Waves on a compressed floating ice plate caused by motion of a dipole in water
Article
Article Title | Waves on a compressed floating ice plate caused by motion of a dipole in water |
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ERA Journal ID | 1294 |
Article Category | Article |
Authors | Stepanyants, Yury (Author) and Sturova, Izolda V. (Author) |
Journal Title | Journal of Fluid Mechanics |
Journal Citation | 907, pp. A7-1 |
Article Number | A7 |
Number of Pages | 29 |
Year | 2020 |
Publisher | Cambridge University Press |
Place of Publication | United Kingdom |
ISSN | 0022-1120 |
1469-7645 | |
Digital Object Identifier (DOI) | https://doi.org/10.1017/jfm.2020.764 |
Web Address (URL) | https://www.cambridge.org/core/journals/journal-of-fluid-mechanics/article/waves-on-a-compressed-floating-ice-plate-caused-by-motion-of-a-dipole-in-water/0965B86F55B0DF6EB2CF7B83E2461465 |
Abstract | In the linear approximation, we study wave motions of a compressed elastic ice sheet caused by the motion of a two-dimensional dipole in the water beneath the sheet. The fluid flow is described by the potential theory, while the ice sheet is modelled through a thin elastic plate floating on the water surface. The solution for the vertical displacement of the ice sheet is derived for a transient dipole undergoing arbitrary two-dimensional motion. Three cases are considered in detail when the dipole moves horizontally with a uniform speed at some depth or horizontally oscillates, or moves and oscillates. The formulae for the plate displacement are derived for the fluid of finite depth, but then analysed in detail for the infinitely deep case. We show that the character of the solutions is different in the different domains of the parameter plane and classify the possible cases. Then we calculate the wave patterns on the plate for the different regimes of dipole motion and typical values of plate parameters. The studied problem can be considered as the simplified model of motion of a circular cylinder in a water under an ice cover. In the last section we compare the characteristics of wave motions onsetting in the far-field zone of the flow around a circular cylinder and its dipole approximation and show that the difference in the wave characteristics and force loads for these two cases is small and quickly vanishes when the ice plate thickness increases. In conclusion, we present estimates of amplitudes and wavelengths of wave perturbations for the real oceanic conditions. |
Keywords | ice sheets, ocean processes, elastic waves |
ANZSRC Field of Research 2020 | 490109. Theoretical and applied mechanics |
510399. Classical physics not elsewhere classified | |
Public Notes | Files associated with this item cannot be displayed due to copyright restrictions. |
Byline Affiliations | School of Sciences |
Russian Academy of Sciences, Russia | |
Institution of Origin | University of Southern Queensland |
https://research.usq.edu.au/item/q5zxz/waves-on-a-compressed-floating-ice-plate-caused-by-motion-of-a-dipole-in-water
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