Vapor flows caused by evaporation and condensation on two parallel plane surfaces: Effect of the presence of a noncondensable gas

Aoki, Kazuo; Takata, Shigeru; Kosuge, Shingo

doi:10.1063/1.869671

Cited by 57 publications

(63 citation statements)

References 34 publications

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“…The step of free movements simply coincides if we have in mind that the velocities are random and not fixed in statistical simulation. The relaxation step in [3] is implemented differently than in the method used by the authors of the present work. Nonetheless, Fig.…”

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Recondensation in the Presence of a Noncondensable Component

Kryukov

Levashov

Shishkova

2005

J Eng Phys Thermophys

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Flows of two-component mixtures with vapor condensation on cooled surfaces are analyzed by the methods of molecular-kinetic theory. The mixture contains a noncondensable component whose average density remains constant in the region under study. The influence of the gas on the process of recondensation of the vapor and the interaction of the components of the mixture in the cases of equal and different molecular weights are studied. The problems posed are investigated using the method of direct numerical solution of the kinetic Boltzmann equation modified for the mixture of gases. Special emphasis is placed on compution of direct and cross collision integrals.Problems in solving which one must take into account the nonequilibrium of transfer processes are topical for many situations of practical importance.In a number of practical applications, one frequently has such regimes of flow in which the regularities of flows of a continuous medium, on the one hand, and those of a free-molecular medium, on the other, cease to hold.Under such conditions, intermolecular collisions turn out to be insufficient for the superposition of a large number of random interactions to completely counterbalance their probabilistic character and to make it possible to use the regularities of a continuous medium. At the same time, collisions between gas or vapor particles are rather frequent and they cannot be disregarded, as in the case of a free-molecular regime of flow. Therefore, it is expedient to describe rarefied-gas flows at the level of the velocity-distribution function of molecules.The problem of calculation of the parameters of gas or vapor flows is also complicated by the presence of at least two components of the gas which interact with each other and by the phase transitions on cooled surfaces.Correct investigation of such flows is possible by the methods of molecular-kinetic theory. The motion and interaction of gas or vapor molecules are described based on the kinetic equation. In the present work, we use, as such an equation, the traditional Boltzmann equation, which, for a two-component mixture, becomes the system of equations ∂f a ∂t + ξ a ∂f a ∂r = J aa + J ab , ∂f b ∂t + ξ b ∂f b ∂r = J bb + J ba .In this work, we use collision integrals written in the following form:

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confidence: 99%

“…To solve the problem on recondensation of the vapor in the presence of a noncondensable gas Aoki et al [3] adapted the Bird method of Monte Carlo direct statistical simulation presented, for example, in [4].…”

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confidence: 99%

Recondensation in the Presence of a Noncondensable Component

Kryukov

Levashov

Shishkova

2005

J Eng Phys Thermophys

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“…In the situation where the Knudsen number tends to 0, this problem has been already studied in [8,9] where two types of behavior were pointed out. In a first situation, the macroscopic velocity of the two gases is 0 [8,10]. It means physically that evaporation and condensation stop for the A component.…”

Section: Introduction and Setting Of The Problemmentioning

confidence: 97%

“…However, the Hilbert term of order 1 of the velocity of the A component keeps an influence at the hydrodynamical level. This is the ghost effect as defined for a one-component gas in [11] and for a two-component gas in [8,10,12]. In a second case, the B component becomes negligible and accumulates in a thin layer at the boundaries called the Knudsen layer [13].…”

Section: Introduction and Setting Of The Problemmentioning

confidence: 98%

The stationary Boltzmann equation for a two‐component gas for soft forces in the slab

Brull

2008

Math Methods in App Sciences

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SUMMARYThe stationary Boltzmann equation for soft forces in the context of a two-component gas is considered in the slab. An existence theorem is proved when one component satisfies a given indata profile and the other component satisfies diffuse reflection at the boundaries in a renormalized sense. Weak L 1 compactness is extracted from the control of the entropy production term. Trace at the boundaries is also controlled.

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“…Golse (2007). It is difficult to overemphasize the importance of considering mixtures evaporation/condensation when the vapor flows in a volume occupied by a different and non-condensible species as, for instance, in Aoki et al (1998) and Kosuge et al (2010) for monatomic species. Extension to a binary mixture of polyatomic gases has been studied in Shishkova et al (2013).…”

Section: Kinetic Theory Applications To Evaporation and Condensation mentioning

confidence: 99%

Kinetic theory aspects of non-equilibrium liquid-vapor flows

Frezzotti

Barbante

2017

Mechanical Engineering Reviews

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Kinetic theory of fluids plays an important role in understanding and modeling mass, momentum and energy transfer between the vapor and liquid phase in non-equilibrium two-phase flows, in which evaporation and/or condensation take place. The paper presents a review of the literature which focuses on kinetic modeling of the vapor-liquid interface. Starting from the studies of the Knudsen layer structure in evaporation and condensation, the problem of the formulation of kinetic boundary conditions is described and discussed. The formulation of models based on approximate kinetic descriptions of dense fluids is described and the model capabilities are assessed through the analysis of the results obtained by various authors.

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Vapor flows caused by evaporation and condensation on two parallel plane surfaces: Effect of the presence of a noncondensable gas

Cited by 57 publications

References 34 publications

Recondensation in the Presence of a Noncondensable Component

Recondensation in the Presence of a Noncondensable Component

The stationary Boltzmann equation for a two‐component gas for soft forces in the slab

Kinetic theory aspects of non-equilibrium liquid-vapor flows

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