Kinematic dynamos associated with large scale fluid motions
Kinematic dynamos associated with large scale fluid motions
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DOI：
10.1080/03091929108220003
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发表时间：
1991-11
影响因子：
1.3
通讯作者：
Takahiro Nakajima;M. Kono
中科院分区：
文献类型：
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作者：
Takahiro Nakajima;M. Kono
Bullard和Gellman（1954）提出了一种解决运动发电机问题的标准方法，该方法利用了磁场和速度场的环极分离和球谐展开。在这些研究中，速度场是由少量的环面和极面谐波组合而成，它们的径向依赖关系由一些物理因素规定。从Bullard和Gellman（1954）的原始论文开始，许多作者在不同的速度场组合上重复了这种分析，包括Dudley和James（1989）最近的全面研究。在本文中，我们使用Kono（1990）提出的计算机代数方法重新检查了以前的运动学发电机模型。这种方法特别适合于这类研究，因为不同的速度场可以用一个程序来处理。我们利用各种谐波的磁能分布来推断结果的收敛性。全国矿工工会……
Abstract A standard approach to the kinematic dynamo problem is that pioneered by Bullard and Gellman (1954), which utilizes the toroidal-poloidal separation and spherical harmonic expansion of the magnetic and velocity fields. In these studies, the velocity field is given as a combination of small number of toroidal and poloidal harmonics, with their radial dependences prescribed by some physical considerations. Starting from the original paper of Bullard and Gellman (1954), a number of authors repeated such analyses on different combination of velocity fields, including the most recent and comprehensive effort by Dudley and James (1989). In this paper, we re-examine the previous kinematic dynamo models, using the computer algebra approach initiated by Kono (1990). This method is particularly suited to this kind of research since different velocity fields can be treated by a single program. We used the distribution of magnetic energies in various harmonics to infer the convergence of the results. The num...