A Model of Solar Equilibrium: The Hydrodynamic Limit

Gunderson, L. M.; Bhattacharjee, A.

doi:10.3847/1538-4357/aad55f

Title: A Model of Solar Equilibrium: The Hydrodynamic Limit

Journal Article · Fri Jan 04 00:00:00 EST 2019 · The Astrophysical Journal (Online)

DOI:https://doi.org/10.3847/1538-4357/aad55f· OSTI ID:1500124

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Princeton Univ., Princeton, NJ (United States). Princeton Plasma Physics Lab.

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. Furthermore, no tachocline-like feature is seen in hydrodynamic equilibrium, suggesting the importance of either dynamics or magnetic fields in its description.

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Research Organization:: Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)

Sponsoring Organization:: USDOE; National Science Foundation under grant Nos. AGS-1338944 and AGS-1460169.

Grant/Contract Number:: AC02-09CH11466

OSTI ID:: 1500124

Journal Information:: The Astrophysical Journal (Online), Vol. 870, Issue 1; ISSN 1538-4357

Publisher:: Institute of Physics (IOP)Copyright Statement

Country of Publication:: United States

Language:: English

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