Dependence of the inverted temperature gradient phenomenon on the condensation coefficient

Meland, Roar; Ytrehus, Tor

doi:10.1063/1.1644146

Cited by 8 publications

(8 citation statements)

References 8 publications

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“…Comparison with Eqs. (26) and (28) indicates that for the Maxwellian case R 11 −1 = R 22 −1 = 1 and R 12 −1 = R 21 −1 = 0, so that in this case R is the unit matrix.…”

Section: B Mass and Energy Fluxmentioning

confidence: 99%

“…A popular configuration for studying one-dimensional evaporation and condensation phenomena is the parallel surface geometry [7,8,21,[25][26][27][28], a topic that goes beyond the scope of this paper and will not be further discussed. Another interesting recent approach to the topic is the Van der Waals square gradient model [29][30][31], which also shall not be discussed further.…”

Section: Introductionmentioning

confidence: 99%

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Mean evaporation and condensation coefficients based on energy dependent condensation probability

2004

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A generalization of the classical Hertz-Knudsen and Schrage laws for the evaporation mass and energy fluxes at a liquid-vapor interface is derived from kinetic theory and a simple model for a velocity dependent condensation coefficient. These expressions, as well as the classical laws and simple phenomenological expressions, are then considered for the simulation of recent experiments [Phys. Rev. E 59, 419 (1999)]]. It is shown that mean condensation and evaporation coefficients in the mass flow influence the results only if they are small compared to unity and that the expression for evaporation mass flow determines the temperature of the liquid. Moreover, it is shown that the expression for evaporation energy flow plays the leading role in determining the interface temperature jump, which can be obtained in good agreement with the experiment from the generalized kinetic theory model and phenomenological approaches, but not from the classical kinetic-theory-based Hertz-Knudsen and Schrage laws. Analytical estimates show that the interface temperature jump depends strongly on the temperature gradient of the vapor just in front of the interface, which explains why much larger temperature jumps are observed in spherical geometry and the experiments as compared to planar settings.

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“…Comparison with Eqs. (26) and (28) indicates that for the Maxwellian case R 11 −1 = R 22 −1 = 1 and R 12 −1 = R 21 −1 = 0, so that in this case R is the unit matrix.…”

Section: B Mass and Energy Fluxmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Mean evaporation and condensation coefficients based on energy dependent condensation probability

2004

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“…Since it has been found that the KBC significantly affects the macroscopic variables obtained from Eq. (1) [8,9] during net evaporation and condensation, the proper specification of the KBC at the interface is critical. One of the most conventional forms of the KBC is shown as follows:…”

Section: Introductionmentioning

confidence: 99%

Liquid temperature dependence of kinetic boundary condition at vapor–liquid interface

Kon

Kobayashi

Watanabe

2016

International Journal of Heat and Mass Transfer

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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.

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“…12,26,30 Moreover, theoretical study was conducted on these phenomena, and the threshold of the occurrence was reported. 31 Negative mass flows were investigated by Onishi 29 (but never occurred in the present simulation). Detailed explanations of these phenomena are beyond the scope of this study.…”

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confidence: 99%

Method of determining kinetic boundary conditions in net evaporation/condensation

2014

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The aim of the present study is to develop the method of determining the kinetic boundary condition (KBC) at a vapor-liquid interface in net evaporation/condensation. We proposed a novel method for determining the KBC by combining the numerical simulations of the mean field kinetic theory and the molecular gas dynamics. The method was evaluated on steady vapor flow between two liquid slabs at different temperatures. A uniform net mass flux in the vapor phase induced by net evaporation and condensation is obtained from the numerical simulation of the mean field kinetic theory for both vapor and liquid phases. The KBC was specified by using the uniform net mass flux, and the numerical simulation of the molecular gas dynamics was conducted for the vapor phase. Comparing the macroscopic variables in the vapor phase obtained from both numerical simulations, we can validate the KBC whether the appropriate solutions are obtained. Moreover, the evaporation and condensation coefficients were estimated uniquely. The results showed that the condensation and evaporation coefficients were identical and constant in net evaporation. On the other hand, in net condensation, the condensation coefficient increased with the collision molecular mass flux. We also presented the applicable limit of the KBC which is assumed to be the isotropic Gaussian distribution at the liquid temperature. From these results, the KBCs in net evaporation and condensation, which enable the exact macroscopic variables to be determined, were proposed. C 2014 AIP Publishing LLC. [http://dx

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Dependence of the inverted temperature gradient phenomenon on the condensation coefficient

Abstract: This Brief Communication considers the effect of the condensation coefficient on the inverted temperature gradient phenomenon in a two-plate geometry, assuming diffuse reflection at the interfaces.

Cited by 8 publications

References 8 publications

Mean evaporation and condensation coefficients based on energy dependent condensation probability

Mean evaporation and condensation coefficients based on energy dependent condensation probability

Liquid temperature dependence of kinetic boundary condition at vapor–liquid interface

Method of determining kinetic boundary conditions in net evaporation/condensation

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