Onset of oscillatory convection in two liquid layers with phase change
Onset of oscillatory convection in two liquid layers with phase change
复制标题
具有相变的两个液体层中振荡对流的开始
DOI：
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发表时间：
2009
期刊：
影响因子：
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通讯作者：
S. Coriell
中科院分区：
文献类型：
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作者：
G. McFadden;S. Coriell
我们进行线性稳定性计算的水平流体双层，可以进行相变的存在下，一个垂直的温度梯度。我们重新考虑了Huang和Joseph [J. Fluid Mech.242，235（1992）]计算的振荡不稳定性，该振荡不稳定性是针对温度接近100 °C时从下面冷却的水-蒸汽系统计算的，其中两种流体的密度存在很大差异。我们发现，浮力和表面张力梯度是不重要的这种不稳定性。数值解表明，在这些温度下的蒸汽和液体系统的属性是足够不同的近似处理是可能的，其中的汽相方程可以从整体控制方程中消除。进一步的解析近似建议的数值解，并给出了结果是很好的一致性，为整个控制方程组的数值解。一个简单的振荡不稳定模型...
We perform linear stability calculations for horizontal fluid bilayers that can undergo a phase transformation in the presence of a vertical temperature gradient. We reconsider the oscillatory instability calculated by Huang and Joseph [J. Fluid Mech. 242, 235 (1992)] for the water-steam system cooled from below at temperatures near 100 °C, where there is a large difference in the densities of the two fluids. We find that buoyancy and surface tension gradients are unimportant for this instability. Numerical solutions demonstrate that the properties of the vapor and liquid systems at these temperatures are sufficiently different that an approximate treatment is possible in which the equations for the vapor phase can be eliminated from the overall governing equations. Further analytical approximations suggested by the numerical solution are also presented, and the results are in good agreement with the numerical solution for the full set of governing equations. A simple model of the oscillatory instability ...