IDEAS home Printed from https://ideas.repec.org/a/eee/energy/v342y2026ics0360544225053666.html

Theoretical modeling of wall-proximity effect for vortex-induced vibration energy harvesting in tunnel

Author

Listed:
  • Jing, Hao
  • Xiang, Hongjun
  • Wang, Jingyan

Abstract

Vortex-induced vibration (VIV) offers a promising mechanism for harvesting environmental wind energy, but the performance of VIV piezoelectric energy harvesters (VIV-PEHs) placed near walls remains poorly understood. In this work, we develop a modified semi-empirical VIV–PEH coupling model that explicitly integrates the wall-proximity effect. The model introduces a logarithmic boundary-layer velocity profile, gap-ratio-dependent empirical formulations for the mean and RMS lift coefficients, and a dynamically updated effective gap ratio linked to the cylinder displacement. Wind tunnel tests are conducted in a near-wall shear flow generated by a passive turbulence grid for. The measured velocity profiles follow the logarithmic law of the wall, and the proposed model predicts the RMS voltage, vibration frequency and lock-in range with deviations below 3 % over all tested configurations. Parametric analysis based on the validated model shows that wall proximity increases the cut-in wind speed and suppresses the peak energy output at small gap ratios, while both effects disappear beyond a critical gap ratio where the harvester behaves as if in an unbounded flow.

Suggested Citation

  • Jing, Hao & Xiang, Hongjun & Wang, Jingyan, 2026. "Theoretical modeling of wall-proximity effect for vortex-induced vibration energy harvesting in tunnel," Energy, Elsevier, vol. 342(C).
    • Handle: RePEc:eee:energy:v:342:y:2026:i:c:s0360544225053666
    DOI: 10.1016/j.energy.2025.139723
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0360544225053666
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.energy.2025.139723?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to

    for a different version of it.

