流れ場の性質を利用した軸対称三次元場における電気力線の数値計算

概要

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In this paper, a numerical calculation technique is presented on the mapping lines of electric force in axially symmetric three-dimensional fields. This technique is derived from the result of studies of "the inversibility on fluid mappers, " based on the fact that the roles of a pressure function and a stream function of a stationary potential flow can be interchanged each other. Taking advantage of the analogy between the electrostatic fields and the potential flow fields, the lines of electric force and equipotential contours correspond to the streamlines and equi-pressure contours of the flow, respectively. The present technique enables us to improve the effectiveness of computer-aided analysis using finite element method whose conventional use has not held in application to the numerical calculation for the lines of electric force so far. Applications of this technique are illustrated by examples simulating parallel plate electrodes with a prolate spheroidal projection on the one side of them, and additionally simulating suspension-type insulator. It is concluded that the technique is effective to calculate the lines of electric force in the fields such as composite dielectric substances with complex boundary surface of different dielectric constants.
東海大学の論文