Numerical Analysis on the Deformation of Free Surface of Magnetic Fluid. 1st Report. In the Case of Steady Non-uniform Magnetic Field.

Abstract

Numerical analysis is conducted on the deformation of the free surface of a magnetic fluid. Applied magnetic fields are steadily induced by a circular current loop located under the magnetic fluid. Governing equations of magnetic fields are solved using the concept of vector potential. Fluid flow is calculated by using the finite volume method with marker particles. The surface of the magnetic fluid is formed the balance of surface force, gravity, pressure difference, magnetic normal pressure and magnetic body force. The results of simulation show the instability of the free surface of the magnetic fluid due to the effect of the magnetic terms. The rise and fall pattern of the free surface of the magnetic fluid are qualitatively clarified, and the patterns of a steady nonuniform magnetic field induced by a circular current loop are quantitatively presented.