AM05-16-014 磁性流体自由表面解析における3次元界面磁場方程式(波動・音・衝撃波3,一般講演)

概要

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The extension of the free surface analysis of the magnetic fluid to three-dimension is under progress, which requires rigorous magnetic field analysis. With no restrictions on complex free surface shapes and arbitrary external magnetic fields, we develop a method to obtain the interface magnetic field which satisfies both the harmonic condition (nondivergent and irrotational) and the interface condition (tangential magnetic field component and normal magnetic flux component are continuous). This method uses such techniques as (1) the mapping transform from the Flat Space to the Real Space, (2) the composite field by the fields in the fluid and the vacuum, (3) the Hilbert transform, (4) the separation of the interface field into the basic field and the induced field, and derives "interface magnetic field equations". In this paper, we reconsider the above techniques employing the two-dimensional complex analysis to be adapted for three-dimensional analysis. Especially, the Hilbert transform is reconsidered as the integral equation for the harmonic quantity.
日本流体力学会の論文
2005-09-05