多分散粉末流摩擦带电的欧拉公式
Eulerian formulation for the triboelectric charging of polydisperse powder flows
摘要：
我们提出了一个欧拉制定的粉末流的摩擦带电。最近，出现了单分散和双分散粉末荷电的连续描述。现在，我们提出了第一个欧拉制定这种类型的流动，可以充分考虑多分散颗粒尺寸分布。为此，联合颗粒尺寸，速度和电荷分布函数是通过直接求积矩法求解的。新建立的方法包括颗粒接触固体壁时静电荷的吸收和碰撞过程中颗粒之间的电荷交换。由颗粒的电荷和周围气体的拖曳力引起的静电场影响颗粒动力学。二维定常槽道流动的试验情况表明，从壁向中心和下游方向的流动充电。此外，该方法预测的颗粒尺寸和初始速度分布和电荷扩散系数的变化的影响。处理多分散性的能力是在全面技术应用中模拟真实粉末流的电荷积累的一步。
英文摘要：
We propose an Eulerian formulation for the triboelectric charging of powder flows. Recently, continuum descriptions of the charging of monodisperse and bidisperse powder appeared. Now, we propose the first Eulerian formulation for this type of flows that can fully account for polydisperse particle size distributions. To this end, the joint particle size, velocity, and charge distribution function is solved through the direct quadrature method of moments. The newly established approach includes the uptake of electrostatic charge by the particles when contacting a solid wall and the exchange of charge in-between particles during collisions. The electrostatic field induced by the charge of the particles and the drag forces of the surrounding gas affect the particle dynamics. Test cases of two-dimensional steady channel flows demonstrate the charging of the flow from the walls towards the center and in downstream direction. Further, the method predicts the effect of variations of the particle size and initial velocity distribution and the charge diffusion coefficient. The ability to handle polydispersity is a step towards the simulation of the electric charge build-up of real powder flows in full-scale technical applications.
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