Gravity waves on ice-covered water

Gravity waves propagating on the surface of ice‐covered water of finite depth are considered. The ice layer is viewed as a suspension, with an effective viscosity much greater than that of water and a density slightly less than that of water. It is treated as a viscous liquid, and the water beneath...

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Bibliographic Details
Published in:Journal of Geophysical Research 1998-04, Vol.103 (C4), p.7663-7669
Main Author: Keller, Joseph B.
Format: Article
Language:English
Subjects:
Earth, ocean, space
Exact sciences and technology
External geophysics
Marine
Physics of the oceans
Surface waves, tides and sea level. Seiches
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Summary:Gravity waves propagating on the surface of ice‐covered water of finite depth are considered. The ice layer is viewed as a suspension, with an effective viscosity much greater than that of water and a density slightly less than that of water. It is treated as a viscous liquid, and the water beneath it is treated as an inviscid liquid. The linearized motion of gravity waves is analyzed for this two‐layer model, and the dispersion equation is obtained. It is solved numerically for waves of any length. It is also simplified for waves short compared to the layer thickness and for waves long compared to the layer thickness. This equation yields dispersion and strong attenuation, both of which depend upon the effective viscosity of the suspension.
ISSN:0148-0227
2169-9275
2156-2202
2169-9291
DOI:10.1029/97JC02966