Transport in stellar radiation zones with magnetic field
Abstract
We examine the interaction between meridian circulation and turbulence in rotating stars with an axisymetric magnetic field. In the same way as Zahn (1992) and Spiegel and Zahn (1992), the turbulence is assumed to be anisotropic, due to the stratification, with stronger transport in the horizontal directions than in the vertical. We keep the 'shellular rotation' hypothesis, but we expand the differential rotation in latitude to higher order, which allow us to treat simultaneously the radiative interior and the tachocline(s). We derive the partial differential equations which govern the transport of magnetic field, temperature, angular momentum and chemical elements with taking into account the non-stationarity of the problem, the mu-gradients, the effect of horizontal turbulence in thermal imbalance and a general equation of state like in Maeder and Zahn (1998). Finally, we apply the beta-viscosity prescription which has been derived from Couette-Taylor experiments (Richard and Zahn (1999)) to the problem of transport in stellar interiors to obtain a new expression for the horizontal component of the turbulent viscosity, nuh, and its companion the horizontal diffusivity, Dh.
The next step will be to implement these new equations in existing stellar structure codes, to model the evolution of rotating stars.- Publication:
-
SF2A-2003: Semaine de l'Astrophysique Francaise
- Pub Date:
- 2003
- Bibcode:
- 2003sf2a.conf..601M