DEVELOPMENT OF CHARGE IN LOW-CONDUCTIVITY LIQUIDS FLOWING PAST SURFACES - ENGINEERING PREDICTIONS FROM THE THEORY DEVELOPED FOR TUBE FLOW

DEVELOPMENT OF CHARGE IN LOW-CONDUCTIVITY LIQUIDS FLOWING PAST SURFACES - ENGINEERING PREDICTIONS FROM THE THEORY DEVELOPED FOR TUBE FLOW
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DOI:
10.1016/0009-2509(62)80080-3
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发表时间:
1962-01-01
影响因子:
4.7
通讯作者:
GAVIS, J
GAVIS, J
中科院分区:
工程技术2区
文献类型:
--
作者:
KOSZMAN, I;GAVIS, J

文献摘要

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概述了作者早期提出的一种理论,该理论描述了管中低电导率(碳氢化合物)液体的湍流中电荷的产生。通过使用众所周知的湍流传质相关性,该理论被扩展为一种易于实验测试的形式,并可据此做出工程预测。充电电流被证明是无量纲群的通用函数——管半径的平方的四倍除以碳氢化合物的运动粘度、其弛豫时间和雷诺数的四分之七次方的乘积——结果与液体中层流分区厚度与扩散双层厚度的比率有关。对于该组的足够小的值,可以通过理论预测电流;对于较大的组值,理论无法预测电流。理论可以预测电流的无量纲组的最高值必须通过实验获得。
A theory, developed earlier by the authors, which describes charge generation in the turbulent flow of low-conductivity (hydrocarbon) liquids in tubes, is recapitulated. The theory is extended, by use of well known correlations of turbulent mass transfer, into a form which may be easily tested experimentally, and from which engineering predictions may be made. The charging current is shown to be a universal function of a dimensionless group—four times the square of the tube radius divided by the product of the kinematic viscosity of the hydrocarbon, its relaxation time and the seven-fourths power of the Reynolds number—which turns out to be related to the ratio of the laminar subzone thickness to the diffuse double-layer thickness in the liquid. For small enough values of this group the current can be predicted by the theory; for larger values of the group the theory is unable to predict the current. The highest value of the dimensionless group where the theory can predict the current must be obtained experimentally.