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Linear and Non-Linear Dynamics of Inertial Waves in a Rotating Cylinder with Antiparallel Inclined Ends

Mariya Shiryaeva1, Mariya Subbotina2, Stanislav Subbotin1,*

1 Laboratory of Vibrational Hydromechanics, Perm State Humanitarian Pedagogical University, Perm, 614000, Russia
2 The Department for Construction Engineering and Material Science, Perm National Research Polytechnic University, Perm, 614990, Russia

* Corresponding Author: Stanislav Subbotin. Email: email

(This article belongs to the Special Issue: Advanced Problems in Fluid Mechanics)

Fluid Dynamics & Materials Processing 2024, 20(4), 787-802. https://doi.org/10.32604/fdmp.2024.048165

Abstract

This work is devoted to the experimental study of inertial wave regimes in a non-uniform rotating cylinder with antiparallel inclined ends. In this setting, the cross-section of the cylinder is divided into two regions where the fluid depth increases or decreases with radius. Three different regimes are found: inertial wave attractor, global oscillations (the cavity’s resonant modes) and regime of symmetric reflection of wave beams. In linear wave regimes, a steady single vortex elongated along the rotation axis is generated. The location of the wave’s interaction with the sloping ends determines the vortex position and the vorticity sign. In non-linear regimes several pairs of the triadic resonance subharmonics are detected simultaneously. The instability of triadic resonance is accompanied by the periodic generation of mean vortices drifting in the azimuthal direction. Moreover, the appearance frequency of the vortices is consistent with the low-frequency subharmonic of the triadic resonance. The experimental results shed light on the mechanisms of the inertial wave interaction with zonal flow and may be useful for the development of new methods of mixing.

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APA Style
Shiryaeva, M., Subbotina, M., Subbotin, S. (2024). Linear and non-linear dynamics of inertial waves in a rotating cylinder with antiparallel inclined ends. Fluid Dynamics & Materials Processing, 20(4), 787-802. https://doi.org/10.32604/fdmp.2024.048165
Vancouver Style
Shiryaeva M, Subbotina M, Subbotin S. Linear and non-linear dynamics of inertial waves in a rotating cylinder with antiparallel inclined ends. Fluid Dyn Mater Proc. 2024;20(4):787-802 https://doi.org/10.32604/fdmp.2024.048165
IEEE Style
M. Shiryaeva, M. Subbotina, and S. Subbotin, “Linear and Non-Linear Dynamics of Inertial Waves in a Rotating Cylinder with Antiparallel Inclined Ends,” Fluid Dyn. Mater. Proc., vol. 20, no. 4, pp. 787-802, 2024. https://doi.org/10.32604/fdmp.2024.048165



cc Copyright © 2024 The Author(s). Published by Tech Science Press.
This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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