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

Abstract

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.

Submitted to EPL

References in corpus (2)

• Capillary-Gravity Waves Generated by a Sudden Object Motion
• Wave Resistance for Capillary Gravity Waves: Finite Size Effects

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