The objectives of this paper are to develop a numerical model to accurately predict the electrostatic forces (attractive and repulsive) that develop between charged polymer particles in contact with a grounded carbon fiber and use the results to determine the particle-to-particle equilibrium spacing on the carbon fiber as a function of the attractive force and associated friction coefficient that exists between the particle and the carbon fiber surface. The numerical model was validated with closed form solution to predict repulsive electrostatic force between two particles in space. The numerical approach is extended to predict electrostatic forces in a multicomponent system consisting of two interacting polystyrene particles in contact with a carbon fiber. A parametric study is conducted to study the effects of particle spacing, particle surface charge, and particle radii ratios (R₂/R₁ = 1, 2, and 5) on electrostatic forces. The parametric results are useful in the design of electrostatic powder impregnation processes for composites where the fiber volume fraction is determined by the diameter of particle size, particle charge and equilibrium spacing governed by electrostatic forces and particle/fiber surface frictional interactions.

本文的目的是建立一个数值模型，以准确预测与接地碳纤维接触的带电聚合物颗粒之间产生的静电力（有吸引力的和排斥的），并使用结果确定颗粒之间的平衡间距。碳纤维是存在于颗粒和碳纤维表面之间的吸引力和相关摩擦系数的函数。用封闭形式的溶液对数值模型进行了验证，以预测空间中两个粒子之间的排斥静电力。扩展了数值方法，以预测多组分系统中的静电力，该系统由与碳纤维接触的两个相互作用的聚苯乙烯颗粒组成。进行了参数研究来研究粒子间距的影响，₂ / R ₁  = 1、2和5）的静电力。该参数结果可用于设计复合材料的静电粉末浸渍工艺，其中纤维体积分数由粒径大小，颗粒电荷和平衡间距（由静电力和颗粒/纤维表面摩擦相互作用控制）决定。