Magnetohydrodynamic Taylor vortex flows

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Abstract
Hydromagnetic Taylor-vortex flows of liquid metals, subjected to an axially applied magnetic field, are considered. The supercritical state of flow is treated by means of perturbation method with multiple scale expansions in time and space. Results show that the supercritical state of flow is significantly affected by the imposed magnetic field. Calculations on finite equilibrium amplitude of Taylor vortices are compared with experiment. In the case of Taylor–Couette flows between insulating cylinders, good agreement is found between theory and experiment, while, in the case of electro-magnetically driven flows between steady conducting cylinders, disagreement occurs once magnetic field effects become significant. These results are discussed.