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Note on a Hamiltonian formalism for the flow of a magnetic fluid with a free surface

Published online by Cambridge University Press:  21 April 2006

O. Sero-Guillaume  and
D. Bernardin
O. Sero-Guillaume
Affiliation:
Laboratoire D'Energetique et de Mecanique Theorique et Appliquee, 24–30, rue Lionnois, 54013 Nancy Cedex, France
D. Bernardin
Affiliation:
Laboratoire D'Energetique et de Mecanique Theorique et Appliquee, 24–30, rue Lionnois, 54013 Nancy Cedex, France
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Abstract

The potential flow of an inviscid ferromagnetic fluid is formulated as a Hamiltonian system: the conjugate coordinates are the normal displacement of the free surface and the velocity potential on the free surface. If we take the equation of the magnetic field as a constraint, we can see that the flow of a magnetic liquid is a control-theory problem; the potential of the magnetic self-field is the control variable.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 181 , August 1987 , pp. 381 - 386
Copyright
© 1987 Cambridge University Press

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