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arXiv 0903.1738cond-mat.softphysics.class-ph
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二维多孔介质中接触角对缓慢蒸发的影响

Influence of contact angle on slow evaporation in two-dimensional porous media

Hamza Chraibi, M. Prat, O. Chapuis

发表信息：
Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 79 (2009) 026313
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摘要：

本文用数值方法研究了二维模型多孔介质中接触角对缓慢蒸发的影响。对于足够低的接触角，干燥模式是分形的，可以预测的一个简单的模型相结合的入侵渗流模型与计算的气相中的扩散传输。总干燥时间在该状态下最小，并且在直至过渡区开始的大范围接触角内与接触角无关。随着过渡区中的接触角增大，界面的协作平滑机制变得重要，并且在蒸发过程期间形成的液气界面指状物的宽度增大。平均总干燥时间在过渡区域中增加直到在临界接触角Θ_c处达到的上限。在过渡区中的干燥时间的增加被解释在与拉普拉斯方程在气相中的蒸汽传输相关的扩散屏蔽现象。在Θ_c以上，干燥模式的特征在于平坦的行进前沿，并且平均总干燥时间变得与接触角无关。研究了干燥时间波动，发现在低于Θ_c时，即，当图案是分形的时候。波动具有相同的数量级，而与该范围内的接触角的值无关。当液-气界面变为平坦前沿时，波动在Θ c处突然消失。

英文摘要：

We study numerically the influence of contact angle on slow evaporation in two-dimensional model porous media. For sufficiently low contact angles, the drying pattern is fractal and can be predicted by a simple model combining the invasion percolation model with the computation of the diffusive transport in the gas phase. The overall drying time is minimum in this regime and is independent of contact angle over a large range of contact angles up to the beginning of a transition zone. As the contact angle increases in the transition region, the cooperative smoothing mechanisms of the interface become important and the width of the liquid gas interface fingers that form during the evaporation process increases. The mean overall drying time increases in the transition region up to an upper bound which is reached at a critical contact angle Θ_c. The increase in the drying time in the transition region is explained in relation with the diffusional screening phenomenon associated with the Laplace equation governing the vapor transport in the gas phase. Above Θ_c the drying pattern is character- ized by a flat traveling front and the mean overall drying time becomes independent of the contact angle. Drying time fluctuations are studied and are found to be important below Θ_c, i.e., when the pattern is fractal. The fluctuations are of the same order of magnitude regardless of the value of contact angle in this range. The fluctuations are found to die out abruptly at Θ_c as the liquid gas interface becomes a flat front.

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