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Nonsinusoidal motion effects on energy extraction performance of a flapping foil

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  • Lu, Kun
  • Xie, Yonghui
  • Zhang, Di

Abstract

To seek better energy extraction performance of a flapping hydrofoil, various nonsinusoidal motion profiles are employed instead of conventional sinusoidal flapping motions. The effects of nonsinusoidal motions are investigated for four kinds of nonsinusoidal flapping motions, i.e. varying effective angle of attack profile, nonsinusoidal pitching motion combined with sinusoidal plunging, nonsinusoidal plunging motion combined with sinusoidal pitching, and combined nonsinusoidal pitching and nonsinusoidal plunging motion. An adjustable parameters K is used to realize various nonsinusoidal profile varying from a sawtooth wave to a square wave profile. Numerical results show that by imposing a square-like effective angle of attack profile, extraction power and efficiency can be significantly increased compared with sinusoidal flapping motion. By accelerating the formation time and development of leading edge vortex (LEV), the square-like effective angle of attack profile leads to a better synchronization between the vertical force and plunging velocity. Similar effect on the flapping foil energy extraction performance is also found by imposing nonsinusoidal pitching profile. While the output power enhancement is quite limited by using the nonsinusoidal plunging profile. Moreover, the energy extraction performance can be significantly improved with an appropriate combination of nonsinusoidal pitching and nonsinusoidal plunging motion. Of all the nonsinusoidal motions studied, a toothed-like plunging profile together with square-like pitching profile should be selected for the best energy extraction performance.

Suggested Citation

  • Lu, Kun & Xie, Yonghui & Zhang, Di, 2014. "Nonsinusoidal motion effects on energy extraction performance of a flapping foil," Renewable Energy, Elsevier, vol. 64(C), pages 283-293.
    • Handle: RePEc:eee:renene:v:64:y:2014:i:c:p:283-293
    DOI: 10.1016/j.renene.2013.11.053
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    References listed on IDEAS

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    1. Xiao, Qing & Liao, Wei & Yang, Shuchi & Peng, Yan, 2012. "How motion trajectory affects energy extraction performance of a biomimic energy generator with an oscillating foil?," Renewable Energy, Elsevier, vol. 37(1), pages 61-75.
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    Cited by:

    1. Jiang, W. & Mei, Z.Y. & Wu, F. & Han, A. & Xie, Y.H. & Xie, D.M., 2022. "Effect of shroud on the energy extraction performance of oscillating foil," Energy, Elsevier, vol. 239(PD).
    2. Tian, Chenye & Liu, Xiaomin, 2024. "Numerical study on the energy extraction characteristics of a flapping foil with movable lateral flaps," Renewable Energy, Elsevier, vol. 225(C).
    3. Ma, Penglei & Wang, Yong & Xie, Yudong & Huo, Zhipu, 2018. "Numerical analysis of a tidal current generator with dual flapping wings," Energy, Elsevier, vol. 155(C), pages 1077-1089.
    4. Xie, Y.H. & Jiang, W. & Lu, K. & Zhang, D., 2016. "Numerical investigation into energy extraction of flapping airfoil with Gurney flaps," Energy, Elsevier, vol. 109(C), pages 694-702.
    5. Liu, Zhen & Qu, Hengliang & Zhang, Guoliang, 2020. "Experimental and numerical investigations of a coupled-pitching hydrofoil under the fully-activated mode," Renewable Energy, Elsevier, vol. 155(C), pages 432-446.
    6. Sun, Guang & Wang, Yong & Xie, Yudong & Lv, Kai & Sheng, Ruoyu, 2021. "Research on the effect of a movable gurney flap on energy extraction of oscillating hydrofoil," Energy, Elsevier, vol. 225(C).
    7. Xu, Wenhua & Xu, Guodong & Duan, Wenyang & Song, Zhijie & Lei, Jie, 2019. "Experimental and numerical study of a hydrokinetic turbine based on tandem flapping hydrofoils," Energy, Elsevier, vol. 174(C), pages 375-385.
    8. Karbasian, H.R. & Esfahani, J.A. & Barati, E., 2016. "The power extraction by flapping foil hydrokinetic turbine in swing arm mode," Renewable Energy, Elsevier, vol. 88(C), pages 130-142.
    9. Lu, Kun & Xie, Yonghui & Zhang, Di & Xie, Gongnan, 2015. "Systematic investigation of the flow evolution and energy extraction performance of a flapping-airfoil power generator," Energy, Elsevier, vol. 89(C), pages 138-147.
    10. Zhang, Yubing & Wang, Yong & Xie, Yudong & Sun, Guang & Han, Jiazhen, 2022. "Effects of flexibility on energy extraction performance of an oscillating hydrofoil under a semi-activated mode," Energy, Elsevier, vol. 242(C).
    11. Teng, Lubao & Deng, Jian & Pan, Dingyi & Shao, Xueming, 2016. "Effects of non-sinusoidal pitching motion on energy extraction performance of a semi-active flapping foil," Renewable Energy, Elsevier, vol. 85(C), pages 810-818.
    12. Li, Weizhong & Wang, Wen-Quan & Yan, Yan, 2020. "The effects of outline of the symmetrical flapping hydrofoil on energy harvesting performance," Renewable Energy, Elsevier, vol. 162(C), pages 624-638.
    13. Jiang, W. & Zhang, D. & Xie, Y.H., 2016. "Numerical investigation into the effects of arm motion and camber on a self-induced oscillating hydrofoil," Energy, Elsevier, vol. 115(P1), pages 1010-1021.
    14. Zhang, Yubing & Wang, Qixian & Han, Jiazhen & Xie, Yudong, 2023. "Effects of unsteady stream on hydrodynamic behavior of flexible hydrofoil in semi-passive mode," Renewable Energy, Elsevier, vol. 206(C), pages 451-465.
    15. Karbasian, H.R. & Esfahani, J.A. & Barati, E., 2015. "Simulation of power extraction from tidal currents by flapping foil hydrokinetic turbines in tandem formation," Renewable Energy, Elsevier, vol. 81(C), pages 816-824.
    16. Jiang, W. & Wang, Y.L. & Zhang, D. & Xie, Y.H., 2019. "Numerical investigation into power extraction by a fully passive oscillating foil with double generators," Renewable Energy, Elsevier, vol. 133(C), pages 32-43.
    17. Ma, Penglei & Wang, Yong & Xie, Yudong & Zhang, Jianhua, 2018. "Analysis of a hydraulic coupling system for dual oscillating foils with a parallel configuration," Energy, Elsevier, vol. 143(C), pages 273-283.
    18. Siala, Firas F. & Liburdy, James A., 2020. "Power estimation of flapping foil energy harvesters using vortex impulse theory," Renewable Energy, Elsevier, vol. 154(C), pages 894-902.
    19. Ma, Penglei & Yang, Zhihong & Wang, Yong & Liu, Haibin & Xie, Yudong, 2017. "Energy extraction and hydrodynamic behavior analysis by an oscillating hydrofoil device," Renewable Energy, Elsevier, vol. 113(C), pages 648-659.
    20. Wu, Jie & Chen, Yongliang & Zhao, Ning & Wang, Tongguang, 2016. "Influence of stroke deviation on the power extraction performance of a fully-active flapping foil," Renewable Energy, Elsevier, vol. 94(C), pages 440-451.

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