Gravity-Capillary Lumps Generated by a Moving Pressure Source
Name
Diorio-2009-Gravity-Capillary Lumps Generated by a Moving Pressure Source.pdf
Size
821.06 KB
Format
Adobe PDF
Checksum (MD5)
7b86bd231efa1ca168341ff0b3584d3b
Author(s)
Diorio, James D.
Cho, Yeunwoo
Duncan, James H.
Akylas, Triantaphyllos R.
Date Issued
September 2009
Journal
Physical Review Letters
Publisher
American Physical Society
Citation
Diorio, James et al. “Gravity-Capillary Lumps Generated by a Moving Pressure Source.” Physical Review Letters 103.21 (2009): 214502. © 2009 The American Physical Society
Version
Final published version
Abstract
The nonlinear wave pattern generated by a localized pressure source moving over a liquid free surface
at speeds below the minimum phase speed (c [subscript min]) of linear gravity-capillary waves is investigated
experimentally and theoretically. At these speeds, freely propagating fully localized solitary waves, or
‘‘lumps,’’ are known theoretically to be possible. For pressure-source speeds far below c[subscript min], the surface
response is a local depression similar to the case with no forward speed. As the speed is increased,
a critical value is reached c[subscript c]≈0.9c[subscript min] where there is an abrupt transition to a wavelike state that features
a steady disturbance similar to a steep lump behind the pressure forcing. As the speed approaches c[subscript min], a
second transition is found; the new state is unsteady and is characterized by continuous shedding of lumps
from the tips of a V-shaped pattern.
MIT Department
Massachusetts Institute of Technology. Department of Mechanical Engineering
Terms of Use
Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
Persistent DSpace Link
DOI of Published Version
http://dx.doi.org/10.1103/PhysRevLett.103.214502
