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Interfacial instability induced by lateral vapor pressure fluctuation in bounded thin liquid-vapor layers

机译:侧向蒸气压波动引起的界面不稳定性   有界薄的液体蒸汽层

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摘要

We study an instability of thin liquid-vapor layers bounded by rigid parallelwalls from both below and above. In this system, the interfacial instability isinduced by lateral vapor pressure fluctuation, which is in turn attributed tothe effect of phase change: evaporation occurs at a hotter portion of theinterface and condensation at a colder one. The high vapor pressure pushes theinterface downward and the low one pulls it upward. A set of equationsdescribing the temporal evolution of the interface of the liquid-vapor layersis derived. This model neglects the effect of mass loss or gain at theinterface and guarantees the mass conservation of the liquid layer. The resultof linear stability analysis of the model shows that the presence of thepressure dependence of the local saturation temperature mitigates the growth oflong-wave disturbances. The thinner vapor layer enhances the vapor pressureeffect. We find the stability criterion, which suggests that only slighttemperature gradients are sufficient to overcome the gravitational effect for awater/vapor system. The same holds for the Rayleigh-Taylor unstable case, witha possibility that the vapor pressure effect may be weakened if theaccommodation coefficient is below a certain critical value.
机译:我们从下方和上方研究了由刚性平行壁为边界的薄液汽层的不稳定性。在该系统中,界面不稳定性是由横向蒸气压力波动引起的,而横向蒸气压力波动又归因于相变的影响:蒸发发生在界面的较热部分,而凝结发生在较冷的界面。高蒸气压将界面向下推动,而低蒸气压将界面向上推动。一组方程描述了液-气分层的界面随时间的演变。该模型忽略了界面处质量损失或增益的影响,并保证了液层的质量守恒。该模型的线性稳定性分析结果表明,局部饱和温度的压力依赖性的存在减轻了长波干扰的增长。较薄的蒸气层增强了蒸气压力效果。我们找到了稳定性判据,这表明只有轻微的温度梯度足以克服水/蒸汽系统的重力作用。对于瑞利-泰勒不稳定情况也是如此,如果适应系数低于某个临界值,则蒸气压效应可能会减弱。

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    Kanatani, Kentaro;

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  • 年度 2009
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