The Barotropic Instability of the Oceanic Jet Currents

Alexander Alekseyevich Solovyev; Dmitry Alexandrovich Solovyev

doi:doi:10.11648/j.hyd.20170505.13

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The Barotropic Instability of the Oceanic Jet Currents

Alexander Alekseyevich Solovyev, Dmitry Alexandrovich Solovyev

Published in Hydrology (Volume 5, Issue 5)

Received: 21 February 2017 Accepted: 28 March 2017 Published: 1 November 2017

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Abstract

In this article we present the results of the laboratory experiments with shift currents in the homogenous shallow water generated by differentially rotating elements of the vessel bottom: central axisymmetric disk and outer coupled rings. Based on the experimental results, we explain the generation of vortex rings due to the development of barothropic or shift instability of currents. We show that the surface of the differentially rotating liquid in the horizontal rate shift zone creates the conditions for generating chains of vortices rotating clockwise. When changing the values of rate shift and the rotation rate of the whole system, the formation of modes of instability of vortex structures is observed, the conditions for which were quantified on the laboratory current stability diagram in Rossby and Ekman numbers. To interpret the experimental data we considered the solutions of the equations for quasi-two-dimensional geophysical currents in the form of elementary waves of the current function disturbance. We estimated the parameters of the perturbations development at the meanders of the different parts of Gulf Stream using the calculation of the increment of experimental curves for neutral stability. The evaluation results provide a basis for the development of realistic approaches to understanding the processes of generation and evolution of synoptic vortices in the meanders of intense oceanic jet currents.

Published in	Hydrology (Volume 5, Issue 5)
DOI	10.11648/j.hyd.20170505.13
Page(s)	77-81
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Jet Currents in the Ocean, Barotropic Instability, Modeling of Currents, Laboratory Experiment

References

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[2]	A. Monin and G. Zhikharev, “Oceanic Vortices,” UFN, vol. 5, no. 160, pp. 1–47, 1990.
[3]	V. V. Alekseev, S. V. Kisileva, and S. S. Lappo, Laboratory models of the physical processes in the atmosphere and ocean. Moscow: Nauka, 2005.
[4]	Ø. Thiem, J. Berntsen, and B. Gjevik, “Development of eddies in an idealised shelf slope area due to an along slope barotropic jet,” Cont. Shelf Res., vol. 26, no. 12, pp. 1481–1495, 2006.
[5]	K. Wyrtki, L. Magaard, and J. Hager, “Eddy energy in the oceans,” J. Geophys. Res., vol. 81, no. 15, pp. 2641–2646, 1976.
[6]	K. N. Fedorov, The physical nature and structure of oceanic fronts. Leningrad: Gidrometeoizdat, 1983.
[7]	V. M. Kamenkovich, M. N. Koshlyakov, and A. S. Monin, Synoptic eddies in the ocean. Leningrad: Gidrometeoizdat, 1982.
[8]	G. Stommel, Gulf Stream: Physical And Dynamical Description. Moscow: Inostrannaya Literatura, 1963.
[9]	F. Dolzhanskiy, V. Krymov, and D. Manin, “Stability And Vortice Structures of the Quazi-two-dimensional Shift Currents,” UFN, vol. 7, no. 160, pp. 1–47, 1990.
[10]	H. Greenspen, Theory of Rotating Fluids. Leningrad: Gidrometeoizdat, 1973.
[11]	Y. Zhang and Y. D. Afanasyev, “Baroclinic turbulence on the polar β-plane in the rotating tank: Down to submesoscale,” Ocean Model., vol. 107, pp. 151–160, 2016.
[12]	V. M. Lushin and C. C. Lappo, “Geohydraulic model,” А. с. 647572, 1979.
[13]	D. Soloviev, A. Soloviev, and K. Pavlovskiy, “Diagram of the Wave Stability in the Differentially Rotating Shallow Water,” in Currents And Structures in Fluids. Proceedings of the International Conference., 2005, pp. 42–44.
[14]	T. Lee and P. Cornillon, “Propagation of Gulf Stream meanders,” J. Phys. Ocean., vol. 26, pp. 225–241, 1996.

