亲液表面上带电固着液滴的普适标度律
Universal scaling law for electrified sessile droplets on a lyophilic surface
AI总结：
本文在润滑近似下证明亲液表面上带电固着液滴的临界电场与体积满足指数为-1的普适幂律标度关系，并用总自由能最小化解释其成因。
摘要：
固体表面上的带电固着液滴在自然界以及若干实际应用中普遍存在。尽管已有实验研究了电场对钉扎固着液滴和肥皂泡的影响，但对一般液滴稳定性极限的理论理解在很大程度上仍不清楚。通过在润滑近似框架内进行理论分析，我们表明，在存在电场的情况下，亲液基底上固着液滴的稳定性极限表现出普适的幂律标度行为。发现临界电场与液滴体积之间的幂律指数为-1。该标度律的存在进一步通过带电液滴总自由能的最小化得到解释。
英文摘要：
Electrified sessile droplets on solid surfaces are ubiquitous in nature as well as several practical applications. Although the influence of electric field on pinned sessile droplets and soap bubbles have been investigated experimentally, the theoretical understanding of the stability limit of generic droplets remains largely elusive. By conducting a theoretical analysis in the framework of lubrication approximation, we show that the stability limit of a sessile droplet on a lyophilic substrate in the presence of an electric field exhibits a universal power-law scaling behaviour. The power-law exponent between the critical electric field and the droplet volume is found to be -1. The existence of this scaling law is further explained by virtue of minimization of the total free energy of the electrified droplet.
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