Stellar fibril magnetic systems. II - Two-dimensional magnetohydrodynamic equations. III - Convective counterflow
Abstract
The dynamics of magnetic fibrils in the convective zone of a star is investigated analytically, deriving mean-field equations for the two-dimensional transverse motion of an incompressible fluid containing numerous small widely spaced circular cylinders. The equations of Parker (1982) are extended to account for the inertial effects of local flow around the cylinders. The linear field equation for the stream function at the onset of convection is then rewritten, neglecting large-scale heat transport, and used to construct a model of convective counterflow. The Kelvin impulse and fluid momentum, convective motion initiated by a horizontal impulse, and the effects of a viscous boundary layer are considered in appendices.
- Publication:
-
The Astrophysical Journal
- Pub Date:
- July 1985
- DOI:
- 10.1086/163273
- Bibcode:
- 1985ApJ...294...47P
- Keywords:
-
- Circular Cylinders;
- Convection Currents;
- Fluid Dynamics;
- Inviscid Flow;
- Magnetohydrodynamics;
- Stellar Magnetic Fields;
- Equations Of Motion;
- Green'S Functions;
- Poisson Equation;
- Reynolds Stress;
- Solar Magnetic Field;
- Astrophysics