Ship wakes: Kelvin or Mach angle?

نویسندگان

  • Marc Rabaud
  • Frédéric Moisy
چکیده

From the analysis of a set of airborne images of ship wakes, we show that the wake angles decrease as U(-1) at large velocities, in a way similar to the Mach cone for supersonic airplanes. This previously unnoticed Mach-like regime is in contradiction with the celebrated Kelvin prediction of a constant angle of 19.47° independent of the ship's speed. We propose here a model, confirmed by numerical simulations, in which the finite size of the disturbance explains this transition between the Kelvin and Mach regimes at a Froude number Fr=U/√[gL]~/=0.5, where L is the hull ship length.

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عنوان ژورنال:
  • Physical review letters

دوره 110 21  شماره 

صفحات  -

تاریخ انتشار 2013