Modulated rotating waves and triadic resonances in spherical fluid systems: The case of magnetized spherical Couette flow
arXiv:2103.05924 · doi:10.1063/5.0049516
Abstract
The existence of triadic resonances in the magnetized spherical Couette system (MSC) is related to the development of modulated rotating waves, which are quasiperiodic flows understood in terms of bifurcation theory in systems with symmetry. In contrast to previous studies in spherical geometry the resonant modes are not inertial waves but related with the radial jet instability which is strongly equatorially antisymmetric. We propose a general framework in which triadic resonances are generated through successive Hopf bifurcations from the base state. The study relies on an accurate frequency analysis of different modes of the flow, for solutions belonging to two different bifurcation scenarios. The azimuthal and latitudinal nonlinear coupling among the resonant modes is analysed and interpreted using spherical harmonics and the results are compared with previous studies in spherical geometry.
arXiv comment15 pages, 10 figures, 3 tables
References in corpus (13)
- Experimental observation and characterization of the magnetorotational instability
- Shortcut to geostrophy in wave-driven rotating turbulence: the quartetic instability
- Subcritical transition to turbulence of a precessing flow in a cylindrical vessel
- Triadic resonances in non-linear simulations of a fluid flow in a precessing cylinder
- Modulated rotating waves in the magnetized spherical Couette system
- Chaotic wave dynamics in weakly magnetised spherical Couette flows
- A study of turbulence and interacting inertial modes in a differentially-rotating spherical shell experiment
- Experimental investigation of the return flow instability in magnetic spherical Couette flow
- Continuation and stability of rotating waves in the magnetized spherical Couette system: Secondary transitions and multistability
- Four-frequency solution in a magnetohydrodynamic Couette flow as a consequence of azimuthal symmetry breaking
- Triadic resonances driven by thermal convection in a rotating sphere
- Polar waves and chaotic flows in thin rotating spherical shells
- Long term time dependent frequency analysis of chaotic waves in the weakly magnetized spherical Couette system