Hostname: page-component-76fb5796d-x4r87 Total loading time: 0 Render date: 2024-04-26T00:46:23.458Z Has data issue: false hasContentIssue false
  • English
  • Français

Capillary hydrodynamic effects in high magnetic fields

Published online by Cambridge University Press:  21 April 2006

B. M. Berkovsky  and
N. N. Smirnov
B. M. Berkovsky
Affiliation:
Institute for High Temperatures of the USSR Academy of Sciences, Moscow, USSR
N. N. Smirnov
Affiliation:
Institute for High Temperatures of the USSR Academy of Sciences, Moscow, USSR
Get access Rights & Permissions [Opens in a new window]

Abstract

A set of hydrodynamic equations has been applied to processes occurring in non-conductive fluids placed into magnetic fields. The equations are valid for equilibrium magnetization within the framework of a continuous medium. The ranges of physical parameters have been evaluated for which magnetization of a fluid should be taken into account in problems concerning the determination of equilibrium forms, and flows and their stability. The conclusion has been drawn that magnetization of natural fluids in these problems must be taken into consideration for fluids in high (exceeding 1 T) magnetic fields. As examples, the solutions of several typical problems concerning the equilibrium surface of capillary fluids and their stability in external magnetic fields have been considered. Hydrodynamic effects related to magnetization of natural capillary fluids in high magnetic fields are studied with due regard for the above solutions. Hydrodynamic effects in para- and diamagnetic fluids have been studied and the common and distinctive features of these effects discussed.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 187 , February 1988 , pp. 319 - 327
Copyright
© 1988 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.)

References

Batchelor, G. K. 1967 An Introduction to Fluid Dynamics. Cambridge University Press.
Berkovsky, B. M., Bashtovoi, V. G. & Vislovich, A. N. 1985 An Introduction to Thermo-mechanics of Magnetic Fluids. Moscow: IVTAN, 188 pp. (in Russian).
Berkovsky, B. M. & Smirnov, N. N. 1984 Some solutions of the equation for the surface of a magnetized fluid. Magnitnaya Gidrodinamika, 1, 15–20 (in Russian).Google Scholar
Berkovsky, B. M. & Smirnov, N. N. 1985 Equilibrium surfaces of diamagnetic fluids. Fourth USSR Confon Magnetic Fluids, Ples, Ivanovskaya Oblast', vol. 1, pp. 42–43. Moscow: MGU (in Russian)
Kaye, G. W. & Laby, T. H. 1966 Tables of Physical and Chemical Constants and Some Mathematical Functions. Wiley.
Knoepfel, H. 1970 Pulsed High Magnetic Fields. North-Holland.
Neuringer, J. L. & Rosensweig, R. E. 1964 Ferrohydrodynamics. Phys. Fluids 7, 1927–37.Google Scholar