No data available.
Please log in to see this content.
You have no subscription access to this content.
No metrics data to plot.
The attempt to load metrics for this article has failed.
The attempt to plot a graph for these metrics has failed.
The full text of this article is not currently available.
Wake angle for surface gravity waves on a finite depth fluid
2.J. Lighthill, Waves in Fluids (Cambridge University Press, 1978).
4.T. H. Havelock, “The propagation of groups of waves in dispersive media, with application to waves on water produced by a travelling disturbance,” Proc. R. Soc. A 81, 398–430 (1908).
5.T. Torsvik, T. Soomere, I. Didenkulova, and A. Sheremet, “Identification of ship wake structures by a time-frequency method,” J. Fluid Mech. 765, 229–251 (2015).
9.A. Barnell and F. Noblesse, “Far-field features of the Kelvin wake,” in Proceedings 16th Symposium Naval Hydrodynamics (National Academy Press, 1986), pp. 18–36.
10.I. Carusotto and G. Rousseaux, “The Cerenkov effect revisited: From swimming ducks to zero modes in gravitational analogues,” in Analogue Gravity Phenomenology (Springer, 2013), pp. 109–144.
11.M. Benzaquen, A. Darmon, and E. Raphaël, “Wake pattern and wave resistance for anisotropic moving disturbances,” Phys. Fluids 26, 092106 (2014).
15.C. Zhang, J. He, Y. Zhu, C.-J. Yang, W. Li, Y. Zhu, M. Lin, and F. Noblesse, “Interference effects on the Kelvin wake of a monohull ship represented via a continuous distribution of sources,” Euro. J. Mech. B: Fluids 51, 27–36 (2015).
17.R. Pethiyagoda, S. W. McCue, T. J. Moroney, and J. M. Back, “Jacobian-free Newton-Krylov methods with GPU acceleration for computing nonlinear ship wave patterns,” J. Comput. Phys. 269, 297–313 (2014).
18.R. Pethiyagoda, S. W. McCue, and T. J. Moroney, “What is the apparent angle of a Kelvin ship wave pattern?,” J. Fluid Mech. 758, 468–485 (2014).
20.J. He, C. Zhang, Y. Zhu, H. Wu, C. J. Yang, F. Noblesse, X. Gu, and W. Li, “Comparison of three simple models of Kelvin’s ship wake,” Euro. J. Mech. B: Fluids 49, 12–19 (2015).
21.J. V. Wehausen and E. V. Laitone, Surface Waves (Springer, 1960).
Article metrics loading...
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 FH
. 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 FH
passes through the critical value FH
= 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.
Full text loading...
Most read this month