Dynamically consistent nonlinear dynamos driven by convection in a rotating spherical shell

Details Dynamically consistent nonlinear dynamos driven by convection in a rotating spherical shell Dynamically consistent nonlinear dynamos driven by convection in a rotating spherical shell

Jun 1981

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981apjs...46..211g&link_type=abstract

Astrophysical Journal Supplement Series, vol. 46, June 1981, p. 211-238.

Physics

Fluid Dynamics

121

Convection, Dynamo Theory, Magnetohydrodynamics, Rotating Fluids, Solar Magnetic Field, Solar Physics, Energy Spectra, Fluid Dynamics, Rotating Spheres, Self Consistent Fields

Scientific paper

Calculations are presented of a convectively driven hydromagnetic dynamo in a rotating spherical shell in which all of the induction effects arise from the same, self-consistent solutions of the convection equations, and the results obtained are compared with observations of the solar dynamo. A hydromagnetic model for nonlinear convection in a rotating spherical shell is used in which it is possible to solve simultaneously for the evolving velocity and magnetic field and include the full feedbacks of the magnetic field on the motion. The solutions are obtained in stages, with the preliminary perturbation of a state of solid rotation to develop a spectrum of convection and differential rotation, followed by the introduction of a small-seed magnetic field of various magnetic Prandtl numbers to induce dynamo behavior. Although the calculated differential rotation is found to be similar to the observed equatorial acceleration of the sun, the calculated dynamo behaves quite differently, with no global magnetic field reversals, equatorial migration of the toroidal magnetic field or preferred symmetry of the induced magnetic fields, which is attributed to an excessively large model helicity. It is concluded that there as yet does not exist a solar dynamo model which both reproduces the observational characteristics of the solar dynamo and is consistent with the laws of fluid dynamics.

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