On the modified Taylor constraint
On the modified Taylor constraint
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关于修正泰勒约束
DOI：
10.1080/03091929.2014.942955
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发表时间：
2014
影响因子：
1.3
通讯作者：
Cheng
中科院分区：
文献类型：
--
作者：
P. Roberts;Cheng
由不受粘性力影响的运动驱动的发电机称为磁致转动发电机。虽然这样的模型可以很好地描述地核中磁场的产生，但是磁旋发电机还没有被发现，即使泰勒[Proc.R. Soc. Lond. A 1963，274，274-283]设计了一个明显可行的方法来找到一个。他的方法确定流体速度从磁场和能源只涉及评价积分沿着线平行于地球的旋转轴和解决方案的二阶常微分方程。下面证明，对于广泛的磁场族，该方程的近似解是直接的。此外，惯性，这是被忽视的泰勒的理论，恢复在这里，使修改后的理论包括扭转波，其存在于地球的核心已被推断从观测的一天的长度。他们的理论被重新考虑。
A dynamo driven by motions unaffected by viscous forces is termed magnetostrophic. Although such a model might describe magnetic field generation in Earth’s core well, a magnetostrophic dynamo has not yet been found even though Taylor [Proc. R. Soc. Lond. A 1963, 274, 274–283] devised an apparently viable method of finding one. His method for determining the fluid velocity from the magnetic field and the energy source involved only the evaluation of integrals along lines parallel to the Earth’s axis of rotation and the solution of a second-order ordinary differential equation. It is demonstrated below that an approximate solution of this equation for a broad family of magnetic fields is immediate. Furthermore inertia, which was neglected in Taylor’s theory, is restored here, so that the modified theory includes torsional waves, whose existence in the Earth’s core has been inferred from observations of the length of day. Their theory is reconsidered.