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The Astrophysical Journal
Article . 2018 . Peer-reviewed
License: IOP Copyright Policies
Data sources: Crossref
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https://dx.doi.org/10.48550/ar...
Article . 2018
License: arXiv Non-Exclusive Distribution
Data sources: Datacite
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Prandtl-number Effects in High-Rayleigh-number Spherical Convection

Authors: Ryan J. Orvedahl; Michael A. Calkins; Nicholas A. Featherstone; Bradley W. Hindman;

Prandtl-number Effects in High-Rayleigh-number Spherical Convection

Abstract

Abstract Convection is the predominant mechanism by which energy and angular momentum are transported in the outer portion of the Sun. The resulting overturning motions are also the primary energy source for the solar magnetic field. An accurate solar dynamo model therefore requires a complete description of the convective motions, but these motions remain poorly understood. Studying stellar convection numerically remains challenging; it occurs within a parameter regime that is extreme by computational standards. The fluid properties of the convection zone are characterized in part by the Prandtl number  = ν/κ, where ν is the kinematic viscosity and κ is the thermal diffusion; in stars, is extremely low,  ≈ 10−7. The influence of on the convective motions at the heart of the dynamo is not well understood since most numerical studies are limited to using  ≈ 1. We systematically vary and the degree of thermal forcing, characterized through a Rayleigh number, to explore its influence on the convective dynamics. For sufficiently large thermal driving, the simulations reach a so-called convective free-fall state where diffusion no longer plays an important role in the interior dynamics. Simulations with a lower generate faster convective flows and broader ranges of scales for equivalent levels of thermal forcing. Characteristics of the spectral distribution of the velocity remain largely insensitive to changes in . Importantly, we find that plays a key role in determining when the free-fall regime is reached by controlling the thickness of the thermal boundary layer.

Keywords

Astrophysics - Solar and Stellar Astrophysics, Fluid Dynamics (physics.flu-dyn), FOS: Physical sciences, Physics - Fluid Dynamics, Solar and Stellar Astrophysics (astro-ph.SR)

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
8
Top 10%
Average
Top 10%
Green
gold