Capillary-gravity waves: a "fixed-depth" analysis

TL;DR

This paper analyzes how a fixed-depth immersed object generates capillary-gravity waves and how this affects wave resistance, aligning with recent experimental observations.

Contribution

It provides a theoretical analysis of wave resistance at fixed immersion depth, extending understanding of wave generation by moving objects.

Findings

Wave resistance varies continuously with velocity.

Results align qualitatively with recent experiments.

Provides insight into wave generation at fixed depths.

Abstract

We study the onset of the wave-resistance due to the generation of capillary-gravity waves by a partially immersed moving object in the case where the object is hold at a fixed immersion depth. We show that, in this case, the wave resistance varies continuously with the velocity, in qualitative accordance with recent experiments by Burghelea et al. (Phys. Rev. Lett. 86, 2557 (2001)).