An analytic interface dynamo over a shear layer of finite depth

Details An analytic interface dynamo over a shear layer of finite depth An analytic interface dynamo over a shear layer of finite depth

2010-07-09

arxiv.org/abs/1007.1634v1

Geophysical and Astrophysical Fluid Dynamics 104, 619-630 (2010)

Astronomy and Astrophysics

Astrophysics

Solar and Stellar Astrophysics

11 pages, 4 figures Geophys. Astrophys. Fluid Dyn., in press

Scientific paper

10.1080/03091929.2010.508455

Parker's analytic Cartesian interface dynamo is generalized to the case of a shear layer of finite thickness and low resistivity ("tachocline"), bounded by a perfect conductor ("radiative zone") on the one side, and by a highly diffusive medium ("convective zone") supporting an $\alpha$-effect on the other side. In the limit of high diffusivity contrast between the shear layer and the diffusive medium, thought to be relevant for the Sun, a pair of exact dispersion relations for the growth rate and frequency of dynamo modes is analytically derived. Graphic solution of the dispersion relations displays a somewhat unexpected, non-monotonic behaviour, the mathematical origin of which is elucidated. The dependence of the results on the parameter values (dynamo number and shear layer thickness) is investigated. The implications of this result for the solar dynamo problem are discussed.

Affiliated with

Also associated with

No associations

Rating

An analytic interface dynamo over a shear layer of finite depth does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with An analytic interface dynamo over a shear layer of finite depth, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and An analytic interface dynamo over a shear layer of finite depth will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-645583