The hydrodynamics of water strider locomotion

Abstract

Water striders Gerridae are insects of characteristic length 1 cm and weight 10 dynes that reside on the surface of ponds, rivers, and the open ocean1,2,3,4. Their weight is supported by the surface tension force generated by curvature of the free surface5,6, and they propel themselves by driving their central pair of hydrophobic legs in a sculling motion7,8. Previous investigators have assumed that the hydrodynamic propulsion of the water strider relies on momentum transfer by surface waves1,9,10. This assumption leads to Denny's paradox11: infant water striders, whose legs are too slow to generate waves, should be incapable of propelling themselves along the surface. We here resolve this paradox through reporting the results of high-speed video and particle-tracking studies. Experiments reveal that the strider transfers momentum to the underlying fluid not primarily through capillary waves, but rather through hemispherical vortices shed by its driving legs. This insight guided us in constructing a self-contained mechanical water strider whose means of propulsion is analogous to that of its natural counterpart.

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Figure 1: Natural and mechanical water striders.
Figure 2: The relation between maximum curvature force Fs = σP and body weight Fg = Mg for 342 species of water striders.
Figure 3: The flow generated by the driving stroke of the water strider.
Figure 4: Dipolar vortices in the wake of the adult water strider.

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Acknowledgements

We thank A. Chau for preparing Fig. 2, M. Hancock, M. Shelley and R. Rosales for discussions, and MIT's Edgerton Center for lending us their high-speed video equipment. J.W.M.B. gratefully acknowledges the financial support of the NSF.

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Correspondence to John W. M. Bush.

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Hu, D., Chan, B. & Bush, J. The hydrodynamics of water strider locomotion. Nature 424, 663–666 (2003). https://doi.org/10.1038/nature01793

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