杨氏方程的能量求解法及润湿角计算模型

Obtaining of Young Equation by Principle of Energy and Establishment of Wetting Angle Model

关键词:  杨氏方程  润湿角  界面张力

Key words:  young equation  wetting angle  surface tension

摘要:

杨氏方程是通过建立物理模型,利用力学平衡条件所推得,文中从另一角度出发,利用能量最小原理对润湿角与界面张力间的关系进行了推导,所推得的结论与杨氏方程的结论一致。在钎焊过程中,润湿角的大小是评价润湿效果的一项重要指标,但由于界面张力的值较难获得,通过杨氏方程来求解润湿角的值存在诸多困难,而通过试验仪器的方法去测量润湿角的大小,既增加了试验成本,又降低了试验效率。文中建立了一种简便求解润湿角的计算模型,并进行了试验验证,将计算值与实测值进行了比较,二者吻合良好。

Abstract:

Young equation is concluded according to the mechanical equilibrium of the physical model.The article concludes the relation between surface tension and wetting angle by the principle of energy,as a result,both the conclusion concluded and the Young equation are unanimous.Wetting angle is an important factor to evaluate wetting ability of filler material.However,it is difficult to obtain the value of surface tension of materials and then solve the value of wetting angle by Young equation.If we measure wetting angle by instrument,the experimental cost will rise and experimental efficiency will decline.In this study,we establish a simple mathematical model of calculating wetting angle and compare the calculated results with the measured results,and the result shows that the distinction of them is little.