Hostname: page-component-7b7567c8c-kwt9d Total loading time: 0 Render date: 2026-11-15T08:34:38.753Z Has data issue: false hasContentIssue false
  • English
  • Français

Magnetohydrodynamic Taylor vortex flows

Published online by Cambridge University Press:  20 April 2006

P. Tabeling
P. Tabeling
Affiliation:
Laboratoire de Génie Electrique de Paris associé au C.N.R.S., E.S.E. Plateau du Moulon 91190, Gif-sur-Yvette
Get accessRights & Permissions [Opens in a new window]

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.

Information

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 112 , November 1981, pp. 329 - 345
Copyright
© 1981 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Article purchase

Temporarily unavailable

References

Baylis, J. A. 1962 Ph.D. Dissertation, Cambridge University.
Blennerhasset, P. & Hall, P. 1979 Proc. Roy. Soc. A 365, 191.
Chandrasekhar, S. 1961 Hydrodynamic and Hydromagnetic Stability, pp. 382–425. Oxford University Press.
Chang, T. S. & Sartory, W. K. 1967 Proc. Roy. Soc. A 301, 541.
Davey, A. 1962 J. Fluid Mech. 14, 336.
Diprima, R. C. 1964 ASLE Trans. 7, 333.
Donnelly, R. J. & Ozima, M. 1962 Proc. Roy. Soc. A 266, 272.
Moffatt, H. K. 1962 Ph.D. Dissertation, Cambridge University.
Stuart, J. T. 1971 Ann. Rev. Fluid Mech. 3, 347.
Tabeling, P. & Chabrerie, J. P. 1981a Phys. Fluids 29, 406.
Tabeling, P. & Chabrerie, J. P. 1981b J. Fluid Mech. 103, 225.
Tabeling, P. 1980 Thèse Université, Paris VI.
Tabeling, P. & Marsan, I. 1980 Phys. Lett. A 75, 217.
Volkov, A. V., Gurfink, M. M. & Poluektov, A. P. 1976 Magnetehydrodynamika 1, 81.
Yahata, H. 1977 Prog. Theor. Physics 57, 347.