A Model of Solar Equilibrium: The Hydrodynamic Limit

L. M. Gunderson, Amitava Bhattacharjee

Research output: Contribution to journalArticle

Abstract

Helioseismology has revealed the internal density and rotation profiles of the Sun. Yet, knowledge of its magnetic fields and meridional circulation is confined much closer to the surface, and latitudinal entropy gradients are below detectable limits. While numerical simulations can offer insight into the interior dynamics and help identify which ingredients are necessary to reproduce particular observations, some features of the Sun can be understood analytically from an equilibrium perspective. Examples of such features include: the 1D density profile arising from steady-state energy transport from the core to the surface, and the tilting of isorotation contours in the convection zone (CZ) due to baroclinic forcing. To help answer the question of which features can be explained by equilibrium, we propose analyzing stationary axisymmetric ideal magnetohydrodynamic flows in the solar regime. By prescribing an appropriate entropy at the surface, we recover a rotation profile that reasonably matches observations in the bulk of the CZ. Additionally, by including the effects of poloidal flow, we reproduce a feature that is reminiscent of the near surface shear layer. However, no tachocline-like feature is seen in hydrodynamic equilibrium, suggesting the importance of either dynamics or magnetic fields in its description.

LanguageEnglish (US)
Article number47
JournalAstrophysical Journal
Volume870
Issue number1
DOIs
StatePublished - Jan 1 2019

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hydrodynamics
entropy
sun
convection
profiles
magnetic field
helioseismology
meridional circulation
shear layers
magnetohydrodynamic flow
magnetohydrodynamics
magnetic fields
ingredients
gradients
simulation
energy

Cite this

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A Model of Solar Equilibrium : The Hydrodynamic Limit. / Gunderson, L. M.; Bhattacharjee, Amitava.

In: Astrophysical Journal, Vol. 870, No. 1, 47, 01.01.2019.

Research output: Contribution to journalArticle

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