Stream-function forms of magnetohydrodynamic equations between rotating concentric spheres

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.