Onset of inertial magnetoconvection in rotating fluid spheres
arXiv:0906.5460 · doi:10.3390/fluids6010041
Abstract
The onset of convection in the form of magneto-inertial waves in a rotating fluid sphere permeated by a constant axial electric current is studied through a perturbation analysis. Explicit expressions for the dependence of the Rayleigh number on the azimuthal wavenumber are derived in the limit of high thermal diffusivity. Results for the case of thermally infinitely conducting boundaries and for the case of nearly thermally insulating boundaries are obtained.
arXiv commentChanges to structure; several typos corrected; new figure included (Figure 2)
References in corpus (5)
- Prandtl number dependence of convection driven dynamos in rotating spherical fluid shells
- Large-Eddy Simulations of Magnetohydrodynamic Turbulence in Heliophysics and Astrophysics
- Patterns of convection in rotating spherical shells
- Inertial convection in rotating fluid spheres
- Lecture notes: Astrophysical fluid dynamics