球间隙区域上磁流体动力学方程的流函数形式

Stream-Function Forms of Magnetohydrodynamic Equations Between Rotating Concentric Spheres

讨论了球间隙区域上磁流体边界条件的齐次化.在假定两同心旋转球间隙区域上磁流体的流速是轴对称的情形下,引入流函数,利用张量的方法,获得了满足齐次化边界条件的、描述两同心旋转球间不可压缩磁流体方程组的流函数形式.该流函数形式为研究两同心旋转球间隙区域上不可压缩磁流体的稳定性及动力学行为提供了重要的理论基础,使得利用谱逼近及数值研究磁流体的稳定性和动力学行为成为可能.

The boundary conditions on the gap region between rotating concentric spheres were homogenized, by introducing the stream-function, the tensor stream forms of magnetohydrodynamic equations satisfied the homogeneous boundary conditions were deduced under supposition of the axisymmetric electrical conductive flow field within the region. These equations provide a theoretical basis for evaluating the stability and dynamical behaviors of axisymmetric and incompressible electrical conductive fluid between rotating concentric spheres.