Abstract
The word Magnetohydrodynamics covers those phenomena, where, in an electrically conducting fluid, the velocity field u and the magnetic field B are coupled. In objects subject to solid body motion such as rotors, the velocity field is reduced to a change of the frame of reference, and its relation with the magnetic field is considerably simplified; such phenomena belong to electromagnetism. Similarly, the movement of an insulating fluid, which is insensitive to the presence of a magnetic field, belongs to fluid mechanics. However, as soon as these two vector fields u and B are dependent on each other, their description goes beyond these two independent disciplines, and calls for a more general formalism.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Germain P., 1973, Cours de Mécanique des Milieux Continus, Tome 1: Théorie Générale,Masson
Landau L. et Lifshitz E., 1969, Electrodynamique des Milieux Continus, Mir, Ed. française
Ostrach S., 1964, Laminar Flows with Body Forces, in Theory of Laminar flows, ed. F. K. Moore,Princeton Univ. Press
Shercliff J. A., 1965, A textbook of MHD, Pergamon
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1990 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Moreau, R. (1990). The equations of magnetohydrodynamics. In: Magnetohydrodynamics. Fluid Mechanics and Its Applications, vol 3. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-7883-7_1
Download citation
DOI: https://doi.org/10.1007/978-94-015-7883-7_1
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-4077-0
Online ISBN: 978-94-015-7883-7
eBook Packages: Springer Book Archive