- Title
- Blocking dynamics of capillary-gravity waves in a two-layer fluid in the presence of surface and interfacial tensions
- Creator
- Boral, S.; Das, S.; Sahoo, T.; Meylan, Michael H.
- Relation
- Meccanica Vol. 57, Issue 6, p. 1307-1335
- Publisher Link
- http://dx.doi.org/10.1007/s11012-022-01495-8
- Publisher
- Springer
- Resource Type
- journal article
- Date
- 2022
- Description
- In the present study, capillary-gravity wave blocking in a two-layer fluid in the presence of surface and interfacial tensions are analyzed under the assumption of the linearized theory of water waves. In the presence of surface and interfacial tensions, two propagating capillary-gravity wave modes exist, namely barotropic (surface) and baroclinic (internal) modes. However, the inclusion of an opposing current often leads to the vanishing of the group velocity for two different wavenumbers, which are referred to as primary (high frequency) and secondary (low frequency) blocking points within which wave energy flux becomes negative. Moreover, within the primary and secondary blocking points, there exist four/six propagating wavenumbers which depend upon the current speed and frequency. For specific values of opposing current and stratification ratio, both phase and group velocities vanish for the same wavenumber. Beyond that limit, the phase velocity becomes negative, leading to negative energy waves in both surface and internal modes or in one mode. The occurrences of wave blocking and negative energy waves are demonstrated for the internal waves when an upper layer fluid moves over the lower layer fluid in a two-layer system under the deepwater approximation. In addition, the occurrences of Kelvin–Helmholtz instability in the internal mode and analogous dead water effect for capillary-gravity waves in a two-layer fluid are demonstrated. Finally, a few theoretically obtained results related to blocking dynamics are validated using a time-domain simulation.
- Subject
- surface and interfacial tensions; capillary-gravity wave blocking; multiple propagating wave modes; negative energy wave; Kelvin-Helmholtz instability; dead water analogue
- Identifier
- http://hdl.handle.net/1959.13/1464435
- Identifier
- uon:46996
- Identifier
- ISSN:0025-6455
- Language
- eng
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