Approximate Analysis of Oscillation of Single Spike of Magnetic Fluid under Vertical Alternating Magnetic Field

Abstract

An approximate analysis was made of the oscillation of a single spike of a magnetic fluid droplet under a vertical alternating magnetic field. The shape of the spike was assumed to be semiellipsoidal. Two resonances were found to occur, which corresponded to mode 1 and the peculiar oscillation observed in a previous experiment. The resonance frequencies of both oscillations decreased with the increase in both the amplitude of the magnetic field and the volume of the droplet.