对球状液滴拉普拉斯公式热力学推导方法的讨论

Discussion on Thermodynamic Derivation of Laplace Formula for Spherical Droplet

本文针对球状液滴拉普拉斯公式热力学推导方法进行了讨论分析。首先从界面热力学基本方程的建立方法和界面热力学基本方程中作为偏微分的压强的数学定义两个角度进行分析,得出了液滴界面热力学基本方程中,压强为与之平衡的外界气体压强。另外,从实际发生的物理过程来看,本文所质疑的球状液滴拉普拉斯公式的热力学推导方法采用无外力做功时液滴体积增大d V的过程是明显违反热力学第一定律的。

In this paper,thermodynamic derivation of Laplace formula for spherical droplet is discussed.Firstly,based on the analyzing by establishment method and mathematical definition of pressure in interface thermodynamic equation,it should be pointed out that the pressure of spherical droplet in formula is equal to the equilibrium pressure of external gas. In addition,by discussing the real physical process,the process of spherical droplet with change of d V when there is no external force acting used in derivation of formula is a clear violation of the first law of thermodynamics.