Self-consistent theory of turbulent transport in the solar tachocline I. Anisotropic turbulence

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Abstract

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 ∝A-2 while it is less reduced in the horizonal plane with the scaling ∝A-4/3. Here, A 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.

Original languageEnglish
Pages (from-to)763-772
Number of pages10
JournalAstronomy and Astrophysics
Volume441
Issue number2
DOIs
Publication statusPublished - 1 Oct 2005
Externally publishedYes

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turbulence
turbulent flow
shearing
anisotropy
solar interior
momentum
scaling
shear flow
meridional circulation
stratification
angular momentum
plumes
stabilization
convection
plume
shear
causes
particle
interactions

Bibliographical note

Copyright © and Moral Rights are retained by the author(s) and/ or other copyright owners. A copy can be downloaded for personal non-commercial research or study, without prior permission or charge. This item cannot be reproduced or quoted extensively from without first obtaining permission in writing from the copyright holder(s). The content must not be changed in any way or sold commercially in any format or medium without the formal permission of the copyright holders.

Keywords

  • Sun: abundances
  • Sun: interior
  • Sun: rotation
  • Turbulence

ASJC Scopus subject areas

  • Astronomy and Astrophysics
  • Space and Planetary Science

Cite this

Self-consistent theory of turbulent transport in the solar tachocline I. Anisotropic turbulence. / Kim, Eun Jin.

In: Astronomy and Astrophysics, Vol. 441, No. 2, 01.10.2005, p. 763-772.

Research output: Contribution to journalArticle

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