论文标题
恒星和行星I：理论中的对流差异旋转
Convective Differential Rotation in Stars and Planets I: Theory
论文作者
论文摘要
我们使用数量级方法来得出在缓慢和快速旋转对流区域中差异旋转的缩放。我们的计算适用于跨恒星和流体行星以及所有旋转速率，以及磁化和纯粹的流体动力系统。我们发现订单的剪切$ | r \nablaΩ| $对于具有$ω\ ll | n | $的缓慢旋转系统的角频率$ω$，其中$ n $是\ brvs \频率，发现它以$ω$的$ω$下降，用于$ω$，用于$ω\ gg gg gg \ gg | n | n | $。我们进一步计算子午循环速率和斜视性，并在快速旋转的极限下检查磁场强度。我们的结果与模拟和观察结果一般一致，我们与同伴论文中的详细比较进行了详细的比较。
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.
