摘要：从分析两黏性颗粒的相对切向运动着手,化二阶变系数非齐次液桥流体压力微分方程为欧拉方程,解得具有相对运动的不等径颗粒间液桥流体压力和切向黏性阻力的渐近解析解,并与Goldman意义上的近似解和其他文献中的数值解进行对比。结果表明:利用这些解析解可直接定义黏性颗粒力学模型,也可分析不同参数条件下液桥流体压力与颗粒间切向阻力的变化规律。

关键词： 黏性颗粒；黏性阻力；液桥；解析解

Abstract：Based on the analysis of two particles with relative movement, the second-order liquid bridge fluid press differential equation with variable coefficients was changed into Euler equation. Therefore， the asymptotic analytical solution of liquid bridge fluid press and viscous shear resistance between two relatively moving unequal diameter viscous particles were solved. Compared with the approximate solution of Goldman and the numerical solution of other references， the rationality of these analytical solutions could be confirmed. These analytical solutions was applied to the definition of mechanical model of viscous particles， and they were also used to analyze the regularity for change of liquid bridge fluid press and shear resistance under the conditions of different parameters. 

Keywords：viscous particles； viscous resistance； liquid bridge； analytical solution