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APA Style

Alexander Alekseyevich Solovyev, Dmitry Alexandrovich Solovyev. (2017). The Barotropic Instability of the Oceanic Jet Currents. Hydrology, 5(5), 77-81. https://doi.org/10.11648/j.hyd.20170505.13

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ACS Style

Alexander Alekseyevich Solovyev; Dmitry Alexandrovich Solovyev. The Barotropic Instability of the Oceanic Jet Currents. Hydrology. 2017, 5(5), 77-81. doi: 10.11648/j.hyd.20170505.13

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AMA Style

Alexander Alekseyevich Solovyev, Dmitry Alexandrovich Solovyev. The Barotropic Instability of the Oceanic Jet Currents. Hydrology. 2017;5(5):77-81. doi: 10.11648/j.hyd.20170505.13

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@article{10.11648/j.hyd.20170505.13,
  author = {Alexander Alekseyevich Solovyev and Dmitry Alexandrovich Solovyev},
  title = {The Barotropic Instability of the Oceanic Jet Currents},
  journal = {Hydrology},
  volume = {5},
  number = {5},
  pages = {77-81},
  doi = {10.11648/j.hyd.20170505.13},
  url = {https://doi.org/10.11648/j.hyd.20170505.13},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.hyd.20170505.13},
  abstract = {In this article we present the results of the laboratory experiments with shift currents in the homogenous shallow water generated by differentially rotating elements of the vessel bottom: central axisymmetric disk and outer coupled rings. Based on the experimental results, we explain the generation of vortex rings due to the development of barothropic or shift instability of currents. We show that the surface of the differentially rotating liquid in the horizontal rate shift zone creates the conditions for generating chains of vortices rotating clockwise. When changing the values of rate shift and the rotation rate of the whole system, the formation of modes of instability of vortex structures is observed, the conditions for which were quantified on the laboratory current stability diagram in Rossby and Ekman numbers. To interpret the experimental data we considered the solutions of the equations for quasi-two-dimensional geophysical currents in the form of elementary waves of the current function disturbance. We estimated the parameters of the perturbations development at the meanders of the different parts of Gulf Stream using the calculation of the increment of experimental curves for neutral stability. The evaluation results provide a basis for the development of realistic approaches to understanding the processes of generation and evolution of synoptic vortices in the meanders of intense oceanic jet currents.},
 year = {2017}
}

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TY  - JOUR
T1  - The Barotropic Instability of the Oceanic Jet Currents
AU  - Alexander Alekseyevich Solovyev
AU  - Dmitry Alexandrovich Solovyev
Y1  - 2017/11/01
PY  - 2017
N1  - https://doi.org/10.11648/j.hyd.20170505.13
DO  - 10.11648/j.hyd.20170505.13
T2  - Hydrology
JF  - Hydrology
JO  - Hydrology
SP  - 77
EP  - 81
PB  - Science Publishing Group
SN  - 2330-7617
UR  - https://doi.org/10.11648/j.hyd.20170505.13
AB  - In this article we present the results of the laboratory experiments with shift currents in the homogenous shallow water generated by differentially rotating elements of the vessel bottom: central axisymmetric disk and outer coupled rings. Based on the experimental results, we explain the generation of vortex rings due to the development of barothropic or shift instability of currents. We show that the surface of the differentially rotating liquid in the horizontal rate shift zone creates the conditions for generating chains of vortices rotating clockwise. When changing the values of rate shift and the rotation rate of the whole system, the formation of modes of instability of vortex structures is observed, the conditions for which were quantified on the laboratory current stability diagram in Rossby and Ekman numbers. To interpret the experimental data we considered the solutions of the equations for quasi-two-dimensional geophysical currents in the form of elementary waves of the current function disturbance. We estimated the parameters of the perturbations development at the meanders of the different parts of Gulf Stream using the calculation of the increment of experimental curves for neutral stability. The evaluation results provide a basis for the development of realistic approaches to understanding the processes of generation and evolution of synoptic vortices in the meanders of intense oceanic jet currents.
VL  - 5
IS  - 5
ER  -

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Author Information

Alexander Alekseyevich Solovyev

Department of Geography, M. V. Lomonosov Moscow State University, Moscow, Russia
Dmitry Alexandrovich Solovyev

