Evaporation of droplets into a background gas: Kinetic modelling

Sazhin, Sergei; Shishkova, I. N.; Kryukov, A. P.; Levashov, V. Yu.; Heikal, Morgan

doi:10.1016/j.ijheatmasstransfer.2006.11.043

Cited by 49 publications

(73 citation statements)

References 50 publications

(89 reference statements)

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“…(8) connects the evaporation flux, jm, with both the gradient of vapour concentration in the normal direction and the concentration itself. On the other hand, the rate of mass transfer across the liquid-gas interface is given by the Hertz-Knudsen-Langmuir equation [22,23]:…”

Section: Boundary Conditionsmentioning

confidence: 99%

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Evaporation of pinned sessile microdroplets of water on a highly heat-conductive substrate: Computer simulations

Semenov

Starov

Rubio

2013

Eur. Phys. J. Spec. Top.

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Citation: SEMENOV, S., STAROV, V. and RUBIO, R., 2013. Evaporation of pinned sessile microdroplets of water on a highly heat-conductive substrate:Computer simulations. European Physical Journal: Special Topics, 219(1), pp. AbstractThe aim of current numerical study is to investigate the influence of individual effects (kinetic effects, latent heat of vaporization, Marangoni convection, Stefan flow, droplet's surface curvature) on the rate of evaporation of water droplet placed on a highly heat conductive substrate for different sizes of the droplet (down to submicron sizes). We performed simulations for one particular set of parameters:ambient relative air humidity is set to 70%, ambient temperature is 20°C, contact angle is 90°, and substrate material is copper. Suggested model combines both diffusive and kinetic models of evaporation. The obtained results allow estimating the characteristic droplet sizes where each of the mentioned above phenomena become important or can be neglected.

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Section: Boundary Conditionsmentioning

confidence: 99%

“…Hertz-Knudsen-Langmuir equation [22,23] is used as a boundary condition at the liquid-gas interface instead of a condition of saturated vapour. The overall evaporation rate is limited either by the rate of vapour diffusion into ambient gas or by the rate of molecules transfer across the liquid-gas interface.…”

mentioning

confidence: 99%

Evaporation of pinned sessile microdroplets of water on a highly heat-conductive substrate: Computer simulations

Semenov

Starov

Rubio

2013

Eur. Phys. J. Spec. Top.

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“…Other systems of kinetic equations can be found for analogous systems (see e.g. [52,53]), but they do not correspond to the purely kinetic regime that we are considering, because they deal with larger droplets (R > 1µm) and longer time scales, more relevant to the fields of combustion or atmospheric sciences, so they need to combine the kinetic approach with the more classic hydrodynamic theories of droplet evaporation [54].…”

Section: B Kinetic Equationsmentioning

confidence: 99%

Droplet evolution in expanding flow of warm dense matter

Armijo

Barnard

2011

Phys. Rev. E

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We propose a simple, self-consistent kinetic model for the evolution of a mixture of droplets and vapor expanding adiabatically in vacuum after rapid, almost isochoric heating. We study the evolution of the two-phase fluid at intermediate times between the molecular and the hydrodynamic scales, focussing on out-of-equilibrium and surface effects. We use the Van der Waals equation of state as a test-bed to implement our model and study the phenomenology of the upcoming NDCXII ion heating experiments at LBNL. We find an approximate expression for the temperature difference between the droplets and the expanding gas and we check it with numerical calculations. The formula provides a useful criterion to distinguish the thermalized and non-thermalized regimes of expansion. In the thermalized case, the liquid fraction grows in a proportion that we estimate analytically, whereas, in case of too rapid expansion, a strict limit for the evaporation of droplets is derived. The range of experimental situations is discussed.

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“…The limitation of this approach, even in the case of evaporation at high pressures, has been discussed in a number of papers [1][2][3][4][5]. In these papers the evaporation of n-dodecane (the nearest approximation for Diesel fuel) has been considered and a new model for the analysis of droplet heating and evaporation has been developed on the basis of the combination of kinetic and hydrodynamic approaches.…”

Section: Introductionmentioning

confidence: 99%

“…They will be referred to as the evaporation/condensation coefficient. In the above mentioned papers [1][2][3][4][5], it has been implicitly or explicitly assumed that the distribution function is isotropic Maxwellian with the temperature equal to the liquid surface temperature. The values of the evaporation/condensation coefficients have been assumed equal to 0.04 and 0.5 (the minimal and average value of this parameter for water) [1] or 1 [2][3][4][5].…”

Section: Introductionmentioning

confidence: 99%

Molecular Dynamics Study of Condensation/Evaporation and Velocity Distribution of N-Dodecane at Liquid-Vapour Phase Equilibria

Xie

Sazhin

Cao

2012

JTST

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Some recent results of molecular dynamics simulations of the condensation/evaporation and velocity distribution of n-dodecane (C 12 H 26 ), the closest approximation to Diesel fuel, at a liquid-vapour interface in equilibrium state are briefly described. It is shown that molecules at the liquid surface need to gain relatively large translational energy to evaporate. Vapour molecules with large translational energy can easily penetrate deep into the transition layer and condense in the liquid phase. The evaporation/condensation coefficient is shown to be controlled mainly by the translational energy. The properties of the velocity distribution functions of molecules at the liquid, interface and vapour regions are summarised. It has been shown that the distribution functions of evaporated and reflected molecules for the velocity component normal to the surface deviate considerably from the Maxwellian, while the distribution function for all molecules leaving this surface (evaporated and reflected) is close to Maxwellian. The evaporation coefficient has been shown to increase with increasing molecular energy in the direction perpendicular to the surface. These properties have been recommended to be taken into account when formulating boundary conditions for kinetic modelling.

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Evaporation of droplets into a background gas: Kinetic modelling

Cited by 49 publications

References 50 publications

Evaporation of pinned sessile microdroplets of water on a highly heat-conductive substrate: Computer simulations

Evaporation of pinned sessile microdroplets of water on a highly heat-conductive substrate: Computer simulations

Droplet evolution in expanding flow of warm dense matter

Molecular Dynamics Study of Condensation/Evaporation and Velocity Distribution of N-Dodecane at Liquid-Vapour Phase Equilibria

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