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- W4385473991 abstract "Magnetorotational instability (MRI) is the most likely mechanism for angular momentum transport in accretion disks. However, despite numerous efforts, the quest for an unambiguous identification of MRI in laboratory is still ongoing. For this purpose, a big Taylor-Couette experiment with liquid sodium is currently under construction within DRESDYN project. In preparation for these experiments, we have determined optimal parameters for axisymmetric standard MRI (SMRI) with an axial magnetic field and analyzed its nonlinear evolution. In this sequel paper, we investigated the linear and nonlinear dynamics of non-axisymmetric SMRI modes in a similar magnetized Taylor-Couette setup at very small magnetic Prandtl numbers $Pm sim 10^{-5}$ of liquid sodium. We showed that the achievable magnetic Reynolds $Rmsim 40$ and Lundquist $Lusim10$ numbers in this experiment are large enough for the growth of non-axisymmetric $|m|=1$ SMRI modes, but the corresponding critical $Rm_c$ is about 2-3 times higher than that of axisymmetric SMRI. Then we followed the nonlinear evolution of these modes and analyzed the structure of the saturated state and its scaling properties with $Re$. For $Re lesssim 10^4$, the non-axisymmetric SMRI modes do not saturate and eventually decay due to the modification of the radial profile of the mean azimuthal velocity by the nonlinear saturation of the axisymmetric SMRI. By contrast, for large $Re gtrsim 10^4$, a rapid growth and saturation of other, nonmagnetic type of non-axisymmetric modes occur, which are radially localized in the turbulent boundary layer near the inner cylinder wall. The saturation amplitude of these non-axisymmetric modes is always a few orders smaller than that of the axisymmetric one. We showed that the scaling relations for the magnetic energy and torque derived for axisymmetric SMRI in our previous study well carry over to the present 3D case." @default.
- W4385473991 created "2023-08-02" @default.
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- W4385473991 date "2023-07-30" @default.
- W4385473991 modified "2023-09-27" @default.
- W4385473991 title "Non-axisymmetric standard magnetorotational instability in the upcoming DRESDYN-MRI experiments -- linear and nonlinear dynamics" @default.
- W4385473991 doi "https://doi.org/10.48550/arxiv.2307.16295" @default.
- W4385473991 hasPublicationYear "2023" @default.
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