Equation for ship wave crests in the entire range of water depths SCIE SCOPUS

Cited 7 time in WEB OF SCIENCE Cited 8 time in Scopus
Title
Equation for ship wave crests in the entire range of water depths
Author(s)
Lee, Byeong Wook; Lee, Changhoon
Alternative Author(s)
이병욱
Publication Year
2019-11
Abstract
An equation for ship wave crests y/x in the entire range of water depths is developed using the linear dispersion relation. In deep water, the developed equation is reduced to the equation of Kelvin (1906). The locations of ship wave crests in the x- and y-directions are obtained using a dimensionless constant C. The wave ray angle theta(c) at the cusp locus is determined using the condition that theta(c) is maximal at the cusp locus and the cusp locus angle is determined as alpha(c) = -tan(-1)(y/x)(max). Numerical experiments are conducted using the FLOW-3D to simulate ship wave propagation. The cusp locus angles of the FLOW-3D are similar to both those of the present theory and Havelock (1908) theory in the entire range of the Froude number. Both the present theory and the FLOW-3D yield that, with the increase of ship speed, the Froude number increases and does the wavelength. For the Froude number equal to or greater than unity, the wavelength becomes infinitely large and the transverse waves disappear. The wavelengths of the FLOW-3D are slightly smaller than those of the present theory because the FLOW-3D considers the decrease of wavelength due to energy dissipation which happens because of viscosity of water and turbulence of high-speed particle velocities.
ISSN
0378-3839
URI
https://sciwatch.kiost.ac.kr/handle/2020.kiost/38841
DOI
10.1016/j.coastaleng.2019.103542
Bibliographic Citation
COASTAL ENGINEERING, v.153, 2019
Publisher
ELSEVIER
Keywords
Ship wave crests; Cusp locus angle; Entire range of water depths; Theoretical solution; Numerical experiment
Type
Article
Language
English
Document Type
Article
Publisher
ELSEVIER
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