中文摘要：

本文建立了液体喷雾在高频感应等离子体内运动和蒸发的数学模型，在考虑喷雾液滴相互碰撞和喷雾与等离子体相互耦合效应的情况下，模拟了不同喷雾参数下液体喷雾在高频感应等离子内的运动和蒸发。单个液滴的计算结果和文献中的实验结果进行了比较，结果吻合良好。模拟表明，在通常情况下，喷雾液体的碰撞会导致更大尺寸液滴的形成，从而延缓喷雾的完全蒸发。结果还表明，液体喷雾蒸发对等离子体温度场的局部冷却效应明显，因此必须考虑两者的耦合效应。

英文摘要：

A mathematical model was developed to study the injection and evaporation of liquid sprays in a radio frequency inductively coupled plasma. Droplet collisions within the spray and the interactions between sprays and the plasma are considered. The model was used to simulate the motion and evaporation of liquid sprays in the plasma under different spray parameters. The model was validated by comparing numerical results of the motion and evaporation of an individual droplet to the experimental measurements from the literatures. The results indicate that droplet collisions lead to the increase of the height of complete evaporation for the spray in the plasma. It also shows that the local cooling effect of the evaporation of liquid sprays on the plasma is evident. Therefore, two-way interactions between the sprays and the plasma should be considered.