The Generalization of Mixing Length Theory to Rotating Convection Zones and Application to the Sun
Abstract
The consequences of a balance between the Coriolis forces, pressure gradients and buoyancy forces in a compressible medium are investigated (the Taylor-Proudman theorem). A simple proof is given that if this balance holds, then the latitudinally dependent part of the superadiabatic gradient (∇ΔT) is determined by the angular velocity, Ω, and it is of the order of 2Ω20T/7g for rotation laws other than Ω constant along cylinders (it vanishes in this case). Here Ω0 is the average angular velocity, T the temperature and g gravity. In the lower part of the solar convection zone, 2Ω20T/7g is of the order of ∇ΔTr, itself, i.e., very large.
- Publication:
-
The Internal Solar Angular Velocity
- Pub Date:
- 1987
- DOI:
- 10.1007/978-94-009-3903-5_27
- Bibcode:
- 1987ASSL..137..235D
- Keywords:
-
- Convection;
- Mixing Length Flow Theory;
- Solar Rotation;
- Angular Velocity;
- Reynolds Stress;
- Solar Physics