论文标题
相互作用的多毛细管系统中的自发吸收动力学：广义模型
Spontaneous imbibition dynamics in interacting multi-capillary systems: A generalized model
论文作者
论文摘要
捆绑管模型以前用于了解多孔介质中的流动行为。相互作用的毛细管模型可以很好地描绘多孔介质中孔的相互作用性质。但是，孔的排列对于理解相互作用的毛细管系统的流动行为至关重要，这也导致自发吸收的不同管理方程。为此，在目前的工作中，我们首先开发了一个广义的一维润滑近似模型，以预测相互作用的多毛细管系统中的吸收行为。使用我们的广义模型，我们观察到流动动力学，具有领先的弯板的毛细血管和突破性时间受半径的对比和毛细血管排列的控制。我们还表明，在突破期间，多毛细血管系统的饱和取决于毛细血管的排列。我们表明，捆绑管模型的突破发生在$ 0.5 $的无尺寸时间，而相互作用的毛细管系统的突破发生在无量纲的$ 0.31 $和0.42 $之间，对于本研究中考虑的毛细管系统。将相互作用的多毛细管系统与管束模型进行比较，我们提出了实质性偏差，并表明相互作用的毛细管系统更接近实际的多孔介质。
Bundle-of-tubes model was previously used to understand the flow behaviour in a porous medium. The interacting nature of the pores within a porous medium can be well depicted by an interacting capillary model. However, the arrangement of pores is crucial in understanding the flow behaviour in an interacting capillary system, which also leads to different governing equations of spontaneous imbibition. To this end, in the present work, we first develop a generalized one-dimensional lubrication approximation model to predict the imbibition behaviour in an interacting multi-capillary system. Using our generalized model, we observe that the flow dynamics, the capillary having the leading meniscus and the breakthrough time are governed by the contrast in the radii and the arrangement of the capillaries. We also show that during breakthrough, the saturation of the multi-capillary system depends on the arrangement of the capillaries. We show that the breakthrough in the bundle-of-tubes model occurs at a dimensionless time of $0.5$, while the breakthrough in the interacting capillary system occurs between the dimensionless times $0.31$ and $0.42$, for the capillary system considered in this study. Comparing the interacting multi-capillary system with the bundle-of-tubes model, we present substantial deviations and show that the interacting capillary system is closer to the real porous medium.
