Negative energy waves in shear flow with a linear profile

Maissa, Philippe and Rousseaux, Germain and Stepanyants, Yury (2016) Negative energy waves in shear flow with a linear profile. European Journal of Mechanics B: Fluids, 56. pp. 192-199. ISSN 0997-7546


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.

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Item Type: Article (Commonwealth Reporting Category C)
Refereed: Yes
Item Status: Live Archive
Additional Information: Files associated with this item cannot be displayed due to copyright restrictions.
Faculty / Department / School: Current - Faculty of Health, Engineering and Sciences - School of Agricultural, Computational and Environmental Sciences
Date Deposited: 04 Jul 2016 00:14
Last Modified: 20 Mar 2017 04:28
Uncontrolled Keywords: wave energy; shear flow; vorticity; surface wave; negative energy
Fields of Research : 02 Physical Sciences > 0203 Classical Physics > 020303 Fluid Physics
01 Mathematical Sciences > 0102 Applied Mathematics > 010207 Theoretical and Applied Mechanics
Socio-Economic Objective: E Expanding Knowledge > 97 Expanding Knowledge > 970102 Expanding Knowledge in the Physical Sciences
E Expanding Knowledge > 97 Expanding Knowledge > 970101 Expanding Knowledge in the Mathematical Sciences
Identification Number or DOI: 10.1016/j.euromechflu.2016.01.003

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