液滴碰撞水平壁面的最大铺展系数

The Maximum Spreading Factor of the Droplet Impacting the Horizontal Surface

液滴碰撞水平壁面的最大铺展系数,已有大量半经验公式或近似公式,目前尚无理论解。将液滴碰壁过程分解为跌落、碰撞和铺展三个子过程,引入圆柱状液滴假设,利用层流不可压缩轴对称驻点流动模式,推导了最大铺展系数的理论公式,并结合文献数据对该理论公式进行了验证,发现,在雷洛数不大于21,698的情况下,理论公式和实际结果有较好的符合性,并对部分半经验公式和近似公式有良好的解释作用。

There is plenty of semi-empirical formula or approximate formula on the maximum spreading factor of the droplet impacting the horizontal surface,but no theoretical solution now yet.The process of droplet impacting the surface is broken down into three sub-processes of drop,collision and spreading;the cylindrical droplet hypothesis is introduced,the laminar incompressible axisymmetric stagnation flow pattern is used,the theoretical formula of maximum spreading factor is deduced,and the theoretical formula combined with the literature data is verified.It shows that in the case where the Reynolds number is not more than 21,698,the theoretical formula and the actual result have a good compliance,and have a good explanation to some semi-empirical formula or approximate formula.