Theory of a liquid metal Tayler experiment

The nonaxisymmetric Tayler instability of toroidal magnetic fields is studied for conducting incompressible fluids between two coaxial cylinders. The inner cylinder is assumed as thin. The outer radius of the container is 5 cm. The electric current may be homogeneous so that the azimuthal magnetic field is proportional to the radius. Endplates are not considered. The azimuthal mode number of the perturbation is fixed to m = 1.