Electric field singularity on the line of wetting of dielectric surface
Electric field singularity on the line of wetting of dielectric surface
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DOI：
10.1134/s10740-008-1004-3
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发表时间：
2008-02
期刊：
影响因子：
1
通讯作者：
A. Petrin
中科院分区：
文献类型：
--
作者：
A. Petrin
考虑了导电液体浸润介质线上的电场奇异性。已知在这种情况下电场的模量趋于无穷大，而与润湿线的距离趋于零，即，电场在润湿线上具有奇点。在非零润湿角的情况下，这个奇异性是可积的，总的电能体积密度保持有限。结果表明，当介质液体润湿表面时，存在一个临界润湿角，该润湿角由介质液体的介电常数比决定。当润湿角小于临界值时，电场奇异性消失。
The pattern of electric field singularity on the line of wetting of dielectric by conducting liquid is considered. It is known that the modulus of electric field in this case tends to infinity while the distance from the line of wetting tends to zero, i.e., the electric field has a singularity on the line of wetting. In the case of nonzero wetting angle, this singularity is integrable, with the total volume density of electric energy remaining finite. It is demonstrated that, if the surface is wetted by dielectric liquid, a critical wetting angle exists defined by the permittivity ratio of contacting dielectrics. When the wetting angle becomes less than critical, the electric field singularity disappears.