Entry pressure for the rough capillary: Semi-analytical model, Lattice Boltzmann simulation
Entry pressure for the rough capillary: Semi-analytical model, Lattice Boltzmann simulation
复制标题
粗毛细管的入口压力：半解析模型，格子玻尔兹曼模拟
DOI：
10.1016/j.jhydrol.2018.04.060
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发表时间：
2018-07
影响因子：
6.4
通讯作者：
Zhou K
中科院分区：
文献类型：
--
作者：
Wei Bei;Hou Jian;Huang Haibo;Sukop M. C.;Liu YG;Zhou K
基于能量平衡原理和粗糙表面润湿理论，建立了一个计算粗糙毛细管入口压力的半解析模型。在排水过程中，我们假设流体在毛细管横截面的拐角处形成取决于表观角的弧形波纹，并且存在取决于润湿条件的吸附在粗糙表面上的润湿相膜。提出了一个Logistic模型来解释粗糙表面结构对接触角的依赖性。然后用扩展的MS P（Mayer，斯托and Schmiden）方法计算毛细管入口压力。我们使用赝势格子玻尔兹曼模型验证模型，并获得良好的协议之间的分析和模拟的压力。以柱状粗糙表面的三角形截面毛细管为例，讨论了粗糙结构和接触角对毛细管行为的影响。结果表明，在相同条件下，粗糙毛细管的润湿相饱和度和入口压力均大于光滑毛细管。此外，在强润湿条件下，入口压力对粗糙度因子不敏感，而对柱状微凸体高度的敏感性远远高于其他结构参数。
We develop a semi-analytical model to calculate the entry pressure in rough capillaries based on an energy balance principle and wetting theory on rough surfaces. During the drainage process, we assume fluids form arc menisci at corners of capillary cross-sections depending on the apparent angle, and that there is a wetting phase film adsorbed on the rough surface depending on the wetting condition. A Logistic model is proposed to explain the contact angle dependence on the structure of rough surfaces. Then the capillary entry pressure is calculated by extended MS-P (Mayer, Stowe and Princen) method. We verify the model using the pseudopotential Lattice Boltzmann model and obtain good agreement between the analytical and simulated pressures. Taking capillaries with triangular sections with pillar pillar-type rough surfaces as example, we discuss how rough structures and contact angles influence capillary behaviors. The results reveal that both the wetting phase saturation and entry pressure of rough capillaries are larger than those in smooth capillaries under the same conditions. Moreover, the entry pressure is not sensitive to the roughness factor under strong wetting conditions and is much more sensitive to the pillar asperity height than the other structure parameters.
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