Liquid temperature dependence of kinetic boundary condition at vapor–liquid interface. (August 2016)

• Record Type: Journal Article
• Authors: Kon, Misaki; Kobayashi, Kazumichi; Watanabe, Masao
• Is Part Of: International journal of heat and mass transfer. Volume 99(2016:Aug.)
• Page Start: 317
• Page End: 326
• Publication Date: 2016-08
• Subjects: Kinetic boundary condition -- Evaporation and condensation -- Vapor–liquid interface -- Kinetic theory of gases; Heat -- Transmission -- Periodicals; Mass transfer -- Periodicals; Chaleur -- Transmission -- Périodiques; Transfert de masse -- Périodiques; Electronic journals; 621.4022
• DOI: 10.1016/j.ijheatmasstransfer.2016.03.088
• Languages: English
• ISSNs: 0017-9310

Abstract

Highlights: The aim of this study is to propose a microscopic interfacial model which should be imposed at the interface as the kinetic boundary condition for the Boltzmann equation. We constructed the kinetic boundary condition for monoatomic molecules over a wide range of liquid temperature based on mean field kinetic theory, and we validated the accuracy of the constructed kinetic boundary condition by solving the boundary value problem of the Boltzmann equation. The results of this study showed that we can impose the kinetic boundary condition at the interface by simply knowing liquid temperature and simulate the complex vapor–liquid two-phase flow induced by net evaporation/condensation. We applied the constructed kinetic boundary condition to the boundary condition for the fluid-dynamic-type equations. This application enables us to deal with a large spatio-temporal scale of the interfacial dynamics in the vapor–liquid two-phase system with net evaporation/condensation. Abstract: For the accurate description of heat and mass transfer through a vapor–liquid interface, the appropriate modeling of the interface during nonequilibrium phase change (net evaporation/condensation) is a crucial issue. The aim of this study is to propose a microscopic interfacial model which should be imposed at the interface as the kinetic boundary condition for the Boltzmann equation. In this study, we constructed the kinetic boundary condition for monoatomic molecules over a wide range of liquid temperature based on mean field kinetic theory, and we validated the accuracy of the constructed kinetic boundary condition by solving the boundary value problem of the Boltzmann equation. These results showed that we can impose the kinetic boundary condition at the interface by simply specifying liquid temperature and simulate the complex vapor–liquid two-phase flow induced by net evaporation/condensation. Furthermore, we applied the constructed kinetic boundary condition to the boundary condition for the fluid-dynamic-type equations. This application enables us to deal with a large spatio-temporal scale of the interfacial dynamics in the vapor–liquid two-phase system with net evaporation/condensation.