Chang You-Im, Huang Tzu-Yen, Peng Teng-Hui
Department of Chemical Engineering, Tunghai University, Taichung 40704, Taiwan.
J Colloid Interface Sci. 2006 Nov 1;303(1):185-94. doi: 10.1016/j.jcis.2006.07.065. Epub 2006 Jul 28.
The main scope of the present paper is to study the rigorous problem of coupled gravity-induced/Brownian flocculation for the strong Brownian/weak gravity case, by solving the coupled Langevin type equations on determining the Brownian particles' collision trajectories. When comparing with the previous results, our numerical calculated flocculation rates are as good as those solutions obtained from using the singular perturbation expansion method to solve the steady state governing convective diffusion equation. Our solutions also confirm that the effect of Brownian diffusion can decrease the flocculation rates of colloidal particles under the condition of strong Brownian/weak gravity.
本文的主要范围是通过求解用于确定布朗粒子碰撞轨迹的耦合朗之万型方程，研究强布朗/弱重力情况下耦合重力诱导/布朗絮凝的严格问题。与先前的结果相比，我们数值计算得到的絮凝速率与使用奇异摄动展开法求解稳态对流扩散方程所得到的解一样好。我们的解还证实，在强布朗/弱重力条件下，布朗扩散效应会降低胶体颗粒的絮凝速率。
