Negative energy waves in shear flow with a linear profile
Article
Article Title | Negative energy waves in shear flow with a linear profile |
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ERA Journal ID | 1288 |
Article Category | Article |
Authors | Maissa, Philippe (Author), Rousseaux, Germain (Author) and Stepanyants, Yury (Author) |
Journal Title | European Journal of Mechanics B: Fluids |
Journal Citation | 56, pp. 192-199 |
Number of Pages | 8 |
Year | 2016 |
Place of Publication | France |
ISSN | 0997-7546 |
1873-7390 | |
Digital Object Identifier (DOI) | https://doi.org/10.1016/j.euromechflu.2016.01.003 |
Web Address (URL) | http://www.sciencedirect.com/science/article/pii/S0997754615300686 |
Abstract | We present a derivation of the time averaged potential and kinetic energies for small-amplitude surface waves on a shear flow with constant vorticity. The effect of surface tension is also taken into consideration. It is demonstrated that the virial theorem of the energy equipartition between the potential and kinetic components is not valid in general for waves on a shear flow. We also show that waves with a negative energy may exist in a shear flow, and we find the condition for existence of such waves. |
Keywords | wave energy; shear flow; vorticity; surface wave; negative energy |
ANZSRC Field of Research 2020 | 401207. Fundamental and theoretical fluid dynamics |
490109. Theoretical and applied mechanics | |
Public Notes | Files associated with this item cannot be displayed due to copyright restrictions. |
Byline Affiliations | University of Nice Sophia Antipolis, France |
University of Poitiers, France | |
School of Agricultural, Computational and Environmental Sciences | |
Institution of Origin | University of Southern Queensland |
https://research.usq.edu.au/item/q33z7/negative-energy-waves-in-shear-flow-with-a-linear-profile
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