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  • Journal of Fluid Mechanics, Volume 573
  • February 2007, pp. 211-236

Impulsive fluid forcing and water strider locomotion

  • DOI:
  • Published online: 01 February 2007

This paper presents a study of the global response of a fluid to impulsive and localized forcing; it has been motivated by the recent laboratory experiments on the locomotion of water-walking insects reported in Hu, Chan & Bush (Nature, vol. 424, 2003, p. 663). These insects create both waves and vortices by their rapid leg strokes and it has been a matter of some debate whether either form of motion predominates in the momentum budget. The main result of this paper is to argue that generically both waves and vortices are significant, and that in linear theory they take up the horizontal momentum with share 1/3 and 2/3, respectively.

This generic result, which depends only on the impulsive and localized nature of the forcing, is established using the classical linear impulse theory, with adaptations to weakly compressible flows and flows with a free surface. Additional general comments on experimental techniques for momentum measurement and on the wave emission are given and then the theory is applied in detail to water-walking insects.

Owing to its generality, this kind of result and the methods used to derive it should be applicable to a wider range of wave–vortex problems in the biolocomotion of water-walking animals and elsewhere.

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J. W. M. Bush & D. L. Hu 2006 Walking on water: biolocomotion at the interface. Annu. Rev. Fluid Mech. 38, 339369.

D. L. Hu , B. Chan & J. W. M. Bush 2003 The hydrodynamics of water strider locomotion. Nature 424, 663666.

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S.-M. Sun & J. B. Keller 2001 Capillary-gravity wave drag. Phys. Fluids 13, 21462151.

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Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
  • URL: /core/journals/journal-of-fluid-mechanics
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