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Interfacial phase change effect on a viscous falling film having odd viscosity down an inclined plane
International Journal of Multiphase Flow ( IF 3.8 ) Pub Date : 2021-06-13 , DOI: 10.1016/j.ijmultiphaseflow.2021.103728
Sanghasri Mukhopadhyay , Asim Mukhopadhyay

We investigate the phase change effect at the thin film interface with broken time-reversal-symmetry falling down an inclined flat wall. We consider the impact of evaporation and as well as condensation at the fluid-vapor interface separately. The non-zero odd part of the Cauchy stress tensor with the odd viscosity coefficient, which arises due to broken-time-reversal-symmetry, adds an attractive characteristic in the flow by stabilizing the effect of evaporation/condensation. We study the long-wave instabilities of the ununiform film by deriving a non-linear evolution equation in the classical long wave expansion method framework. The one-equation model can track the free surface evolution and accounts for viscosity, gravity, surface tension, and phase change (evaporation/condensation) effects. Linear stability analysis confirms that the odd viscosity has no significant impact on the instability threshold of an evaporating film as a contrast of condensate film, where the critical Reynolds number increases with the odd-viscosity parameter μ. While studying the weakly non-linear waves, we use the method of multiple scales to obtain the Complex Ginzburg Landau equation that shows both supercritical and subcritical solutions are possible for evaporating and condensate film. Interestingly, while one subcritical region is visible for an evaporating film, two subcritical unstable regions are found for condensate film. The numerical solution of the free-surface equation illustrates the finite-amplitude behavior that tends to dry out for evaporating film and rapidly increase film thickness for condensate film. The presence of odd viscosity slows down both the film thinning process for evaporation and the film thickening process for condensation. Furthermore, odd-viscosity cannot prevent film rupture in case of evaporation.



中文翻译:

沿斜面具有奇数粘度的粘性降膜的界面相变效应

我们研究了时间反转对称性破坏的薄膜界面处的相变效应,从倾斜的平坦壁上掉下来。我们分别考虑了流体 - 蒸汽界面处的蒸发和冷凝的影响。柯西应力张量的非零奇数部分具有奇数粘性系数,这是由于时间反转对称性破坏而产生的,通过稳定蒸发/冷凝的影响,在流动中增加了有吸引力的特性。我们通过在经典长波扩展方法框架中推导非线性演化方程来研究不均匀薄膜的长波不稳定性。一方程模型可以跟踪自由表面演化并考虑粘度、重力、表面张力和相变(蒸发/冷凝)效应。μ. 在研究弱非线性波时,我们采用多尺度的方法得到复金茨堡朗道方程,该方程表明蒸发和凝析膜的超临界和亚临界解都是可能的。有趣的是,虽然蒸发膜有一个亚临界区,但冷凝膜有两个亚临界不稳定区。自由表面方程的数值解说明了蒸发膜趋于变干和冷凝膜膜厚度迅速增加的有限幅度行为。奇数粘度的存在减慢了蒸发的薄膜变薄过程和冷凝的薄膜增厚过程。此外,在蒸发的情况下,奇数粘度不能防止膜破裂。

更新日期:2021-08-02
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