Electric field stabilization of viscous liquid layers coating the underside of a surface
Electric field stabilization of viscous liquid layers coating the underside of a surface
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覆盖表面下侧的粘性液体层的电场稳定性
DOI：
10.1103/physrevfluids.2.054001
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发表时间：
2017
影响因子：
2.7
通讯作者：
Anderson T
中科院分区：
文献类型：
--
作者：
Anderson T
我们研究了在平行于水平表面施加电场的情况下润湿水平表面下侧的粘性薄膜的静电稳定性。该模型包括实验中常见的液体-空气系统上方和下方的固体介电区域边界效应。重力、表面张力和施加电场的非局部效应之间的竞争以非线性演化方程的形式进行分析。采用半谱求解策略来求解所得偏微分方程的动力学。此外，我们使用流体体积方法对纳维-斯托克斯方程进行直接数值模拟 (DNS)，并评估当电场强度从零变化到完全稳定时所获得的解决方案在长波（薄膜）区域中的准确性。我们使用 DNS 来检查随着液体层厚度增加而渐近导出的行为的局限性，并发现甚至超出了渐近解的严格适用范围之外的良好一致性。最后，利用渐近和计算方法来确定稳健且有效的主动控制机制，允许根据小规模的工程应用（例如混合）操纵流体界面。
We investigate the electrostatic stabilization of a viscous thin film wetting the underside of a horizontal surface in the presence of an electric field applied parallel to the surface. The model includes the effect of bounding solid dielectric regions above and below the liquid-air system that are typically found in experiments. The competition between gravitational forces, surface tension, and the nonlocal effect of the applied electric field is captured analytically in the form of a nonlinear evolution equation. A semispectral solution strategy is employed to resolve the dynamics of the resulting partial differential equation. Furthermore, we conduct direct numerical simulations (DNS) of the Navier-Stokes equations using the volume-of-fluid methodology and assess the accuracy of the obtained solutions in the long-wave (thin-film) regime when varying the electric field strength from zero up to the point when complete stabilization occurs. We employ DNS to examine the limitations of the asymptotically derived behavior as the liquid layer thickness increases and find excellent agreement even beyond the regime of strict applicability of the asymptotic solution. Finally, the asymptotic and computational approaches are utilized to identify robust and efficient active control mechanisms allowing the manipulation of the fluid interface in light of engineering applications at small scales, such as mixing.
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介电流体中的瑞利-泰勒不稳定性
影响因子：
4.6
作者：
A. Joshi;M. Radhakrishna;N. Rudraiah
通讯作者：
N. Rudraiah
DOI：
10.1063/1.3327932
发表时间：
2010-03
期刊：
Physical review. E, Statistical, nonlinear, and soft matter physics
影响因子：
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作者：
Ory Haimovich;A. Oron
通讯作者：
Ory Haimovich;A. Oron
影响因子：
3.8
作者：
R. Cimpeanu;D. Papageorgiou
通讯作者：
D. Papageorgiou
电流体动力学和磁流体动力学表面波和不稳定性
影响因子：
4.6
作者：
J. Melcher
通讯作者：
J. Melcher
平面壁上粘性液体层的瑞利-泰勒不稳定性
影响因子：
3.7
作者：
L. Newhouse;C. Pozrikidis
通讯作者：
C. Pozrikidis