Differential rotation in fully convective stars

Differential rotation in fully convective stars
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全对流恒星中的差分旋转

DOI:
10.1111/j.1365-2966.2010.16380.x
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发表时间:
2010
影响因子:
4.8
通讯作者:
Balbus S
Balbus S
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Balbus S

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在热成风平衡和等自转面有效熵混合的假设下,可以很逼真地再现太阳对流区的等自转轮廓。即使在发展的早期阶段,这种日震学拟合也可以用来确定中纬度径向太阳熵梯度的下限,这与标准混合长度理论雅阁。在本文中,我们将这种太阳能计算推广到完全对流的恒星(和潜在的行星),保留假设的热风平衡和有效的熵混合等旋面。发现每一条等自转轮廓线的形式为R ~ 2 =A+BΦ(r),其中R是距自转轴的半径,Φ(r)是(假定为球形的)引力势,A和B是沿轮廓线的沿着常数。这一结果适用于简单的模型完全对流星。两个太阳像表面旋转配置文件(角速度朝两极下降)以及“反日”的配置文件(角速度朝两极增加)建模;后者承担一些暗示性的相似之处数值模拟。我们还对类似于木星和土星的纬向表面流进行了探索性研究。除了提供一个实用的框架来理解大规模数值模拟的结果,我们的研究结果也可能证明有用的动力学计算,其中一个简单的,但可行的模型,在对流流体中的背景旋转配置文件是必要的。最后,我们的工作直接关系到CoRoT计划的一个重要目标:阐明旋转对流恒星的内部结构。
Under the assumption of thermal wind balance and effective entropy mixing in constant rotation surfaces, the isorotational contours of the solar convective zone may be reproduced with great fidelity. Even at this early stage of development, this helioseismology fit may be used to put a lower bound on the mid-latituderadialsolar entropy gradient, which is in good accord with standard mixing length theory. In this paper, we generalize this solar calculation to fully convective stars (and potentially planets), retaining the assumptions of thermal wind balance and effective entropy mixing in isorotational surfaces. It is found that each isorotation contour is of the formR2=A+BΦ(r), whereRis the radius from the rotation axis, Φ(r) is the (assumed spherical) gravitational potential, andAandBare constants along the contour. This result is applied to simple models of fully convective stars. Both solar-like surface rotation profiles (angular velocity decreasing toward the poles) as well as ‘antisolar’ profiles (angular velocity increasing toward the poles) are modelled; the latter bear some suggestive resemblance to numerical simulations. We also perform exploratory studies of zonal surface flows similar to those seen in Jupiter and Saturn. In addition to providing a practical framework for understanding the results of large-scale numerical simulations, our findings may also prove useful in dynamical calculations for which a simple but viable model for the background rotation profile in a convecting fluid is needed. Finally, our work bears directly on an important goal of the CoRoT programme: to elucidate the internal structure of rotating, convecting stars.
DOI: 10.1111/j.1365-2966.2009.15464.x
发表时间: 2009-07
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影响因子: 6.5
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