Joshi Abhijit S, Sun Ying
Drexel University, Philadelphia, Pennsylvania 19104, USA.
Phys Rev E Stat Nonlin Soft Matter Phys. 2010 Oct;82(4 Pt 1):041401. doi: 10.1103/PhysRevE.82.041401. Epub 2010 Oct 7.
A three-dimensional lattice Boltzmann method (LBM) has been developed for multiphase (liquid and vapor) flows with solid particles suspended within the liquid phases. The method generalizes our recent two-dimensional model [A. Joshi and Y. Sun, Phys. Rev. E 79, 066703 (2009)] to three dimensions, extends the implicit scheme presented therein to include interparticle forces and introduces an evaporation model to simulate drying of the colloidal drop. The LBM is used to examine the dynamical wetting behavior of drops containing suspended solid particles on homogeneous and patterned substrates. The influence of the particle volume fraction and particle size on the drop spreading dynamics is studied as is the final deposition of suspended particles on the substrate after the carrier liquid evaporates. The final particle deposition can be controlled by substrate patterning, adjusting the substrate surface energies and by the rate of evaporation. Some of the envisioned applications of the model are to develop a fundamental understanding of colloidal drop dynamics, predict particle deposition during inkjet printing of functional materials and to simulate the drying of liquids in porous media.
一种三维格子玻尔兹曼方法（LBM）已被开发用于模拟多相（液相和气相）流动，其中固体颗粒悬浮在液相中。该方法将我们最近的二维模型[A. Joshi和Y. Sun，《物理评论E》79，066703（2009）]推广到三维，扩展了其中提出的隐式格式以包括颗粒间作用力，并引入了一个蒸发模型来模拟胶体液滴的干燥过程。LBM用于研究含有悬浮固体颗粒的液滴在均匀和有图案基底上的动态润湿行为。研究了颗粒体积分数和颗粒尺寸对液滴铺展动力学的影响，以及载液蒸发后悬浮颗粒在基底上的最终沉积情况。最终的颗粒沉积可以通过基底图案化、调整基底表面能以及蒸发速率来控制。该模型的一些预期应用包括深入理解胶体液滴动力学、预测功能材料喷墨打印过程中的颗粒沉积以及模拟多孔介质中液体的干燥过程。
