汎用解析による磁性流体界面安定性の検証 : 水平界面の場合(反応・多相系電磁(3),一般講演)

概要

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Free surface phenomena of magnetic fluid are caused by the delicate balance of interactions between the magnetic field and the fluid, and their stability analysis requires careful treatment of both systems. The present general analysis allows us to obtain the interface magnetic fields rigorously under arbitrary interface profiles and applied magnetic field distributions. However, it has been preferable that this analysis should be more efficient with the least loss of rigor. Integral operators G^^_I (I=X, Y, Z) are defined and used to obtain the induced part of the interface magnetic fields. While diminishing the load to calculate the matrix elements of G^^_I, these operators are reformed, and their role are investigated. The normal magnetic flux density used for the conventional two-dimensional linear stability analysis is re-derived theoretically. Furthermore, the difference from it is shown numerically, and its origin is discussed.
2009-09-02