Issue |
A&A
Volume 441, Number 2, October II 2005
|
|
---|---|---|
Page(s) | 763 - 772 | |
Section | The Sun | |
DOI | https://doi.org/10.1051/0004-6361:20053170 | |
Published online | 19 September 2005 |
Self-consistent theory of turbulent transport in the solar tachocline
I. Anisotropic turbulence
Department of Applied Mathematics, University of Sheffield, Sheffield, S3 7RH, UK e-mail: e.kim@sheffield.ac.uk
Received:
1
April
2005
Accepted:
24
June
2005
We present a self-consistent theory of turbulent transport
in the solar tachocline by taking into account the
effect of the radial differential rotation on
turbulent transport. We show that
the shearing by the radial differential rotation leads to
reduction in turbulent transport of
particles and momentum and the amplitude of turbulent
flow via shear stabilization. The degree of reduction
depends on the direction as well as the quantity that
is transported. Specifically,
particle transport in the vertical (radial) direction,
orthogonal to the shear flow,
is reduced with the scaling
while it is less reduced in the horizonal plane with
the scaling
.
Here,
is shearing rate, representing the radial
differential rotation.
A similar, but weaker, anisotropy also develops in the amplitude
of turbulent flow.
The results suggest that the radial differential rotation in the tachocline
can cause anisotropy in turbulence intensity and particle transport
with weaker turbulence in the radial direction even
in the absence of density stratification and
even when the turbulence is mainly driven radially
by plumes from the convection zone.
We also assess the efficiency of the transport by a meridional
circulation by taking into account the interaction
with the radial differential rotation. Implications for mixing
and angular momentum transport in the solar interior is discussed.
Key words: turbulence / Sun: interior / Sun: rotation / Sun: abundances
© ESO, 2005
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