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Pré-Publication, Document De Travail Année : 2008

On capillary-gravity waves generated by a slow moving object

Résumé

We investigate theoretically and experimentally the capillary-gravity waves created by a small object moving steadily at the water-air interface along a circular trajectory. It is well established that, for straight uniform motion, no steady waves appear at velocities below the minimum phase velocity $c_{min} = 23 \; \rm{cm \cdot s}^{-1}$. We show theoretically that no such velocity threshold exists for a steady circular motion, for which, even at small velocities, a finite wave drag is experienced by the object. This wave drag originates from the emission of a spiral-like wave pattern. Our results are in good agreement with direct experimental observations of the wave pattern created by a circularly moving needle in contact with water. Our study leads to new insights into the problem of animal locomotion at the water-air interface.
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Dates et versions

hal-00144120 , version 1 (30-04-2007)
hal-00144120 , version 2 (01-01-2008)

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Alexei Chepelianskii, Frédéric Chevy, Elie Raphael. On capillary-gravity waves generated by a slow moving object. 2008. ⟨hal-00144120v2⟩
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