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Scale dependence in hydrodynamic regime for jumping on water

Author

Listed:
  • Minseok Gwon

    (Ajou University)

  • Dongjin Kim

    (Ajou University)

  • Baekgyeom Kim

    (Ajou University)

  • Seungyong Han

    (Ajou University)

  • Daeshik Kang

    (Ajou University)

  • Je-Sung Koh

    (Ajou University)

Abstract

Momentum transfer from the water surface is strongly related to the dynamical scale and morphology of jumping animals. Here, we investigate the scale-dependent momentum transfer of various jumping organisms and engineered systems at an air-water interface. A simplified analytical model for calculating the maximum momentum transfer identifies an intermediate dynamical scale region highly disadvantageous for jumping on water. The Weber number of the systems should be designed far from 1 to achieve high jumping performance on water. We design a relatively large water-jumping robot in the drag-dominant scale range, having a high Weber number, for maximum jumping height and distance. The jumping robot, around 10 times larger than water striders, has a take-off speed of 3.6 m/s facilitated by drag-based propulsion, which is the highest value reported thus far. The scale-dependent hydrodynamics of water jumpers provides a useful framework for understanding nature and robotic system interacting with the water surface.

Suggested Citation

  • Minseok Gwon & Dongjin Kim & Baekgyeom Kim & Seungyong Han & Daeshik Kang & Je-Sung Koh, 2023. "Scale dependence in hydrodynamic regime for jumping on water," Nature Communications, Nature, vol. 14(1), pages 1-9, December.
    • Handle: RePEc:nat:natcom:v:14:y:2023:i:1:d:10.1038_s41467-023-37119-2
    DOI: 10.1038/s41467-023-37119-2
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    References listed on IDEAS

    as
    1. Eunjin Yang & Jae Hak Son & Sang-im Lee & Piotr G. Jablonski & Ho-Young Kim, 2016. "Water striders adjust leg movement speed to optimize takeoff velocity for their morphology," Nature Communications, Nature, vol. 7(1), pages 1-9, December.
    2. Yufeng Chen & Neel Doshi & Benjamin Goldberg & Hongqiang Wang & Robert J. Wood, 2018. "Controllable water surface to underwater transition through electrowetting in a hybrid terrestrial-aquatic microrobot," Nature Communications, Nature, vol. 9(1), pages 1-11, December.
    3. Elliot W. Hawkes & Charles Xiao & Richard-Alexandre Peloquin & Christopher Keeley & Matthew R. Begley & Morgan T. Pope & Günter Niemeyer, 2022. "Engineered jumpers overcome biological limits via work multiplication," Nature, Nature, vol. 604(7907), pages 657-661, April.
    4. David L. Hu & Brian Chan & John W. M. Bush, 2003. "The hydrodynamics of water strider locomotion," Nature, Nature, vol. 424(6949), pages 663-666, August.
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