For the collision and coagulation of dielectric nanoparticles randomly oriented and moving in an electric field, the collision frequency function of the particles in Stokes regime is derived. The numerical solution obtained by the Taylor expansion moment method in the Stokes regime coagulation problem is very consistent with the numerical solution obtained by the previous study of the TEMOM model. In this paper, the first-order ordinary differential equations are constructed to obtain closed-form expressions. The fourth-order Runge-Kutta algorithm is used to derive the particle concentration of the dielectric nanoparticles under different electric field strengths and different polarities. The law of variation of the polydispersity of the system during coagulation and rupture. These expressions are used in simple overall balance expressions to illustrate the importance of their range of physical parameter values encountered in real systems. The results show that this method can be used to solve the accuracy of the general kinetic equation in the process of particles coagulation under electric field, and the calculation cost is low.

中文翻译：

---

泰勒展开矩法研究斯托克斯区电介质纳米粒子的凝聚规律

对于在电场中随机取向和移动的介电纳米粒子的碰撞和凝聚，推导出了斯托克斯区粒子的碰撞频率函数。泰勒展开矩法在斯托克斯区混凝问题中得到的数值解与之前研究TEMOM模型得到的数值解非常吻合。在本文中，构造一阶常微分方程以获得闭式表达式。四阶Runge-Kutta算法用于推导不同电场强度和不同极性下介电纳米粒子的粒子浓度。凝固和破裂过程中体系多分散性的变化规律。这些表达式用于简单的整体平衡表达式，以说明它们在实际系统中遇到的物理参数值范围的重要性。结果表明，该方法可以解决电场作用下粒子凝聚过程中一般动力学方程的精度问题，且计算成本低。