Turbulence in electromagnetically driven Keplerian flows

DOI10.1017/JFM.2021.635zbMATH Open1480.76161arXiv2109.05813OpenAlexW3194498270MaRDI QIDQ5152424

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Publication date: 24 September 2021

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Abstract: The flow of an electrically conducting fluid in a thin disc under the action of an azimuthal Lorentz force is studied experimentally. At small forcing, the Lorentz force is balanced by either viscosity or inertia, yielding quasi-Keplerian velocity profiles. For very large current and moderate magnetic field, we observe a new regime, fully turbulent, which exhibits large fluctuations and a Keplerian mean rotation profile $OmegasimfracsqrtIB{r}^{3/2}$. In this turbulent regime, the dynamics is typical of thin layer turbulence, characterized by a direct cascade of energy towards the small scales and an inverse cascade to large scale. Finally, at very large magnetic field, this turbulent flow bifurcates to a quasi-bidimensional turbulent flow involving the formation of a large scale condensate in the horizontal plane. These results are well understood as resulting from an instability of the B"odewadt-Hartmann layers at large Reynolds number and discussed in the framework of similar astrophysical flows.

Full work available at URL: https://arxiv.org/abs/2109.05813

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