Motion of Submerged Body in a Frozen Channel with Compressed Porous Ice

Motion of Submerged Body in a Frozen Channel with Compressed Porous Ice Full article

Journal

Applied Sciences (Switzerland)
ISSN: 2076-3417

Output data

Year: 2024, Volume: 14, Number: 16, Article number : 7226, Pages count : 23 DOI: 10.3390/app14167226

Tags

ice deflections; strains; frozen channel; submerged body; dipole; compression; porosity

Authors

Sibiryakova Tatyana ¹ , Naydenova Kristina ¹ , Serykh Kirill ¹ , Khabakhpasheva Tatyana ^2,3

Affiliations

1	Department of Differential Equations, Altai State University, 656049 Barnaul, Russia
2	Lavrentyev Institute of Hydrodynamics SB RAS, 630090 Novosibirsk, Russia
3	School of Mathematics, University of East Anglia, Norwich NR4 7TJ, UK

The problem of submerged body motion in a frozen channel is considered. The fluid in the channel is assumed to be inviscid and incompressible. Fluid flow is the potential. The ice cover has non-uniform compression along the principal coordinates. The damping of hydroelastic waves generated by the motion of submerged body is modeled by taking into account porosity of ice. The submerged body is modeled as a dipole, the potential of which is determined using mirror images from the channel walls. The main problem of the submerged body motion at constant speed along the central line of the channel is considered. Two subproblems are addressed: comparison of damping effects of the porosity and viscosity of ice and investigation of effects of symmetrically variable ice thickness relative to the central line of the channel. It was found that the most important compressive stress is the stress in the direction of the motion of the submerged body. The speed of the body, which was subcritical for uncompressed ice, may become critical or supercritical. Compressive stresses perpendicular to the direction of motion do not qualitatively change the character of the ice response. These stresses, in combination with compressive stresses along the direction of motion, strengthen the effect of the latter, making the transition from subcritical to supercritical regime faster.

Sibiryakova T. , Naydenova K. , Serykh K. , Khabakhpasheva T.
Motion of Submerged Body in a Frozen Channel with Compressed Porous Ice
Applied Sciences (Switzerland). 2024. V.14. N16. 7226 :1-23. DOI: 10.3390/app14167226 WOS РИНЦ OpenAlex

Submitted:	Apr 23, 2024
Accepted:	Jul 28, 2024
Published print:	Aug 16, 2024

Web of science:	WOS:001305545200001
Elibrary:	68589567
OpenAlex:	W4401634389

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