English

Wake angle for surface gravity waves on a finite depth fluid

Fluid Dynamics 2015-06-16 v1

Abstract

Linear water wave theory suggests that wave patterns caused by a steadily moving disturbance are contained within a wedge whose half-angle depends on the depth-based Froude number FHF_H. For the problem of flow past an axisymmetric pressure distribution in a finite-depth channel, we report on the apparent angle of the wake, which is the angle of maximum peaks. For moderately deep channels, the dependence of the apparent wake angle on the Froude number is very different to the wedge angle, and varies smoothly as FHF_H passes through the critical value FH=1F_H=1. For shallow water, the two angles tend to follow each other more closely, which leads to very large apparent wake angles for certain regimes.

Keywords

Cite

@article{arxiv.1505.04336,
  title  = {Wake angle for surface gravity waves on a finite depth fluid},
  author = {Ravindra Pethiyagoda and Scott W. McCue and Timothy J. Moroney},
  journal= {arXiv preprint arXiv:1505.04336},
  year   = {2015}
}

Comments

7 pages, 4 figures, accepted for publication by Physics of Fluids

R2 v1 2026-06-22T09:35:38.955Z