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此文基于加权残数积分边界层(WRIBL,Weighted-residual Integral Boundary-layer)模型,推导出描述电场作用下的沿波纹壁面下落的二维液膜流动的演化方程,分析了电场和壁面结构对稳定性的影响以及定常流动的特性。在壁面振幅较小的情况下,毛细作用促使薄膜更稳定,而电场则使其流动的失稳,此文提出了这两种作用的平衡条件,并说明壁面结构的引入可以加剧这两方面的效应。对定常流动的分析说明了表面波相对振幅和与壁面的相位差随物理参数的变化情况,并显示电场对流场共振现象有抑制作用。
Based on the Weighted-residual Integral Boundary-layer (WRIBL) model, the evolution equation describing the flow of a two-dimensional liquid film along a corrugated wall under an electric field is deduced. The effects of electric field and wall structure pair The influence of stability and the characteristics of steady flow. When the amplitude of the wall is small, the capillary action makes the film more stable, but the electric field makes the flow instability. This paper presents the equilibrium conditions of these two kinds of actions and shows that the introduction of the wall structure can exacerbate these two aspects effect. The analysis of steady flow shows that the relative amplitude of the surface wave and the phase difference with the wall change with the physical parameters, and shows that the electric field can restrain the resonance of the flow field.