Capillary-Gravity Waves on Depth-Dependent Currents: Consequences for the Wave Resistance

Details Capillary-Gravity Waves on Depth-Dependent Currents: Consequences for the Wave Resistance Capillary-Gravity Waves on Depth-Dependent Currents: Consequences for the Wave Resistance

2011-04-26

arxiv.org/abs/1104.4909v2

Physics

Condensed Matter

Soft Condensed Matter

Submitted to EPL

Scientific paper

We study theoretically the capillary-gravity waves created at the water-air interface by a small two-dimensional perturbation when a depth-dependent current is initially 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 analyze and discuss in details the behavior of the wave resistance in the particular case of a linear current, a valid approximation for some wind generated currents.

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