Wake angle for surface gravity waves on a finite depth fluid

Pethiyagoda, Ravindra, McCue, Scott W., & Moroney, Timothy J. (2015) Wake angle for surface gravity waves on a finite depth fluid. Physics of Fluids, 27(6), 061701.

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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 $F_H$. 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 $F_H$ passes through the critical value $F_H=1$. For shallow water, the two angles tend to follow each other more closely, which leads to very large apparent wake angles for certain regimes.

Impact and interest:

2 citations in Scopus
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2 citations in Web of Science®

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12 since deposited on 14 Jun 2015
3 in the past twelve months

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ID Code: 84213
Item Type: Journal Article
Refereed: Yes
Keywords: ship waves, gravity waves, surface waves, wake angle, Kelvin angle, free surface flow, Fourier transform
DOI: 10.1063/1.4921918
ISSN: 1070-6631
Subjects: Australian and New Zealand Standard Research Classification > MATHEMATICAL SCIENCES (010000) > APPLIED MATHEMATICS (010200) > Theoretical and Applied Mechanics (010207)
Divisions: Current > QUT Faculties and Divisions > Science & Engineering Faculty
Past > Schools > Mathematical Sciences
Funding:
Copyright Owner: Copyright 2015 AIP Publishing LLC
Copyright Statement: The following article appeared in Phys. Fluids 27, 061701 (2015) and may be found at http://dx.doi.org/10.1063/1.4921918
Deposited On: 14 Jun 2015 22:59
Last Modified: 21 Jun 2015 05:45

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