Velocity of the Wave Currents under the Floating Elastic Ice Formed by Nonlinear Interaction of the Wave Harmonics

A. A. Bukatov

Marine Hydrophysical Institute of RAS, Sevastopol, Russian Federation

e-mail: newisland@list.ru

Abstract

Purpose. The aim of the paper is to study dependence of the homogeneous fluid movement velocity (moving in the direction of wave propagation and formed by nonlinear interaction of the wave harmonics) upon the characteristics of the ice cover.

Methods and Results. Based on the movement velocity potential of the fluid of finite depth obtained in a form of an asymptotic expansion up to the values of the third order of smallness, analyzed was the velocity of fluid particles movement under the floating elastic ice at nonlinear interaction of the wave harmonics. Influence of the ice cover thickness and elasticity module, nonlinearity of the ice vertical acceleration, and the amplitude of the second interacting harmonic upon the components of the orbital velocity of the fluid particles movement under the floating ice was studied.

Conclusions. It is shown that the influence of nonlinearity of the vertical displacements’ acceleration of floating ice upon the components of the fluid movement velocity is manifested in an increase of the phase shift. A change of a sign of the second interacting harmonic results in transformation of the profiles and decrease of the phase. Growth of the Young’s modulus value is manifested in a noticeable increase of the phase shift and in a weak increase of the maximum values of the fluid movement velocity components as compared to the case when there is no ice.

Keywords

nonlinear interaction of waves, flexural-gravitational waves, waves of finite amplitude, motion of fluid particles

Acknowledgements

The investigation was carried out within the framework of the state task on theme No. 0555-2021-0004.

Original russian text

Original Russian Text © A. A. Bukatov, 2022, published in MORSKOY GIDROFIZICHESKIY ZHURNAL, Vol. 38, Iss. 1, pp. 5-17 (2022)

For citation

Bukatov, A.A., 2022. Velocity of the Wave Currents under the Floating Elastic Ice Formed by Nonlinear Interaction of the Wave Harmonics. Physical Oceanography, 29(1), pp. 3-14. doi:10.22449/1573-160X-2022-1-3-14

DOI

10.22449/1573-160X-2022-1-3-14

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