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Effect of odd viscosity on the stability of a falling thin film in presence of electromagnetic field
Fluid Dynamics Research ( IF 1.5 ) Pub Date : 2021-02-20 , DOI: 10.1088/1873-7005/abde23
Juanxia Zhao , Yongjun Jian

In the presence of an electromagnetic field, we studied the stability of a conductive thin liquid film flowing on a non-conductive inclined plate taking the effect of odd viscosity into account. Using the lubrication theory, a new liquid–gas interface evolution equation involving odd viscosity effect is derived. By analyzing the linear and non-linear stability of the evolution equation, we find that the odd viscosity and the magnetic field stabilize the flow, while the electric field destabilizes the flow. Linear study shows that the larger odd viscosity leads to the higher critical Reynolds number. The weakly nonlinear study reveals that in the limited amplitude range, the supercritical stable region and the explosion region will decrease with the increase of the odd viscosity. Conversely, the unconditionally stable region increases and the subcritical unstable region keeps almost unchanged.



中文翻译:

在电磁场作用下,奇数粘度对下落的薄膜稳定性的影响

在存在电磁场的情况下,我们考虑了奇数粘度的影响,研究了在非导电倾斜板上流动的导电薄膜的稳定性。利用润滑理论,推导了一个新的涉及奇粘度效应的液-气界面演化方程。通过分析演化方程的线性和非线性稳定性,我们发现奇粘度和磁场使流量稳定,而电场使流量不稳定。线性研究表明,较大的奇数粘度导致较高的临界雷诺数。弱非线性研究表明,在有限的振幅范围内,超临界稳定区和爆炸区将随着奇粘度的增加而减小。反过来,

更新日期:2021-02-20
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