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Free surface flows in electrohydrodynamics with a constant vorticity distribution
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Hunt, Matthew and Dutykh, Denys (2021) Free surface flows in electrohydrodynamics with a constant vorticity distribution. Water Waves, 3 . pp. 297-317. doi:10.1007/s42286-020-00043-9 ISSN 2523-367X.
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Official URL: https://doi.org/10.1007/s42286-020-00043-9
Abstract
In 1895, Korteweg and de Vries (KdV), derived their celebrated equation describing the motion of waves of long wavelength in shallow water. In doing so they made a number of quite reasonable assumptions, incompressibility of the water and irrotational fluid. The resulting equation, the celebrated KdV equation, has been shown to be a very reasonable description of real water waves. However there are other phenomena which have an impact on the shape of the wave, that of vorticity and viscosity. This paper examines how a constant vorticity affects the shape of waves in electrohydrodynamics. For constant vorticity, the vertical component of the velocity obeys a Laplace equation and also has the usual lower boundary condition. In making the vertical component of the velocity take central stage, the Burns condition can be thus bypassed.
Item Type: | Journal Article | ||||||||
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Subjects: | Q Science > QC Physics | ||||||||
Divisions: | Faculty of Science, Engineering and Medicine > Engineering > WMG (Formerly the Warwick Manufacturing Group) | ||||||||
Library of Congress Subject Headings (LCSH): | Electrohydrodynamics, Fluid dynamics -- Mathematical models, Vortex-motion | ||||||||
Journal or Publication Title: | Water Waves | ||||||||
Publisher: | Springer Nature Switzerland AG | ||||||||
ISSN: | 2523-367X | ||||||||
Official Date: | July 2021 | ||||||||
Dates: |
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Volume: | 3 | ||||||||
Page Range: | pp. 297-317 | ||||||||
DOI: | 10.1007/s42286-020-00043-9 | ||||||||
Status: | Peer Reviewed | ||||||||
Publication Status: | Published | ||||||||
Access rights to Published version: | Restricted or Subscription Access | ||||||||
Date of first compliant deposit: | 23 September 2020 | ||||||||
Date of first compliant Open Access: | 12 October 2020 | ||||||||
RIOXX Funder/Project Grant: |
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