AM06-16-003 磁性流体自由表面解析への3次元Hilbert変換の適用(波動・音・衝撃波(1),一般講演)

概要

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For accurate and efficient free surface analysis of magnetic fluid, rigorous magnetic field analysis applicable for any interface deformations and external magnetic field distributions is indispensable. As the extension of the two-dimensional complex analysis, this paper presents a method to obtain the three-dimensional interface magnetic field which is harmonic and satisfies the interface conditions. The derived "interface magnetic field equations" are expressed by integral operators G_<X,Y,Z> which include the "three-dimensional Hilbert transform." Its operations on periodic functions can be obtained analytically. For different sizes of the analytic region and different changing directions of the external magnetic field relative to that of the interface shape, the induced tangential magnetic field is investigated on gently-changing interface. Its distribution localized around the zero inclinations of the interface shape in the case of small size is attributed to the spatial contraction rate changing sharply there.
2006-09-05