Dynamics of Interface Displacement in Capillary Flow

Dynamics of Interface Displacement in Capillary Flow
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DOI:
10.1007/s10955-005-7001-6
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发表时间:
2005-10
影响因子:
1.6
通讯作者:
L. Santos;F. Wolf;P. Philippi
L. Santos;F. Wolf;P. Philippi
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
L. Santos;F. Wolf;P. Philippi

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毛细管流动动力学在工业中具有多种实际应用,并已得到广泛研究。这些研究的主要焦点是界面的运动,特别是三相接触线附近的运动,以及侵入过程中接触角的变化。在这项工作中,我们使用基于场介体的格子-玻尔兹曼模型,展示了二维和三维毛细管侵入的几个模拟结果。我们研究固体表面附近的速度场、流动引起的接触角变化以及可用于毛细管入口和出口的边界条件。在所有模拟中,管的直径都做得足够大,以便能够直接从密度场评估接触角,并将毛细管上升的结果与基于 Bosanquet 方程的理论模型进行比较,该方程包括毛细管效应、粘性效应、惯性效应和重力效应。
The dynamics of capillary flow has several practical applications in the industry and has been extensively investigated. The main focuses in these studies are the motion of the interface, especially near the three-phase contact line, and the change of contact angle during the invasion process. In this work we present several simulations results of capillary invasion in two- and three-dimensions, using the Lattice–Boltzmann model based on field mediators. We investigate the velocity field near the solid surface, the changes in the contact angle as a consequence of the flow, and the boundary conditions that can be used in the inlet and outlet of the capillary tube. In all simulations the diameter of tube is made large enough to enable the evaluation of the contact angle directly from the density field and the results of capillary rise are compared with a theoretical model based on the Bosanquet equation, which includes capillary, viscous, inertial and gravitational effects.