电场作用下纳米颗粒与竖直壁面的碰撞效率

着重考虑了电场作用下，壁面排斥力对颗粒-壁面碰撞效率的影响. 采用Matlab 中的龙格库塔方法，对颗粒-壁面碰撞的压缩阶段及回弹阶段的动力学方程组进行求解，并对Maxwell 速度分布进行积分获得不同速度方向下的碰撞效率. 研究表明，颗粒的碰撞效率随着碰撞角度的增加而增大，并最终达到一个临界值，即完全凝并时的碰撞效率；且颗粒的碰撞效率将因壁面排斥力的影响而减小，即壁面排斥力在一定程度上阻碍了颗粒的凝并. 

RESEARCH ON THE COLLISION EFFICIENCY OF NANO-PARTICLE-TO-WALL WITH EXTERNAL ELECTRIC FIELD

In this paper, we focus on the effect of surface repulsive force on the collision efficiency of particle under the action of electric field. We first solve the dynamic equations of the compression and spring-back of particle-wall collision by using the Runge-Kutta method in Matlab, and then obtain the collision efficiency based on the integral of Maxwell speed distribution. The results indicate that the particle collision efficiency increases with the increasing of collision angle, and finally it will reach a critical value for the collision efficiency when particles are completely coagulated. In addition, we find that the particle collision efficiency will decrease when the surface repulsive force is considered, which illustrates that the surface repulsive force will partly hinder the coagulation of particles.