    References listed on IDEAS

    as
    1. Zheng, Peng & Qi, Lingfei & Sun, Mengdie & Luo, Dabing & Zhang, Zutao, 2021. "A novel wind energy harvesting system with hybrid mechanism for self-powered applications in subway tunnels," Energy, Elsevier, vol. 227(C).
    2. Zhou, Ning & Hou, Zehao & Zhang, Ying & Cao, Junyi & Bowen, Chris R., 2021. "Enhanced swing electromagnetic energy harvesting from human motion," Energy, Elsevier, vol. 228(C).
    3. Zhang, Baoshou & Li, Boyang & Fu, Song & Mao, Zhaoyong & Ding, Wenjun, 2022. "Vortex-Induced Vibration (VIV) hydrokinetic energy harvesting based on nonlinear damping," Renewable Energy, Elsevier, vol. 195(C), pages 1050-1063.
    4. Sun, Wan & Wang, Yiheng & Liu, Yang & Su, Bo & Guo, Tong & Cheng, Guanggui & Zhang, Zhongqiang & Ding, Jianning & Seok, Jongwon, 2024. "Navigating the future of flow-induced vibration-based piezoelectric energy harvesting," Renewable and Sustainable Energy Reviews, Elsevier, vol. 201(C).
    5. Zhu, Hongjun & Tang, Tao & Zhou, Tongming & Cai, Mingjin & Gaidai, Oleg & Wang, Junlei, 2021. "High performance energy harvesting from flow-induced vibrations in trapezoidal oscillators," Energy, Elsevier, vol. 236(C).
    6. Miao, Gang & Fang, Shitong & Wang, Suo & Zhou, Shengxi, 2022. "A low-frequency rotational electromagnetic energy harvester using a magnetic plucking mechanism," Applied Energy, Elsevier, vol. 305(C).
    7. Wang, Jingyan & Xiang, Hongjun & Jing, Hao & Zhu, Yijiang & Zhang, Zhiwei, 2025. "Stochastic analysis for vortex-induced vibration piezoelectric energy harvesting in incoming wind turbulence," Applied Energy, Elsevier, vol. 377(PC).
    8. Ze-Qi Lu & Long Zhao & Hai-Ling Fu & Eric Yeatman & Hu Ding & Li-Qun Chen, 2024. "Ocean wave energy harvesting with high energy density and self-powered monitoring system," Nature Communications, Nature, vol. 15(1), pages 1-14, December.
    9. Bai, Shanming & Cui, Juan & Zheng, Yongqiu & Li, Gang & Liu, Tingshan & Liu, Yabing & Hao, Congcong & Xue, Chenyang, 2023. "Electromagnetic-triboelectric energy harvester based on vibration-to-rotation conversion for human motion energy exploitation," Applied Energy, Elsevier, vol. 329(C).
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Su, Bo & Guo, Tong & Alam, Md. Mahbub, 2025. "A review of wind energy harvesting technology: Civil engineering resource, theory, optimization, and application," Applied Energy, Elsevier, vol. 389(C).
    2. Xia, Cuipeng & Tang, Lihua & Meng, Tianle & Wang, Yawei & Li, Huaijun & Yin, Peilun & Sun, Wan & Liu, Weiqun & Hu, Guobiao & Aw, Kean C., 2026. "Vortex-induced vibration piezoelectric energy harvester with arch beam for multi-directional operation and self-powered sensing," Energy, Elsevier, vol. 347(C).
    3. Wang, Wei & Zhang, Ying & Wei, Zon-Han & Cao, Junyi, 2022. "Design and numerical investigation of an ultra-wide bandwidth rolling magnet bistable electromagnetic harvester," Energy, Elsevier, vol. 261(PB).
    4. Xue, Xinxin & Xiang, Hongjun & Ci, Yiman & Wang, Jingyan, 2025. "A sustainable galloping piezoelectric energy harvesting wind barrier for power generation on railway bridges," Energy, Elsevier, vol. 320(C).
    5. Zhang, Zhongcai & Shen, Haoting & Gao, Haili & Li, Haitao & He, Jian & Chou, Xiujian, 2026. "Flow jetting interference cylinder based on Venturi effect for enhancing wake-induced vibration energy harvesting," Renewable Energy, Elsevier, vol. 257(C).
    6. Yin, Peilun & Tang, Lihua & Li, Zhongjie & Xia, Cuipeng & Li, Zifan & Aw, Kean Chin, 2025. "Harnessing ultra-low-frequency vibration energy by a rolling-swing electromagnetic energy harvester with counter-rotations," Applied Energy, Elsevier, vol. 377(PB).
    7. Jing, Hao & Xiang, Hongjun & Wang, Jingyan, 2025. "Enhancing wind energy harvesting performance through staggered dual cylinders inspired by migrant bird lift sharing effect," Renewable Energy, Elsevier, vol. 246(C).
    8. Sun, Hongjun & Yang, Zhen & Li, Jinxia & Ding, Hongbing & Lv, Pengfei, 2024. "Performance evaluation and optimal design for passive turbulence control-based hydrokinetic energy harvester using EWM-based TOPSIS," Energy, Elsevier, vol. 298(C).
    9. Bai, Xu & Sun, Meng & Zhang, Wen & Wang, Jialu, 2024. "A novel elli-circ oscillator applied in VIVACE converter and its vibration characteristics and energy harvesting efficiency," Energy, Elsevier, vol. 296(C).
    10. Tang, Tianyi & Zhao, Heng & Li, Yunfei & Zha, Fusheng & Sun, Lining & Liu, Huicong, 2026. "Double-stage frequency-boost mechanism for high-power wave energy harvesting from ultra-low frequency ocean excitations," Renewable Energy, Elsevier, vol. 256(PD).
    11. Pan, Jiaheng & Sun, Yanwei & Sun, Qichao & Jia, Shengyao & Wang, Xiudeng & Xia, Huakang & Li, Qing & Xia, Yinshui & Shi, Ge, 2025. "A phase-synchronized triboelectric-assisted electromagnetic energy harvesting system for omnidirectional low-frequency wave energy," Energy, Elsevier, vol. 328(C).
    12. Tan, Dongguo & Ou, Xu & Jia, Zhongjie & Zhou, Jiaxi & Wang, Kai & Sun, Hongxin, 2025. "A cylindrical bistable hybrid triboelectric-electromagnetic energy harvester for harvesting low-frequency vibration energy," Energy, Elsevier, vol. 334(C).
    13. Zhongjie Li & Limeng Zhou & Ying Gong & Fan Shen & Yan Peng & Hao Wu, 2025. "Axial Flux Electromagnetic Energy Harvester Driven by a Stirling Engine for Waste Heat Recovery," Energies, MDPI, vol. 18(7), pages 1-16, March.
    14. Ma, Xiaoqing & Litak, Grzegorz & Zhou, Shengxi, 2025. "Using 0–1 test to diagnose periodic and chaotic motions of nonlinear vortex-induced vibration energy harvesters," Chaos, Solitons & Fractals, Elsevier, vol. 192(C).
    15. Zhou, Jianwen & Xu, Jiandong & Hu, Junhui, 2025. "A compact and homologously excited hybrid energy harvester to scavenge fluid kinetic energy in pipelines for powering low-power sensor systems," Renewable Energy, Elsevier, vol. 255(C).
    16. Liu, Xinzhi & Qi, Nanjian & Dai, Keren & Yin, Yajiang & Zhao, Jiahao & Wang, Xiaofeng & You, Zheng, 2022. "Sponge Supercapacitor rule-based energy management strategy for wireless sensor nodes optimized by using dynamic programing algorithm," Energy, Elsevier, vol. 239(PE).
    17. Ma, Chao & Wu, Zhichuan & Yan, Xiang & Li, Peiyao & Shao, Nan & Liu, Fang & Wang, Xiaoqun, 2025. "Hydrokinetic energy conversion from flow-induced motion by two rigidly coupled triangular prisms with variable excitation voltage," Energy, Elsevier, vol. 322(C).
    18. Sun, Ruqi & Ma, He & Zhou, Shengxi & Li, Zhongjie & Cheng, Li, 2024. "A direction-adaptive ultra-low frequency energy harvester with an aligning turntable," Energy, Elsevier, vol. 311(C).
    19. Ilgvars Gorņevs & Juris Blūms, 2023. "Enhancing the Performance of Human Motion Energy Harvesting through Optimal Smoothing Capacity in the Rectifier," Sustainability, MDPI, vol. 15(18), pages 1-16, September.
    20. Hu, Wenyu & E, Jiaqiang & Tan, Yan & Zhang, Feng & Liao, Gaoliang, 2022. "Modified wind energy collection devices for harvesting convective wind energy from cars and trucks moving in the highway," Energy, Elsevier, vol. 247(C).

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:energy:v:342:y:2026:i:c:s0360544225053666. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/energy .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.