Department of Mechanical Engineering Technology, New York City College of Technology, Brooklyn, NY 11201, USA.
Philos Trans A Math Phys Eng Sci. 2011 Jun 28;369(1945):2405-13. doi: 10.1098/rsta.2011.0025.
A lattice Boltzmann equation method based on the Cahn-Hilliard diffuse interface theory is developed to investigate the bubble formation process in a microchannel with T-junction mixing geometry. The bubble formation process has different regimes, namely, squeezing, dripping and jetting regimes, which correspond to the primary forces acting on the system. Transition from regime to regime is generally dictated by the capillary number Ca, volumetric flow ratio Q and viscosity ratio λ. A systematic analysis is performed to evaluate these effects. The computations are performed in the range of 10(-4)<Ca<1, 1<Q<20 and 10(-2)<λ<1, with the equilibrium contact angle varying from 30° to 150°.
基于 Cahn-Hilliard 扩散界面理论的格子 Boltzmann 方程方法被开发出来,以研究具有 T 型混合几何形状的微通道中的气泡形成过程。气泡形成过程有不同的阶段,即挤压、滴落和射流阶段,这对应于作用于系统的主要力。从一个阶段到另一个阶段的转变通常由毛细数 Ca、体积流量比 Q 和粘度比 λ 决定。进行了系统的分析来评估这些影响。计算在 10(-4)<Ca<1、1<Q<20 和 10(-2)<λ<1 的范围内进行,平衡接触角从 30°变化到 150°。