Reynolds stresses and differential rotation. I. On recent calculations of zonal fluxes in slowly rotating stars
Reynolds stresses and differential rotation. I. On recent calculations of zonal fluxes in slowly rotating stars
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雷诺应力和微分旋转。
DOI：
10.1080/03091928008243659
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发表时间：
1980
影响因子：
1.3
通讯作者：
G. Rüdiger
中科院分区：
文献类型：
--
作者：
G. Rüdiger
摘要 为了推导一般的纬向通量表达式，本文研究了慢速 (Ωτ<1) 旋转对高度各向异性随机运动的影响。角动量的径向和纬度通量是导出的，并且取决于两个谱函数。结果应用于空间周期性相关性的常用示例，即单模谱。这种情况下的纬向通量可以表示为三个速度分量的强度和波数矢量的组合。将这些量专门用于文献中讨论的情况。我们能够重现之前发布的结果。此外，在用纵坐标上的平均值替换系综平均值之后，通量结果是针对 l=m 的非轴对称模式导出的。因此，对迄今为止在该领域发表的结果给出了相当完整的说明。
Abstract In order to derive general zonal flux expressions this paper deals with the influence of slow (Ωτ<1) rotation on highly anisotropic stochastic motions. The radial and latitudinal fluxes of angular momentum are derived and depend on two spectral functions. The results are applied to the often used example of spatially periodic correlations, i.e., to one-mode spectra. The zonal fluxes in this case can be expressed as combinations of the intensities of the three velocity components and the wave number vector. Specializing these quantities to the cases discussed in the literature. we are able to reproduce previously published results. Moreover, after a replacement of the ensemble averages by those over the longitudinal coordinate, fluxes result which hare been derived for non-axisymmetric modes with l=m. Thus, a fairly complete account is given of results published in this field up to the present.