圆柱形油罐模型的静电电位和电场的分布

Distribution of Electrostatic Potential and Field in a Cylindrical Tank

如果金属油罐内输进一部分带电液体,例如石油类产品,就会在油罐内产生很高的静电电位和电场,并且很危险。要想知道这种电位分布,必须同时解拉普拉斯和泊松方程。本文对圆柱形油罐模型,用贝塞尔函数给出了一个解析解,并进行了数值计算,给出了一个特定模型的计算结果,结果表明这个级数解的收敛性是比较好的。为了估计和评价一般结构的油罐内气体空间的最高电位和电场强度,导出了更为实用的方程。

If a metal tank is partly filled with charged liquid, such as petroleum products, the electrostatic potential and field strength in the tank would become very high and hazardous. In order to determine the distribution of this potential, both the Laplace and the Poisson equations must be solved simultaneously. In this paper, an analytical sloution for a cylindrical tank model was obtained by using the Bessel functions. Numerical results for a particular model was given, and it shows that the convergence of the series solution is reasonably acceptable. In order to estimate the maximum electrostatic potential and field strenth of the gas space in the oil tank of ordinary structure, more practical equations were derived.