Capillary-gravity waves on depth-dependent currents: Consequences for the wave resistance
Laboratoire PCT - UMR Gulliver CNRS 7083, ESPCI - 10 rue Vauquelin, 75005 Paris, France, EU
Accepted: 25 November 2011
We study theoretically the capillary-gravity waves created at the water-air interface by a small two-dimensional perturbation in the frequently encountered case where a depth-dependent current is present in the fluid. Assuming linear wave theory, we derive a general expression of the wave resistance experienced by the perturbation as a function of the current profile in the case of an inviscid fluid. We then illustrate the use of this expression in the case of constant vorticity.
PACS: 47.35.-i – Hydrodynamic waves / 68.03.-g – Gas-liquid and vacuum-liquid interfaces
© EPLA, 2012