Influence of Ice Compression on the Wave Current Velocities at the Nonlinear Interaction of Wave Harmonics

A. A. Bukatov

Marine Hydrophysical Institute of RAS, Sevastopol, Russian Federation

e-mail: bukatov.ant@mhi-ras.ru

Abstract

Purpose. The work is aimed at studying the ice compression influence on the components of fluid motion velocity under a floating ice cover in propagation of the wave formed by the nonlinear interaction of wave harmonics.

Methods and Results. Based on the obtained solution of the problem on nonlinear interaction of the progressive surface waves in a finite depth basin with floating and longitudinally compressed elastic ice, analyzed were the distributions of the components of fluid particles motion velocity along the generated wave length depending on the ice characteristics. The impact of thickness, elasticity modulus and compressive force of the ice cover, nonlinearity of the ice vertical acceleration and the amplitude of the second interacting harmonic upon the vertical and horizontal components of the fluid particles motion velocity was studied.

Conclusions. It is established that the compressive force conditions reduction of the phase and the maximum values of the fluid motion velocity components. Change in the sign of the second interacting harmonic amplitude is manifested in a significant profile transformation, and affects the generated perturbation phase at the regard for the nonlinearity of ice vertical acceleration. When the compression force value is fixed, a decrease in the ice cover rigidity results in a noticeable delay of the oscillation phase.

Keywords

nonlinear interaction of waves, flexural-gravity waves, longitudinal compressive force, waves of finite amplitude, motion of fluid particles, ice compression, ice cover

Acknowledgements

The investigation was carried out within the framework of the state task on theme FNNN-2021-0004.

Original russian text

Original Russian Text © A. A. Bukatov, 2023, published in MORSKOY GIDROFIZICHESKIY ZHURNAL, Vol. 39, Iss. 3, pp. 314-327 (2023)

For citation

Bukatov, A.A., 2023. Influence of Ice Compression on the Wave Current Velocities at the Nonlinear Interaction of Wave Harmonics. Physical Oceanography, 30(3), pp. 288-301. doi:10.29039/1573-160X-2023-3-288-301

DOI

10.29039/1573-160X-2023-3-288-301

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