Abstract—

This work formulated and solved the problem of determining the specific electrical conductivity of plasma in the channel of the electrical discharge in water as well as that of the discharge channel resistance taking into account the deviation in its shape from that of a straight circular cylinder. The closing ratios and empirical functions whose parameters agree with the experimental data are obtained. The use of the empirical functions necessary for the calculation of the specific electrical conductivity of plasma is justified in connection with its high nonideality and relatively low degree of ionization. The obtained relations allowed for substantially increasing the adequacy of the mathematical model developed earlier for the physical processes of the discharge in water and expanding the range of parameters in which it can be applied.

中文翻译：

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水中放电过程中等离子体比电导率和非圆柱通道电阻变化的数学模型

摘要-

这项工作提出并解决了在确定水中放电通道中的等离子体比电导率以及放电通道电阻的电导率时要考虑到其形状与直圆柱体的偏差的问题。得到参数与实验数据吻合的封闭率和经验函数。结合其较高的非理想性和相对较低的电离度，证明了使用计算等离子体的比电导率所必需的经验函数是合理的。所获得的关系大大增加了先前开发的用于水中排放物物理过程的数学模型的适当性，并扩大了可应用该数学模型的参数范围。