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Power estimation of flapping foil energy harvesters using vortex impulse theory

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  • Siala, Firas F.
  • Liburdy, James A.

Abstract

This study explores the feasibility of using the vortex impulse approach, based on experimentally generated velocity fields to estimate the energy harvesting performance of a sinusoidally flapping foil. Phase-resolved, two-component particle image velocimetry measurements are conducted in a low-speed wind tunnel to capture the flow field surrounding the flapping foil at reduced frequencies of k=fc/U∞ = 0.06–0.16, pitching amplitude of θ0=75∘ and heaving amplitude of h0/c=0.6. The model results show that for the conditions tested, a maximum energy harvesting efficiency of 25% is attained near k=0.14, agreeing very well with published numerical and experimental results in both accuracy and general trend. The vortex impulse method identifies key contributions to the transient power production from both linear and angular momentum effects. The efficiency reduction at larger values of reduced frequencies is shown to be a result of the reduced power output from the angular momentum. Further, the impulse formulation is decomposed into contributions from positive and negative vorticity in the flow and is used to better understand the fluid dynamic mechanisms responsible for producing a peak in energy harvesting performance at k=0.14. At the larger k values, there is a reduction of the advective time scales of the leading edge vortex (LEV) formation. Consequently, the LEV that is shed during the previous half cycle interacts with the foil at the current half cycle resulting in a large negative pitching power due to the reversed direction of the kinematic motion. This vortex capture process significantly decreases the total cycle averaged power output and energy harvesting efficiency. These results show the link between the kinematic motion and LEV time scales that affect the overall power production.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:renene:v:154:y:2020:i:c:p:894-902
    DOI: 10.1016/j.renene.2020.03.067
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    References listed on IDEAS

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    1. 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.
    2. Xie, Yonghui & Lu, Kun & Zhang, Di, 2014. "Investigation on energy extraction performance of an oscillating foil with modified flapping motion," Renewable Energy, Elsevier, vol. 63(C), pages 550-557.
    3. 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:

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    2. Liu, Zhen & Qu, Hengliang & Song, Xinyu, 2024. "Experimental and numerical studies on a passively deformed coupled-pitching hydrofoil under the semi-activated mode," Renewable Energy, Elsevier, vol. 227(C).

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