean Engineering, 2021, 220: 108427.
[10]	MAO L, ZENG S, LIU Q, et al. Experimental investigation on vortex-induced vibrations of a hang-off evacuated drilling riser[J]. Nonlinear Dynamics, 2020, 102: 1499-1516.
[11]	QU Y, FU S, XU Y, et al. Application of a modified wake oscillator model to vortex-induced vibration of a free-hanging riser subjected to vessel motion[J]. Ocean Engineering, 2022, 253: 111165.
[12]	HUSE E. Experimental investigation of deep sea riser interaction[C]// Offshore Technology Conference (OTC). Houston, USA:OTC-8070-MS, 1996: 97-113.
[13]	XU W, CHENG A, MA Y, et al. Multi-mode flow-induced vibrations of two side-by-side slender flexible cylinders in a uniform flow[J]. Marine Structures, 2018, 57: 219-236.
[14]	XU W, ZHANG Q, MA Y, et al. Hydrodynamic characteristics of two side-by-side flexible cylinders with different diameters experiencing flow-induced vibration[J]. Ocean Engineering, 2022, 243: 110199.
[15]	REN T, ZHANG M, FU S, et al. Hydrodynamics of a flexible riser undergoing the vortex-induced vibration at high Reynolds number[J]. China Ocean Engineering, 2018, 32(5): 570-581.
[16]	LIU C, FU S, ZHANG M, et al. Time-varying hydrodynamics of a flexible riser under multi-frequency vortex-induced vibrations[J]. Journal of Fluids and Structures, 2018, 80: 217-244.
[17]	FU S, REN T, LI R, et al. Experimental investigation on VIV of the flexible model under full scale Re number[C]// International Conference on Offshore Mechanics and Arctic Engineering. Rotterdam, Netherlands:OMAE, 2011: 43-50.
[18]	付雪鹏, 黄维平. 钢悬链式立管出平面运动刚体模态试验研究[J]. 海洋工程, 2018, 36(5): 114-120.
	FU Xuepeng, HUANG Weiping. Experimental study of out-of-plane motion of steel catenary riser in rigid mode[J]. The Ocean Engineering, 2018, 36(5): 114-120.
[19]	FANG S M, NIEDZWECKI J M, FU S, et al. VIV response of a flexible cylinder with varied coverage by buoyancy elements and helical strakes[J]. Marine Structures, 2014, 39: 70-89.
[20]	CHEN Z S, RHEE S H. Effect of traveling wave on the vortex-induced vibration of a long flexible pipe[J]. Applied Ocean Research, 2019, 84: 122-132.
[21]	LIU Y, JIANG Y, ZHAO H, et al. Experimental investigation on vortex-induced vibration characteristics of a segmented free-hanging flexible riser[J]. Ocean Engineering, 2023, 281: 115032.

参数	实尺度	模型尺度(设计)	模型尺度(实测)
长度,L/m	—	—	6.12
外径/水动力直径,D/m	1.83	0.029	0.029
内径/光纤粘贴直径,d/m	—	0.025	0.025
空气中单位长度质量,m/(kg·m^-1)	3 372.75	1.39	1.37
弯曲刚度,EI/(N·m²)	8.579×10⁹	26.78	28.14
拉伸刚度,EA/N	—	595 555	575 355
阻尼比	—	1.64	1.64
S/m	—	0.116	0.116

阶数	固有频率/Hz
阶数	单管	双管IL方向	双管CF方向
1	0.43	0.28	0.48
2	0.99	0.90	0.86
3	1.85	1.86	1.07
4	3.02	3.20	1.24
5	4.50	4.85	1.96
6	6.29	6.92	2.85

u/ (m·s^-1)	单管		双管左管		双管右管
u/ (m·s^-1)	CF	IL	CF	IL	CF	IL
0.1	0.58	1.13	0.58	1.15	0.58	1.15
0.3	1.73	1.73	1.63	3.45	1.63	3.36
0.5	2.65	2.65	2.67	2.67	2.64	2.64