English

Dynamo generated by the centrifugal instability

Fluid Dynamics 2016-06-14 v1

Abstract

We present a new scenario for magnetic field amplification where an electrically conducting fluid is confined in a differentially rotating, spherical shell with thin aspect-ratio. When the angular momentum sufficiently decreases outwards, an hydrodynamic instability develops in the equatorial region, characterised by pairs of counter-rotating toroidal vortices similar to those observed in cylindrical Couette flow. These spherical Taylor-Couette vortices generate a subcritical dynamo magnetic field dominated by non-axisymmetric components. We show that the critical magnetic Reynolds number seems to reach a constant value at large Reynolds number and that the global rotation can strongly decrease the dynamo onset. Our numerical results are understood within the framework of a simple dynamical system, and we propose a low-dimensional model for subcritical dynamo bifurcations. Implications for both laboratory dynamos and astrophysical magnetic fields are finally discussed.

Keywords

Cite

@article{arxiv.1606.04078,
  title  = {Dynamo generated by the centrifugal instability},
  author = {Florence Marcotte and Christophe Gissinger},
  journal= {arXiv preprint arXiv:1606.04078},
  year   = {2016}
}

Comments

9 pages, 11 figures

R2 v1 2026-06-22T14:24:17.552Z