Waves on a compressed floating ice plate caused by motion of a dipole in water
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 wate...
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ftusqland:oai:research.usq.edu.au:q5zxz 2023-05-15T16:40:26+02:00 Waves on a compressed floating ice plate caused by motion of a dipole in water Stepanyants, Yury Sturova, Izolda V. 2020 https://research.usq.edu.au/item/q5zxz/waves-on-a-compressed-floating-ice-plate-caused-by-motion-of-a-dipole-in-water https://doi.org/10.1017/jfm.2020.764 unknown https://doi.org/10.1017/jfm.2020.764 Stepanyants, Yury and Sturova, Izolda V. 2020. "Waves on a compressed floating ice plate caused by motion of a dipole in water." Journal of Fluid Mechanics. 907, pp. A7-1. https://doi.org/10.1017/jfm.2020.764 ice sheets ocean processes elastic waves article PeerReviewed 2020 ftusqland https://doi.org/10.1017/jfm.2020.764 2023-02-13T23:32:31Z 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. Article in Journal/Newspaper Ice Sheet University of Southern Queensland: USQ ePrints Journal of Fluid Mechanics 907 |
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Open Polar |
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University of Southern Queensland: USQ ePrints |
op_collection_id |
ftusqland |
language |
unknown |
topic |
ice sheets ocean processes elastic waves |
spellingShingle |
ice sheets ocean processes elastic waves Stepanyants, Yury Sturova, Izolda V. Waves on a compressed floating ice plate caused by motion of a dipole in water |
topic_facet |
ice sheets ocean processes elastic waves |
description |
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. |
format |
Article in Journal/Newspaper |
author |
Stepanyants, Yury Sturova, Izolda V. |
author_facet |
Stepanyants, Yury Sturova, Izolda V. |
author_sort |
Stepanyants, Yury |
title |
Waves on a compressed floating ice plate caused by motion of a dipole in water |
title_short |
Waves on a compressed floating ice plate caused by motion of a dipole in water |
title_full |
Waves on a compressed floating ice plate caused by motion of a dipole in water |
title_fullStr |
Waves on a compressed floating ice plate caused by motion of a dipole in water |
title_full_unstemmed |
Waves on a compressed floating ice plate caused by motion of a dipole in water |
title_sort |
waves on a compressed floating ice plate caused by motion of a dipole in water |
publishDate |
2020 |
url |
https://research.usq.edu.au/item/q5zxz/waves-on-a-compressed-floating-ice-plate-caused-by-motion-of-a-dipole-in-water https://doi.org/10.1017/jfm.2020.764 |
genre |
Ice Sheet |
genre_facet |
Ice Sheet |
op_relation |
https://doi.org/10.1017/jfm.2020.764 Stepanyants, Yury and Sturova, Izolda V. 2020. "Waves on a compressed floating ice plate caused by motion of a dipole in water." Journal of Fluid Mechanics. 907, pp. A7-1. https://doi.org/10.1017/jfm.2020.764 |
op_doi |
https://doi.org/10.1017/jfm.2020.764 |
container_title |
Journal of Fluid Mechanics |
container_volume |
907 |
_version_ |
1766030833226874880 |