Dipole Oscillations along Principal Coordinates in a Frozen Channel in the Context of Symmetric Linear Thickness of Porous Ice

Dipole Oscillations along Principal Coordinates in a Frozen Channel in the Context of Symmetric Linear Thickness of Porous Ice Full article

Journal

Journal of Marine Science and Engineering
ISSN: 2077-1312

Output data

Year: 2024, Volume: 12, Number: 1, Article number : 198, Pages count : 23 DOI: 10.3390/jmse12010198

Tags

dipole; oscillations; channel; ice plate; porous ice; ice deflections; hydroelastic waves; strains

Authors

Shishmarev Konstantin ¹ , Sibiryakova Tatyana ² , Naydenova Kristina ² , Khabakhpasheva Tatyana ^3,4

Affiliations

1	College of Shipbuilding Engineering, Harbin Engineering University, Harbin 150001, China
2	Department of Differential Equations, Altai State University, 656049 Barnaul, Russia
3	Lavrentyev Institute of Hydrodynamics, Siberian Branch of the Russian Academy of Sciences (SB RAS), 630090 Novosibirsk, Russia
4	School of Mathematics, University of East Anglia, Norwich NR4 7TJ, UK

The problem of periodic oscillations of a dipole, specifically its strength, along the principal axes in a three-dimensional frozen channel is considered. The key points of the problem are taking into account the linear thickness of ice across the channel and ice porosity within Darcy’s law. The fluid in the channel is inviscid and incompressible; the flow is potential. It is expected that the oscillations of a small radius dipole well approximate the oscillations of a small radius sphere at a sufficient depth of immersion of the dipole. It was found that during oscillations along the channel and vertical oscillations, waves are generated in the channel, propagating along the channel with a frequency equal to the frequency of dipole oscillations. These waves decay far from the dipole, and the rate of decay depends on the porosity coefficient.

Shishmarev K. , Sibiryakova T. , Naydenova K. , Khabakhpasheva T.
Dipole Oscillations along Principal Coordinates in a Frozen Channel in the Context of Symmetric Linear Thickness of Porous Ice
Journal of Marine Science and Engineering. 2024. V.12. N1. 198 :1-23. DOI: 10.3390/jmse12010198 WOS Scopus РИНЦ OpenAlex

Submitted:	Dec 23, 2023
Accepted:	Jan 17, 2024
Published print:	Jan 22, 2024

Web of science:	WOS:001151456200001
Scopus:	2-s2.0-85183340120
Elibrary:	65659968
OpenAlex:	W4391099648

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