Scaling relations for a compressible model of rising flux tubes in rotating adiabatic stars
- Rainer Arlt,
- Awaiting Activation
Abstract
We carried out two series of numerical experiments of rising magnetic flux
tubes in compressible stellar interiors. We first studied the axisymmetric
rise of magnetic flux tubes. We found that the properties of the rise scale
with the magnetic rossby number. This result agrees with the literature,
hence we show that our compressible model is able to reproduce thin flux tubes,
incompressible, and anelastic results. Moreover by demonstrating the
scalability of our model we show that it is possible to simulate
the rise of compressible magnetic flux tubes. Which, due to numerical
limitations, is not trivial. The second series is a non-axisymmetric
study. We show that the properties of the rise of a magnetic flux tube scale
in a different manner in 2D and 3D. From a large parameter study, we derived
a general scaling parameter valid in both geometries unifying both previous
results. From these general scaling law we were able to relate the
relative rising time to the regime of the rise of the magnetic flux
tube. Finally we suggest to apply this universal relation in a delayed
Babcock-Leighton dynamo model.