Analytical consideration of thermodynamic jump condition

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  • 熱力学的界面ジャンプ条件の解析的考察
  • ネツリキガクテキ カイメン ジャンプ ジョウケン ノ カイセキテキ コウサツ

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Abstract

At a gas-liquid interface, there are many unknown physical and chemical phenomena related to thermodynamics, electromagnetics, hydrodynamics, and heat and mass transfer. Therefore, a modeling of gas-liquid interface is one of key issues of interfacial phenomena of multiphase flows. In the previous our study, having assumed that the interface is a thin membrane and has a finite thickness, we have developed a new mathematical model of the gas-liquid interface based on thermodynamics and mathematical approach. In that study, we have derived the new equation of free energy based on the lattice gas model including the influence of electric double layer on the interface caused by a contamination. Then, by using this interface model, we derive the jump condition at gas-liquid interface treated by thermodynamics. In this study, we discuss on the thermodynamic jump condition in macroscopic scale through the analytical treatment. Finally, we reveal the force vector fields on the gas-liquid interface depending on an electric potential and a distribution of the contamination at the interface.

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