The problem of magnetic forces in magnetizable fluids is discussed and classical formulas for volume force density (Kelvin, Helmholtz) are reviewed. The general problem of hydrostatic equilibrium of a magnetic liquid subject to magnetic field is formulated. On the basis of this formulation, the displacement of a linear magnetic fluid subject to the field produced by sheet-shaped coils is numerically computed by using the finite-elements method and an appropriate fixed-point iterative technique.
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