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Effect of the viscoelasticity of an ice cover on wave resistance and lift force experienced by Joubert submarine

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Abstract

The article touches upon an unsteady rectilinear motion of a submarine in a liquid under an ice cover. The ice cover is modeled as a viscoelastic plate. The viscoelastic properties of the ice are described using the Kelvin–Voigt model. The fluid is assumed to be inviscid and incompressible, and its motion is potential. Free surface fluid flow past system of one source and several sinks is used to simulate the motion of Joubert submarine. The solution of this problem is constructed analytically using the Fourier and Laplace transforms. Numerical results for the wave resistance and lift force acting on Joubert submarine are presented for different ice thicknesses, length-to-diameter ratio of a submarine, and the speed of the uniform motion. It is demonstrated that the use of a viscoelastic model for an ice cover results in a significant decrease in the maximum values of wave resistance and lift coefficients compared to the scenario of using an elastic plate model. The results indicate that when a submarine moves at realistic speeds (Fr < 0.7) under a thick ice cover (thicker than a meter), the wave resistance is less than for the same submarine moving under a free surface. The lift force for moving at these speeds under a thick ice cover is directed upwards.

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Acknowledgements

The reported study was funded by RSF (Russian Science Foundation) according to the research project No. 21-19-00118.

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Authors and Affiliations

  1. Sholom-Aleichem Priamursky State University, Birobidzhan, Russia

    Alexandra V. Pogorelova & Vitali L. Zemlyak

  2. Institute of Machining and Metallurgy FEB RAS, Komsomolsk-Na-Amure, Russia

    Victor M. Kozin

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  1. Alexandra V. Pogorelova
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  2. Vitali L. Zemlyak
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Correspondence to Alexandra V. Pogorelova.

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Pogorelova, A.V., Zemlyak, V.L. & Kozin, V.M. Effect of the viscoelasticity of an ice cover on wave resistance and lift force experienced by Joubert submarine. Acta Mech 234, 2399–2411 (2023). https://doi.org/10.1007/s00707-023-03500-x

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