Nature of branching in electrohydrodynamic instability
Nature of branching in electrohydrodynamic instability
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DOI：
10.1103/physrevfluids.6.054001
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发表时间：
2021-05-10
影响因子：
2.7
通讯作者：
Narayanan, R.
中科院分区：
文献类型：
--
作者：
Dinesh, B.;Narayanan, R.
在重力作用下稳定分层的双层流体上施加电场会导致界面偏转所表现的不稳定性。对于完美介质下的完美导体，由弱非线性分析得到的解析表达式表明，正弦偏转只会导致亚临界破裂。虽然这个表达式表明存在一个过渡波数，在这个过渡波数以下应该发生超临界饱和，但可以表明，这种波数不能从几何上获得，从而排除了任何超临界饱和到稳定波。
An electric field imposed on a bilayer of fluids that are stably stratified in the presence of gravity leads to an instability manifested by interfacial deflections. For the case of a perfect conductor underlying a perfect dielectric, an analytical expression obtained from weak nonlinear analysis shows that sinusoidal deflections can only lead to subcritical breakup. While this expression indicates that there is a transition wave number below which supercritical saturation ought to occur, it can be shown that such wave numbers cannot be geometrically accessed, thus precluding any supercritical saturation to steady waves.