Velocity of the Wave Currents under the Floating Elastic Ice Formed by Nonlinear Interaction of the Wave Harmonics
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 velocit...
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| Format: | Article |
| Language: | English |
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Federal State Budget Scientific Institution «Marine Hydrophysical Institute of RAS»
2022-02-01
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| Series: | Physical Oceanography |
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| Online Access: | http://physical-oceanography.ru/repository/2022/1/en_202201_01.pdf |
| _version_ | 1797749057213431808 |
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| author | A.A. Bukatov |
| author_facet | A.A. Bukatov |
| author_sort | A.A. Bukatov |
| collection | DOAJ |
| description |
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.
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| first_indexed | 2024-03-12T16:14:02Z |
| format | Article |
| id | doaj.art-ff7b921e073841d3ad471707d0547326 |
| institution | Directory Open Access Journal |
| issn | 1573-160X |
| language | English |
| last_indexed | 2024-03-12T16:14:02Z |
| publishDate | 2022-02-01 |
| publisher | Federal State Budget Scientific Institution «Marine Hydrophysical Institute of RAS» |
| record_format | Article |
| series | Physical Oceanography |
| spelling | doaj.art-ff7b921e073841d3ad471707d05473262023-08-09T08:15:58ZengFederal State Budget Scientific Institution «Marine Hydrophysical Institute of RAS»Physical Oceanography1573-160X2022-02-0129131410.22449/1573-160X-2022-1-3-14Velocity of the Wave Currents under the Floating Elastic Ice Formed by Nonlinear Interaction of the Wave HarmonicsA.A. Bukatov0Marine Hydrophysical Institute of RAS, Sevastopol, Russian Federation 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. http://physical-oceanography.ru/repository/2022/1/en_202201_01.pdfnonlinear interaction of wavesflexural-gravitational waveswaves of finite amplitudemotion of fluid particles |
| spellingShingle | A.A. Bukatov Velocity of the Wave Currents under the Floating Elastic Ice Formed by Nonlinear Interaction of the Wave Harmonics Physical Oceanography nonlinear interaction of waves flexural-gravitational waves waves of finite amplitude motion of fluid particles |
| title | Velocity of the Wave Currents under the Floating Elastic Ice Formed by Nonlinear Interaction of the Wave Harmonics |
| title_full | Velocity of the Wave Currents under the Floating Elastic Ice Formed by Nonlinear Interaction of the Wave Harmonics |
| title_fullStr | Velocity of the Wave Currents under the Floating Elastic Ice Formed by Nonlinear Interaction of the Wave Harmonics |
| title_full_unstemmed | Velocity of the Wave Currents under the Floating Elastic Ice Formed by Nonlinear Interaction of the Wave Harmonics |
| title_short | Velocity of the Wave Currents under the Floating Elastic Ice Formed by Nonlinear Interaction of the Wave Harmonics |
| title_sort | velocity of the wave currents under the floating elastic ice formed by nonlinear interaction of the wave harmonics |
| topic | nonlinear interaction of waves flexural-gravitational waves waves of finite amplitude motion of fluid particles |
| url | http://physical-oceanography.ru/repository/2022/1/en_202201_01.pdf |
| work_keys_str_mv | AT aabukatov velocityofthewavecurrentsunderthefloatingelasticiceformedbynonlinearinteractionofthewaveharmonics |