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Dynamic analysis of deepwater risers conveying two-phase flow under vortex-induced vibration

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Abstract

The vortex-induced vibration of the riser transporting flow was analyzed in this paper. The dynamic model which couples the effect of internal flow and external flow has been proposed based on Euler–Bernoulli beam model, slip-ratio factor model and wake oscillator model. The finite difference scheme and generalized integral transform techniques have been adopted to solve the partial differential equations. The influence of the internal flow velocity, void fraction, aspect ratio and external flow velocity was studied on the vibration frequency, amplitude and modes of the riser. The results show that internal flow will lead to the drop of natural frequencies of the riser. For deepwater rises, the internal flow should be taken into consideration and the two-phase flow has significant influence on the dynamic response when the riser is long. The increase in external flow velocity and aspect ratio may lead to the high mode vibration. When the riser is under the combination action of internal flow and cross-flow, the frequencies decrease and the vibration amplitudes increase with the increase in gas fraction. Under the same external flow velocity, the two-phase flow in the riser will induce a higher-order modal vibration.

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Acknowledgments

The authors acknowledge gratefully financial support provided by the China National Key Research and Development Plan (Grant Nos. 2017YFC0805803 and 2016YFC0303706), the Science Foundation of China University of Petroleum, Beijing (Grant No. 2462020YXZZ046), and the Natural Science Fund of China (Grant No. 51409259) for the financial support of this research.

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Authors and Affiliations

  1. College of Mechanical and Transportation Engineering, China University of Petroleum - Beijing, No. 18, Fuxue Road, Changping District, Beijing, 102249, People’s Republic of China

    Jijun Gu, Leilei Chen & Jichuan Jia

  2. Department of Civil and Environmental Engineering, Louisiana State University, Baton Rouge, LA, 70803, USA

    Tianqi Ma

  3. Jianghan Machinery Research Institute Limited Company of CNPC, Wuhan, 430000, People’s Republic of China

    Kai Kang

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  1. Jijun Gu
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  2. Tianqi Ma
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  3. Leilei Chen
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  4. Jichuan Jia
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  5. Kai Kang
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Correspondence to Jijun Gu.

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Technical Editor: Jader Barbosa Jr.

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Gu, J., Ma, T., Chen, L. et al. Dynamic analysis of deepwater risers conveying two-phase flow under vortex-induced vibration. J Braz. Soc. Mech. Sci. Eng. 43, 188 (2021). https://doi.org/10.1007/s40430-021-02902-z

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  • DOI: https://doi.org/10.1007/s40430-021-02902-z

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