Kinetic Theory of Evaporation and Condensation –Hydrodynamic Equation and Slip Boundary Condition–

Sone, Yoshio; Onishi, Yoshimoto

doi:10.1143/jpsj.44.1981

Cited by 170 publications

(95 citation statements)

References 20 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…It is a purely non-equilibrium effect caused by the Knudsen layer. The non-uniform pressure has been observed in molecular dynamics (MD) simulations (Holyst & Litniewski 2008;Cheng et al 2011;, kinetic theory computations (Sone & Onishi 1978) and previous works Struchtrup & Taheri 2011) for different flow configurations. Evidently, the NSF equations fail to capture this phenomenon.…”

Section: Solution To the R13 Equationsmentioning

confidence: 94%

“…This problem has been studied fairly extensively, e.g. Sone & Onishi (1978), Chernyak & Margilevskiy (1989), Takata et al (1998), which allows us to test the accuracy of the derived evaporation/condensation boundary conditions for the extended moment equations. Let the temperature and pressure of the vapour at a distance far from the surface of the droplet be given by T ∞ and ℘ ∞ , respectively.…”

Section: Problem Statementmentioning

confidence: 99%

“…To establish the limits of applicability of our analytic solutions, we will compare them with numerical solution of the LBE based on both the S-model (Chernyak & Margilevskiy 1989), and hard-sphere molecules (Sone & Onishi 1978;Takata et al 1998;Sone 2007), for the case of complete evaporation (ϑ = 1). Therefore, henceforth, ϑ = 1.…”

Section: Summary Of Modelsmentioning

confidence: 99%

“…The LBE with S-model predicts that the mass-flux coefficient c 1 (= vr 2 ) → 0.6654 as Kn → 0 (Chernyak & Margilevskiy 1989) whilst Sone & Onishi (1978) applied the asymptotic method to the LBE for hard-sphere molecules to obtain c 1 → 0.6633 as Kn → 0. The value 0.66-0.67 can be directly compared to those obtained from the macroscopic models, as tabulated in table 2, for a gas composed of Maxwell molecules and for the BGK model.…”

Section: Pressure-driven Flowmentioning

confidence: 99%

See 3 more Smart Citations

Evaporation-driven vapour microflows: analytical solutions from moment methods

2018

View full text Add to dashboard Cite

Macroscopic models based on moment equations are developed to describe the transport of mass and energy near the phase boundary between a liquid and its rarefied vapour due to evaporation and hence, in this study, condensation. For evaporation from a spherical droplet, analytic solutions are obtained to the linearised equations from the Navier-Stokes-Fourier, regularised 13-moment and regularised 26-moment frameworks. Results are shown to approach computational solutions to the Boltzmann equation as the number of moments are increased, with good agreement for Knudsen number 1, whilst providing clear insight into non-equilibrium phenomena occurring adjacent to the interface.

show abstract

Section: Solution To the R13 Equationsmentioning

confidence: 94%

Section: Problem Statementmentioning

confidence: 99%

Section: Summary Of Modelsmentioning

confidence: 99%

Section: Pressure-driven Flowmentioning

confidence: 99%

See 2 more Smart Citations

Evaporation-driven vapour microflows: analytical solutions from moment methods

2018

View full text Add to dashboard Cite

show abstract

“…Juric et al (3) used the phase change model based on the kinetic theory of gases for simulating the boiling flow, however, the equilibrium state is assumed. The boundary conditions at the liquid-vapor interface in a non-equilibrium state of vapor was obtained by Sone et al (10) (11) from a systematic asymptotic analysis of the Boltzmann equation. The present authors believe that the phase boundary conditions (11) enables us to predict appropriately the heat and fluid flow phenomena involving phase change on the basis of the Navier-Stokes equation system.…”

Section: Introductionmentioning

confidence: 99%

Numerical Simulation of Flow with Phase Change Using Phase Boundary Conditions Based on the Kinetic Theory of Gases

Ohshima

Kajishima

2012

JFST

View full text Add to dashboard Cite

A numerical method for liquid-vapor two-phase flows accompanied by condensation/ evaporation is proposed. The phase change model at the vapor-liquid interface, which had been theoretically derived by Sone and Onishi, is coupled with an interface capturing scheme. The model gives the condensation/evaporation rate as boundary conditions. The interface is captured by the volume-of-fluid method associated by the reconstruction scheme, and the scheme to obtain the pressure with consideration for thermodynamics in the vicinity of the interface is employed. These methods are coupled and arranged on the cylindrical coordinate system to appropriately deal with the liquid film flow around a cool cylinder in a natural convection of vapor. The development of a liquid film due to the condensation, the flow in a thin layer and a drop of the distilled liquid are successfully reproduced in our result. The influence of the volumetric conservation is confirmed by comparing the results of condensation case and a non-condensation case. Besides the Nusselt number is in good agreement with a theoretically estimated value.

show abstract

Kinetic Modelling of Droplet Heating and Evaporation

Sazhin

2014

Droplets and Sprays

View full text Add to dashboard Cite

Kinetic Theory of Evaporation and Condensation –Hydrodynamic Equation and Slip Boundary Condition–

Cited by 170 publications

References 20 publications

Evaporation-driven vapour microflows: analytical solutions from moment methods

Evaporation-driven vapour microflows: analytical solutions from moment methods

Numerical Simulation of Flow with Phase Change Using Phase Boundary Conditions Based on the Kinetic Theory of Gases

Kinetic Modelling of Droplet Heating and Evaporation

Contact Info

Product

Resources

About