On the instability of conical protrusions of liquid surface in electric field
On the instability of conical protrusions of liquid surface in electric field
复制标题
DOI：
10.1134/s1063776107120151
复制
发表时间：
2007-12
影响因子：
1.1
通讯作者：
A. Petrin
中科院分区：
文献类型：
--
作者：
A. Petrin
分析了当电场强度接近某一阈值时，导电液体表面锥形突起尖端的电场。当电场超过阈值时，锥体尖端通常变得不稳定，并发射出细长的射流。导电液体锥尖端的场强趋于无穷大。即使场具有奇异性，只有当半锥角减小到泰勒角以下时，锥尖才变得不稳定，这对所有导电液体都是一样的。结果表明，如果液体是介质，且其介电常数足够高，也可以形成类似的锥形突起。在这种情况下，平衡锥角取决于介电常数。当介电常数低于约17.60时，锥体不能形成，随后的现象也不会发生。
Electric field is analyzed at the tip of the conical protrusion of a conductive liquid surface that forms as the field strength approaches certain threshold values. When the field exceeds the threshold, the cone tip generally becomes unstable and emits a slender jet. The field strength at the sharp tip of a conducting liquid cone tends to infinity. Even though the field has a singularity, the cone tip becomes unstable only if the semi-cone angle decreases below the Taylor angle, which is the same for all conducting liquids. It is shown that similar conical protrusions can form if the liquid is a dielectric and its permittivity is sufficiently high. In this case, the equilibrium cone angle depends on the permittivity. When the permittivity is lower than approximately 17.60, cones cannot form, and the ensuing phenomena do not occur.