Sea-Air Interaction and Climate Laboratory, P. P. Shirshov Institute of Oceanology RAS, Moscow, Russia

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APA Style

Alexander Alekseyevich Solovyev, Dmitry Alexandrovich Solovyev. (2017). The Barotropic Instability of the Oceanic Jet Currents. Hydrology, 5(5), 77-81. https://doi.org/10.11648/j.hyd.20170505.13

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ACS Style

Alexander Alekseyevich Solovyev; Dmitry Alexandrovich Solovyev. The Barotropic Instability of the Oceanic Jet Currents. Hydrology. 2017, 5(5), 77-81. doi: 10.11648/j.hyd.20170505.13

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AMA Style

Alexander Alekseyevich Solovyev, Dmitry Alexandrovich Solovyev. The Barotropic Instability of the Oceanic Jet Currents. Hydrology. 2017;5(5):77-81. doi: 10.11648/j.hyd.20170505.13

Copy | Download

@article{10.11648/j.hyd.20170505.13,
  author = {Alexander Alekseyevich Solovyev and Dmitry Alexandrovich Solovyev},
  title = {The Barotropic Instability of the Oceanic Jet Currents},
  journal = {Hydrology},
  volume = {5},
  number = {5},
  pages = {77-81},
  doi = {10.11648/j.hyd.20170505.13},
  url = {https://doi.org/10.11648/j.hyd.20170505.13},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.hyd.20170505.13},
  abstract = {In this article we present the results of the laboratory experiments with shift currents in the homogenous shallow water generated by differentially rotating elements of the vessel bottom: central axisymmetric disk and outer coupled rings. Based on the experimental results, we explain the generation of vortex rings due to the development of barothropic or shift instability of currents. We show that the surface of the differentially rotating liquid in the horizontal rate shift zone creates the conditions for generating chains of vortices rotating clockwise. When changing the values of rate shift and the rotation rate of the whole system, the formation of modes of instability of vortex structures is observed, the conditions for which were quantified on the laboratory current stability diagram in Rossby and Ekman numbers. To interpret the experimental data we considered the solutions of the equations for quasi-two-dimensional geophysical currents in the form of elementary waves of the current function disturbance. We estimated the parameters of the perturbations development at the meanders of the different parts of Gulf Stream using the calculation of the increment of experimental curves for neutral stability. The evaluation results provide a basis for the development of realistic approaches to understanding the processes of generation and evolution of synoptic vortices in the meanders of intense oceanic jet currents.},
 year = {2017}
}

Copy | Download

TY  - JOUR
T1  - The Barotropic Instability of the Oceanic Jet Currents
AU  - Alexander Alekseyevich Solovyev
AU  - Dmitry Alexandrovich Solovyev
Y1  - 2017/11/01
PY  - 2017
N1  - https://doi.org/10.11648/j.hyd.20170505.13
DO  - 10.11648/j.hyd.20170505.13
T2  - Hydrology
JF  - Hydrology
JO  - Hydrology
SP  - 77
EP  - 81
PB  - Science Publishing Group
SN  - 2330-7617
UR  - https://doi.org/10.11648/j.hyd.20170505.13
AB  - In this article we present the results of the laboratory experiments with shift currents in the homogenous shallow water generated by differentially rotating elements of the vessel bottom: central axisymmetric disk and outer coupled rings. Based on the experimental results, we explain the generation of vortex rings due to the development of barothropic or shift instability of currents. We show that the surface of the differentially rotating liquid in the horizontal rate shift zone creates the conditions for generating chains of vortices rotating clockwise. When changing the values of rate shift and the rotation rate of the whole system, the formation of modes of instability of vortex structures is observed, the conditions for which were quantified on the laboratory current stability diagram in Rossby and Ekman numbers. To interpret the experimental data we considered the solutions of the equations for quasi-two-dimensional geophysical currents in the form of elementary waves of the current function disturbance. We estimated the parameters of the perturbations development at the meanders of the different parts of Gulf Stream using the calculation of the increment of experimental curves for neutral stability. The evaluation results provide a basis for the development of realistic approaches to understanding the processes of generation and evolution of synoptic vortices in the meanders of intense oceanic jet currents.
VL  - 5
IS  - 5
ER  -

Copy | Download