交流磁場における磁性流体界面の不安定性 : 第3報,粘性流動を考慮した線形安定性解析

概要

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The stability of the surface of a magnetic fluid layer under the influences of vertical alternating magnetic fields is investigated analytically. The theoretical model treats small amplitude linearized wave having the same frequency as the magnetic field on the basis of the viscous non-polar theory of ferrohydrodynamics. It is also assumed that density, viscosity, surface tension and magnetic susceptibility are not affected by the magnetic field. Real neutral stability curves which envelop the stability curves for the disturbance of a given wave number are calculated by solving a set of ordinary differential equations governing the system. Unlike the results of the inviscid analysis, the instability occurs in a critical non-zero magnetic field amplitude. The system is stabilized with increase in the viscosity and the surface tension, with decrease in the susceptibility and the sharpness of the magnetic field. The experimental critical condition curves agree well with the calculated ones.
社団法人日本機械学会の論文
1989-12-25