具有非均分涨落动能的双分散碰撞颗粒流的电荷输运方程
Charge Transport Equation for Bidisperse Collisional Granular Flows with Nonequipartitioned Fluctuating Kinetic Energy
摘要：
从Boltzmann-Enskog动力学方程出发，推导出接触带电双分散颗粒流的电荷输运方程，其中每个固相的平均速度、总动能、电荷和电荷方差独立。为了封闭局部平均输运方程，假设粒子速度和电荷均为麦克斯韦分布。本文首先重新讨论了双分散固体混合物的流体力学方程，然后提出了由质量、动量、总动能（颗粒温度与脉动运动张量迹之和）和电荷的输运方程组成的模型。相位之间的电荷转移和相位内的电荷积累被建模为具有相位之间的局部电荷和有效功函数差以及局部电场。通过硬球模拟三维空间均匀，准一维空间不均匀的双分散颗粒气体和三维隔离双分散颗粒流与导电壁的流体力学方程和导出的本构关系的电荷输运方程进行评估。
英文摘要：
Starting from the Boltzmann-Enskog kinetic equations, the charge transport equation for bidisperse granular flows with contact electrification is derived with separate mean velocities, total kinetic energies, charges and charge variances for each solid phase. To close locally-averaged transport equations, a Maxwellian distribution is presumed for both particle velocity and charge. The hydrodynamic equations for bidisperse solid mixtures are first revisited and the resulting model consisting of the transport equations of mass, momentum, total kinetic energy, which is the sum of the granular temperature and the trace of fluctuating kinetic tensor, and charge is then presented. The charge transfer between phases and the charge build-up within a phase are modelled with local charge and effective work function differences between phases and the local electric field. The revisited hydrodynamic equations and the derived charge transport equation with constitutive relations are assessed through hard-sphere simulations of three-dimensional spatially homogeneous, quasi-onedimensional spatially inhomogeneous bidisperse granular gases and a three-dimensional segregating bidisperse granular flow with conducting walls.
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