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首页> 外文期刊>The European physical journal, E. Soft matter >Stability of the electroosmotic flow of a two-layer electrolyte-dielectric system with external pressure gradient
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Stability of the electroosmotic flow of a two-layer electrolyte-dielectric system with external pressure gradient

机译：外压梯度双层电解质介电系统的电渗流稳定性

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摘要

The stability of the electroosmotic flow of electrolyte-dielectric viscous liquids under the influence of the DC and AC electric fields along with the external pressure gradient is studied theoretically. Liquids are bounded by two infinite parallel plates. The lower wall bordering the electrolyte is assumed to be a charged surface, and the upper wall is electrically isolated. The charge at the lower boundary is assumed to be immobile, while the surface charge at the free surface is assumed to be mobile. In this paper, we study the micro- and nanosized liquid layers. The mathematical model is described by a nonlinear system of the Nernst-Planck-Poisson-Stokes partial differential equations with the appropriate boundary conditions on the solid surface, the electrolyte/dielectric interface, and on the upper wall. The pressure gradient is highly important for the stability of the flow. For the DC case, the external pressure could either stabilize and destabilize the flow depending on the relative directions of the electroosmotic flow and the pressure-driven flow. For the AC case, the dependence on the value of the external pressure is not monotonous for different wave numbers of perturbations, but, as a rule, the external pressure destabilizes the flow. As the frequency of the electric field increases, the one-dimensional solution of the problem becomes stable.
机译：理论上研究了在DC和AC电场的影响下，电解质介质粘性液体的电渗流的稳定性以及外部压力梯度。液体由两个无限平行的板界定。接壤的下壁被假定为带电表面，上壁电隔离。假设下边界处的电荷是不动的，而假设自由表面的表面电荷是移动的。在本文中，我们研究了微型和纳米型液体层。数学模型由NERNST-PANCK-POISSON- Stokes部分微分方程的非线性系统描述，具有适当的边界条件，电解质/介电接口和上壁上。压力梯度对于流动的稳定性非常重要。对于DC壳体，外部压力可以根据电渗流和压力驱动流的相对方向稳定和破坏流量。对于AC案例，对外部压力值的依赖性对于不同的扰动的不同波数而不是单调，而是通常，外部压力使流量变得稳定。随着电场的频率增加，问题的一维解决方案变得稳定。

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