Fluid flow excited by inertial waves in a rotating annulus with a trapezoidal cross section is experimentally investigated. The forcing is introduced by the precession of a flat annular lid bounding the cavity. Such a setup allows to investigate interactions between inertial waves and zonal flows in the presence of equivalent topographic beta-effect, and its dynamic behavior under weak and strong forcing is experimentally studied for the first time. Due to the specific dispersion relation of inertial waves, a cavity shape supports wave attractors that appear only for retrograde lid precession. At a relatively low wave intensity, a zonal flow is generated in the vicinity of a “virtual” axial cylinder, the radius of which coincides with the radius of the focusing reflection from the conical bottom. A succession of non-linear regimes is observed as forcing increases, starting with a clearly identifiable case of triadic resonance. Further, the frequency spectrum is progressively enriched by emergence of additional discrete components, gradually reaching the state of “overheated” wave turbulence with a significant continuous background of the frequency spectrum. Finally, a strong low-frequency component develops in the frequency spectrum, and the continuous background of the spectrum decreases dramatically. The low-frequency component corresponds to azimuthally periodic structures identified as Rossby waves. In the case of strong forcing, a long-term variability of zonal-flow velocity at the timescale of tens of forcing periods is observed, which is likely a consequence of the interaction of azimuthal structures corresponding to a rich wave number set.
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July 2023
Research Article|
July 13 2023
Nonlinear regimes of inertial wave attractors generated by a precessing lid: Zonal flows and Rossby waves
Special Collection:
Precession, Nutation, and Libration Driven Flows
S. Subbotin
;
S. Subbotin
a)
(Data curation, Formal analysis, Investigation, Methodology, Project administration, Validation, Visualization, Writing – original draft, Writing – review & editing)
1
Laboratory of Vibrational Hydromechanics, Perm State Humanitarian Pedagogical University
, Perm 614000, Russia
a)Author to whom correspondence should be addressed: subbotin_sv@pspu.ru
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N. Shmakova
;
N. Shmakova
(Data curation, Formal analysis, Investigation, Methodology, Software, Validation, Visualization, Writing – original draft, Writing – review & editing)
2
Lavrentyev Institute of Hydrodynamics, Siberian Branch of the Russian Academy of Science
, Novosibirsk 630090, Russia
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V. Kozlov
;
V. Kozlov
(Data curation, Formal analysis, Methodology, Supervision, Writing – original draft, Writing – review & editing)
1
Laboratory of Vibrational Hydromechanics, Perm State Humanitarian Pedagogical University
, Perm 614000, Russia
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E. Ermanyuk
E. Ermanyuk
(Conceptualization, Data curation, Formal analysis, Methodology, Project administration, Supervision, Validation, Writing – original draft, Writing – review & editing)
2
Lavrentyev Institute of Hydrodynamics, Siberian Branch of the Russian Academy of Science
, Novosibirsk 630090, Russia
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a)Author to whom correspondence should be addressed: subbotin_sv@pspu.ru
Note: This paper is part of the special topic, Precession, Nutation, and Libration Driven Flows.
Physics of Fluids 35, 074110 (2023)
Article history
Received:
March 24 2023
Accepted:
June 21 2023
Citation
S. Subbotin, N. Shmakova, V. Kozlov, E. Ermanyuk; Nonlinear regimes of inertial wave attractors generated by a precessing lid: Zonal flows and Rossby waves. Physics of Fluids 1 July 2023; 35 (7): 074110. https://doi.org/10.1063/5.0151736
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