Department of Power Mechanical Engineering, National Tsing Hua University, Hsinchu 30013, Taiwan, Republic of China.
Philos Trans A Math Phys Eng Sci. 2011 Jun 28;369(1945):2510-8. doi: 10.1098/rsta.2011.0073.
A three-dimensional Lattice Boltzmann two-phase model capable of dealing with large liquid and gas density ratios and with a partial wetting surface is introduced. This is based on a high density ratio model combined with a partial wetting boundary method. The predicted three-dimensional droplets at different partial wetting conditions at equilibrium are in good agreement with analytical solutions. Despite the large density ratio, the spurious velocity around the interface is not substantial, and is rather insensitive to the examined liquid and gas density and viscosity ratios. The influence of the gravitational force on the droplet shape is also examined through the variations of the Bond number, where the droplet shape migrates from spherical to flattened interface in tandem with the increase of the Bond number. The predicted interfaces under constant Bond number are also validated against measurements with good agreements.
引入了一种能够处理大液体与气体密度比和部分润湿表面的三维格子玻尔兹曼双相模型。该模型基于一个高密度比模型和一个部分润湿边界方法。在平衡条件下，对不同部分润湿条件下的三维液滴进行预测，与解析解吻合较好。尽管密度比很大，但界面周围的虚假速度并不显著，而且对所研究的液体和气体密度比和粘度比也不太敏感。通过变化邦数，还研究了重力对液滴形状的影响，随着邦数的增加，液滴形状从球形迁移到扁平界面。在恒定邦数下预测的界面也与测量结果进行了验证，吻合较好。
