外加电场下奇粘性对薄膜不稳定性影响的数值模拟

Numerical Simulation of the Effect of Odd-Viscosity on Liquid Film Instability with an External Electric Field

本文研究了在外加电场作用下,包含奇粘性的流体薄液膜沿倾斜基底下落时的不稳定效应。其中,奇粘性是由于流体打破常规的时间反衍对称性而产生的。利用线方法数值模拟了Bao和Jian的非线性演化方程。研究结果表明,当奇粘性增大时,薄膜的振幅减小,不稳定性减弱。这说明奇数粘性对下落的薄液膜具有稳定性作用,进一步证实了Bao和Jian的研究结论。此外,对于给定的奇粘性,薄膜的振幅随着电参数的增大而增大,这说明电参数增强了薄膜不稳定性。

In this paper, the instability effect of a thin liquid film containing odd viscosity falling along an in-clined substrate under an applied electric field is studied. Among them, the odd viscosity is pro-duced by the fluid breaking the conventional time inverse diffraction symmetry. Nonlinear evolu-tion equation of Bao and Jian was numerically simulated by using lines method. The results show that when the odd viscosity increases, the amplitude of the film decreases and the instability weakens. This shows that the odd viscosity has a stabilizing effect on the falling thin liquid film, further confirming the research conclusion of Bao and Jian. In addition, for a given odd-viscosity, the amplitude of liquid film increases with the increase of the electrical parameter, indicating that the electrical parameter enhances the liquid film instability.