Taylor Instability of Magnetic Liquid Flow in an Axial Magnetic Field

The results of investigation of the Taylor instability of magnetic liquid flow in a homogeneous magnetic field between rotating cylinders in the narrow gap approximation are presented. It has been established that the nonisothermicity of flow leads to a substantial decrease in the instability threshold, as in an ordinary liquid. On the other hand, the influence of the magnetic field is reduced to the instability threshold of an ordinary liquid by means of viscosity renormalization, i.e., the redetermination of viscosity in terms of anisotropic components. Apart from the results obtained, the work is of interest in the context of the methods of numerical solution of such class of problems.