arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2008.09125astro-ph.SRastro-ph.EPphysics.flu-dyn
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恒星和行星中的对流差异旋转I:理论

Convective Differential Rotation in Stars and Planets I: Theory

Adam S. Jermyn, Shashikumar M. Chitre, Pierre Lesaffre, Christopher A. Tout

摘要:

我们推导出缩放的微分旋转在缓慢和快速旋转的对流区使用数量级的方法。我们的计算适用于恒星和流体行星和所有旋转速率,以及磁化和纯流体动力系统。我们发现剪切$|R\nablaΩ|$的顺序的角频率$Ω$的缓慢旋转系统与$Ω\ll |N|$,其中$N$是\brvs \频率,并发现它下降的幂律$Ω$的快速旋转系统与$Ω\gg |N|$。进一步计算了纬向环流率和斜压性,并检验了快速旋转极限下的磁场强度。我们的结果与模拟和观测结果基本一致,我们与同伴论文中的结果进行了详细的比较。

英文摘要:

We derive the scaling of differential rotation in both slowly- and rapidly-rotating convection zones using order of magnitude methods. Our calculations apply across stars and fluid planets and all rotation rates, as well as to both magnetized and purely hydrodynamic systems. We find shear $|R\nablaΩ|$ of order the angular frequency $Ω$ for slowly-rotating systems with $Ω\ll |N|$, where $N$ is the \brvs\ frequency, and find that it declines as a power-law in $Ω$ for rapidly-rotating systems with $Ω\gg |N|$. We further calculate the meridional circulation rate and baroclinicity and examine the magnetic field strength in the rapidly rotating limit. Our results are in general agreement with simulations and observations and we perform a detailed comparison with those in a companion paper.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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