中文摘要：

通过建立液滴撞击固体平壁的静态铺展力学平衡的数学模型,从理论上得到了静态铺展半径与液滴物性参数、以及液滴与固体壁面接触角之间关系的数学表达式,将理论结果与数值模拟的结果进行了比较,两者吻合较好.比较了不同条件下液滴的静态铺展半径的变化规律,分别得到了液滴密度、体积、表面张力和接触角等因素对液滴静态铺展半径的影响规律.

英文摘要：

The droplet property has an important effect on the spreading area of a droplet impact on the solid surface. The theoretical method has been established to develop the mathematical model of the droplet based on the static force balance. We first obtained the mathematical expression of the relationship among the static spreading radius, the droplet physical parameters and the contact angle. A computational fluid dynamics （CFD） model was used to simulate drop dynamics on the solid surface. The static spreading radius and the static height solved by theoretical analysis are compared with those from simulation results. Theoretical results show reasonably good agreement with the simulation data. It has been demonstrated that for the different droplets on solid surface, the static spreading radius is determined with the density, the volume, the surface tension coefficient and the contact angle, and without the velocity.