Evolution of cluster size distribution during nucleation with rapidly changing dynamic gas processes

Gorbachev, Yu. E.; Никитин, И. С.

doi:10.1134/1.1333190

Cited by 5 publications

(12 citation statements)

References 8 publications

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“…Within the DSMC method at each time step, clusters of critical size are formed in the vol ume of the cell at the rate of (7) (reaction (2)). The clus ters grow and are evaporated with the rates (6), (13), and (14), respectively (reactions (3), (4)).…”

Section: Adaptation Of the Modelmentioning

confidence: 99%

“…The frequency of the evaporation (4) for SCCNT is determined from the principle of the detailed balance and has the form (13) where g 0,-1 is the number of the surface atoms in the cluster of the size (g -1).…”

Section: The Model Of the Formation Of Clusters On The Basis Of The Smentioning

confidence: 99%

“…The approaches to building models of cluster formation for the DSMC method can be divided into two groups: (1) based on the conclusions of the nucleation theory [3][4][5][6] and (2) directly using the kinetic description [7,8]. Due to the widely dis cussed restrictions of the classical nucleation theory (CNT), studies have been performed that make it pos sible to leave the framework of these restrictions [9][10][11][12][13][14][15][16]. In this work we continue the development of the con densation model [4,5] based on the expansion of CNT making it possible to describe small sized clusters [17], i.e., modes with high supersaturations.…”

Section: Introductionmentioning

confidence: 99%

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Direct statistical simulation of the processes of clusters formation in the gas phase: Classical approach with cluster size correction

Bykov

Gorbachev

2015

High Temp

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A DSMC method making it possible to describe the formation and increase of clusters on the basis of the nucleation theory taking into account the corrections to the classical theory for description of small size clusters has been developed. The problems of the applicability of the model for calculating the vapor at a high degree of supersaturation and the correctness of the allowance for the processes of energy exchange in the course of the condensation process are discussed. A series of calculations of the stationary size distribu tions of clusters in the homogeneous volume of the copper vapor has been performed. The results are com pared with the analytical data.

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Section: Adaptation Of the Modelmentioning

confidence: 99%

Section: The Model Of the Formation Of Clusters On The Basis Of The Smentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Direct statistical simulation of the processes of clusters formation in the gas phase: Classical approach with cluster size correction

Bykov

Gorbachev

2015

High Temp

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“…The second and third strategies modify the equations in accordance with eqs. (16)- (17). For brevity, these equations and not given here.…”

Section: Application Of Cnt To Free Gas Expansionsmentioning

confidence: 99%

“…The transient time needed for the system to arrive at the steady state can be roughly approximated by the inverse of the minimal non-zero λ. Note that the so-called lag time in CNT has a slightly different definition and there exist analytical expressions to calculate it [16], [17].…”

Section: Classical Nucleation Theorymentioning

confidence: 99%

Applicability of the Homogeneous Nucleation Theory to the Condensation in Free Gas Expansions

Zeifman

Zhong

Levin

2005

AIP Conference Proceedings

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Abstract. The traditional application of the classical homogeneous nucleation theory (CNT) to the condensation in rapidly expanding flows involves the use of the steady-state nucleation rate. Since this rate is derived under the assumption of both steady-state and isobaric/isothermal conditions, the applicability of CNT to highly nonequilibrium environments may be questionable. In addition, the usual strategy of CNT -gas dynamics coupling violates the original nucleation theory even in the isothermal/isobaric environment. In this study, we consider condensation in jets freely expanding into a vacuum. Using the isentropic solution, we approximate the time-dependent pressure and temperature in a given small volume of a gas that is moving along the jet axis with the flow velocity. Several possible strategies of CNT implementation are considered within this volume. It is shown that the terminal cluster distributions are strongly affected by the steady-state assumption and that the original CNT rate equations should be integrated into a computational scheme to model the coupled condensation flow.

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Phase Formation in Combustion and Pyrolysis

Рубцов

2015

The Modes of Gaseous Combustion

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Evolution of cluster size distribution during nucleation with rapidly changing dynamic gas processes

Cited by 5 publications

References 8 publications

Direct statistical simulation of the processes of clusters formation in the gas phase: Classical approach with cluster size correction

Direct statistical simulation of the processes of clusters formation in the gas phase: Classical approach with cluster size correction

Applicability of the Homogeneous Nucleation Theory to the Condensation in Free Gas Expansions

Phase Formation in Combustion and Pyrolysis

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