Two-dimensional gravity-capillary solitary waveson deep water: generation and transverse instability

Cited 2 time in webofscience Cited 0 time in scopus
  • Hit : 172
  • Download : 0
Two-dimensional (2-D) gravity capillary solitary waves are generated using a moving pressure jet from a 2-D narrow slit as a forcing onto the surface of deep water. The forcing moves horizontally over the surface of the deep water at speeds close to the minimum phase speed c(min) = 23 cm s(-1). Four different states are observed according to the forcing speed. At relatively low speeds below c(min), small-amplitude depressions are observed and they move steadily just below the moving forcing. As the forcing speed increases towards c(min), nonlinear 2-D gravity capillary solitary waves are observed, and they move steadily behind the moving forcing. When the forcing speed is very close to c(min) periodic shedding of a 2-D local depression is observed behind the moving forcing. Finally, at relatively high speeds above c(min) a pair of short and long linear waves is observed, respectively ahead of and behind the moving forcing. In addition, we observe the transverse instability of free 2-D gravity capillary solitary waves and, further, the resultant formation of three-dimensional gravity capillary solitary waves. These experimental observations are compared with numerical results based on a model equation that admits gravity capillary solitary wave solutions near c(min). They agree with each other very well. In particular, based on a linear stability analysis, we give a theoretical proof for the transverse instability of the 2-D gravity capillary solitary waves on deep water.
Publisher
CAMBRIDGE UNIV PRESS
Issue Date
2018-01
Language
English
Article Type
Article
Keywords

FREE-SURFACE FLOWS; ENVELOPE SOLITONS; EQUATION; LUMPS; MODEL

Citation

JOURNAL OF FLUID MECHANICS, v.834, pp.92 - 124

ISSN
0022-1120
DOI
10.1017/jfm.2017.740
URI
http://hdl.handle.net/10203/228603
Appears in Collection
ME-Journal Papers(저널논문)
Files in This Item
There are no files associated with this item.
This item is cited by other documents in WoS
⊙ Detail Information in WoSⓡ Click to see webofscience_button
⊙ Cited 2 items in WoS Click to see citing articles in records_button

qr_code

  • mendeley

    citeulike


rss_1.0 rss_2.0 atom_1.0