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arxiv: 1407.6855 · v2 · pith:ZGPDINSHnew · submitted 2014-07-25 · ⚛️ physics.flu-dyn · physics.plasm-ph

Energy transfers in dynamos with small magnetic Prandtl numbers

classification ⚛️ physics.flu-dyn physics.plasm-ph
keywords energymagneticdynamotransfersfieldlarge-scalemathrmnumber
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We perform numerical simulation of dynamo with magnetic Prandtl number $\mathrm{Pm} =0.2$ on $1024^3$ grid, and compute the energy fluxes and the shell-to-shell energy transfers. These computations indicate that the magnetic energy growth takes place mainly due to the energy transfers from large-scale velocity field to large-scale magnetic field and that the magnetic energy flux is forward. The steady-state magnetic energy is much smaller than the kinetic energy, rather than equipartition; this is because the magnetic Reynolds number is near the dynamo transition regime. We also contrast our results with those for dynamo with $\mathrm{Pm} =20$ and decaying dynamo.

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