Axisymmetric Magnetic Fields and Fluid Motions.
Axisymmetric Magnetic Fields and Fluid Motions.
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轴对称磁场和流体运动。
DOI：
10.1086/146217
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发表时间：
1956
期刊：
影响因子：
--
通讯作者：
S. Chandrasekhar
中科院分区：
文献类型：
--
作者：
S. Chandrasekhar
在磁场和流体运动关于轴对称的情况下，考虑适用于有限电导率的不可压缩无粘流体的流体磁学方程。通过使用螺线管矢量场可以表示为极向场和环形场的叠加的已知定理，方程被简化为四个控制标量的四个方程。在无限电导率的极限情况下，导出了一般关系，其中包括作为特殊情况的已知的无力场定理、等转和静水平衡条件。还推导了这四个方程的一些积分关系。
The equations of hydromagnetics appropriate for an incompressible inviscid fluid of finite electrical conductivity are considered in case the magnetic fields and the fluid motions have symmetry about an axis By using a known theorem that a solenoidal vector field can be expressed as a superposition of a poloidal and a toroidal field, the equations are reduced to four equations for four governing scalars. In the limiting case of infinite electrical conductivity, a general relation is derived which includes, as special cases, the known theorems on force-free fields, isorotation, and conditions for hydrostatic equilibrium. Some integral relations which follow from the four equations are also derived.