标题： 三维流体流动特性在通道中的研究。 II. 弯月面和薄膜区域对粘性指状流的影响 显示英文标题

标题： Three-dimensional aspects of fluid flows in channels. II. Effects of Meniscus and Thin Film regimes on Viscous Fingers

摘要： 我们对线性通道中发展的稳定粘性指状物进行了三维研究。 通过一种模仿流体动量和序参数宏观方程的三维格子玻尔兹曼方案，我们在两种情况下研究了通道厚度的影响。 首先，对于在通道厚度方向上的流体完全驱替，我们发现稳定状态的指状物实际上是二维的，并且通过考虑在通道厚度方向上弯曲的液面作为表面应力的贡献，可以恢复之前的二维结果。 其次，当在通道厚度方向形成一层薄膜时，随着通道纵横比的增加，指状物变窄，这与实验结果一致。 薄膜的影响使问题变得三维，并导致结果偏离二维预测。 显示英文摘要

摘要： We perform a three-dimensional study of steady state viscous fingers that develop in linear channels. By means of a three-dimensional Lattice-Boltzmann scheme that mimics the full macroscopic equations of motion of the fluid momentum and order parameter, we study the effect of the thickness of the channel in two cases. First, for total displacement of the fluids in the channel thickness direction, we find that the steady state finger is effectively two-dimensional and that previous two-dimensional results can be recovered by taking into account the effect of a curved meniscus across the channel thickness as a contribution to surface stresses. Secondly, when a thin film develops in the channel thickness direction, the finger narrows with increasing channel aspect ratio in agreement with experimental results. The effect of the thin film renders the problem three-dimensional and results deviate from the two-dimensional prediction.