Hydrodynamic Forces Exerting on an Oscillating Cylinder under Translational Motion in Water Covered by Compressed Ice
1
School of Sciences, University of Southern Queensland, Toowoomba, QLD 4350, Australia
2
Department of Applied Mathematics, Nizhny Novgorod State Technical University, 603950 Nizhny Novgorod, Russia
3
Lavrentyev Institute of Hydrodynamics of Siberian Branch of Russian Academy of Sciences, 630090 Novosibirsk, Russia
*
Author to whom correspondence should be addressed.
Academic Editor: Marcel J. F. Stive
Water 2021, 13(6), 822; https://doi.org/10.3390/w13060822
Received: 20 January 2021
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Revised: 10 March 2021
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Accepted: 10 March 2021
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Published: 17 March 2021
(This article belongs to the Special Issue Ocean Wave Interaction with Ice Cover and Other Flexible and Porous Structures)
This paper presents the calculation of the hydrodynamic forces exerted on an oscillating circular cylinder when it moves perpendicular to its axis in infinitely deep water covered by compressed ice. The cylinder can oscillate both horizontally and vertically in the course of its translational motion. In the linear approximation, a solution is found for the steady wave motion generated by the cylinder within the hydrodynamic set of equations for the incompressible ideal fluid. It is shown that, depending on the rate of ice compression, both normal and anomalous dispersion can occur in the system. In the latter case, the group velocity can be opposite to the phase velocity in a certain range of wavenumbers. The dependences of the hydrodynamic loads exerted on the cylinder (the added mass, damping coefficients, wave resistance and lift force) on the translational velocity and frequency of oscillation were studied. It was shown that there is a possibility of the appearance of negative values for the damping coefficients at the relatively big cylinder velocity; then, the wave resistance decreases with the increase in cylinder velocity. The theoretical results were underpinned by the numerical calculations for the real parameters of ice and cylinder motion.
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Keywords:
ideal fluid; deep water; ice cover; moving cylinder; hydrodynamic load; added mass; wave resistance; damping coefficient
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MDPI and ACS Style
Stepanyants, Y.; Sturova, I. Hydrodynamic Forces Exerting on an Oscillating Cylinder under Translational Motion in Water Covered by Compressed Ice. Water 2021, 13, 822. https://doi.org/10.3390/w13060822
AMA Style
Stepanyants Y, Sturova I. Hydrodynamic Forces Exerting on an Oscillating Cylinder under Translational Motion in Water Covered by Compressed Ice. Water. 2021; 13(6):822. https://doi.org/10.3390/w13060822
Chicago/Turabian StyleStepanyants, Yury, and Izolda Sturova. 2021. "Hydrodynamic Forces Exerting on an Oscillating Cylinder under Translational Motion in Water Covered by Compressed Ice" Water 13, no. 6: 822. https://doi.org/10.3390/w13060822
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