Institute of Biocolloid Chemistry, 03142 Kiev, Ukraine.
Adv Colloid Interface Sci. 2012 Nov 1;179-182:99-106. doi: 10.1016/j.cis.2011.05.009. Epub 2011 May 25.
The forces acting in colloidal suspensions and affecting their stability and aggregation kinetics are considered. The approximations used for these forces in numerical simulations and the importance of the balanced account for both colloidal forces and hydrodynamic interactions are discussed. As an example the results of direct numerical simulations of kinetics of aggregation either with account for hydrodynamic interaction between particles or without it are compared by varying the parameters of the interaction potential between particles and fraction of solid. Simulations are based on the Langevin equations with pairwise interaction between particles and take into account Brownian, hydrodynamic and colloidal forces. It is confirmed that the neglecting of hydrodynamic interaction results in an accelerated growth of aggregates. The results of numerical simulations of aggregation kinetics are compared with well known analytical solutions.
考虑了胶体悬浮液中的作用力及其对稳定性和聚集动力学的影响。讨论了在数值模拟中这些力的近似方法,以及平衡考虑胶体力和流体动力相互作用的重要性。作为一个例子,通过改变颗粒间相互作用势能的参数和固体分数,比较了考虑或不考虑颗粒间流体动力相互作用时聚集动力学的直接数值模拟结果。模拟基于具有颗粒间成对相互作用的朗之万方程,并考虑了布朗运动、流体动力和胶体力。证实了忽略流体动力相互作用会导致聚集体的生长加速。聚集动力学的数值模拟结果与著名的解析解进行了比较。