Cluster formation in copper vapor jet expanding into vacuum: the direct simulation Monte Carlo

Bykov, N. Y.; Gorbachev, Yu. E.

doi:10.1016/j.vacuum.2019.02.007

Cited by 23 publications

(8 citation statements)

References 31 publications

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“…In order to make the plasma density zero in the objects and continuous in the simulation domain, the diffusion coefficient D a inside shell 1 and shell 2 is mathematically set to be infinity, while in the other areas of the simulation domain, it is calculated according to Equations , and . In addition, σ i is set to be 2.46×10 −19 m 2 , and σ e is set to be 1.25×10 −19 m 2 . Then according to T 0 =0.03 eV and η=99 % , the normalized atom density is set to be 0.125.…”

Section: Numerical Experimentsmentioning

confidence: 99%

Three‐dimensional immersed finite‐element method for anisotropic magnetostatic/electrostatic interface problems with nonhomogeneous flux jump

Yang

Bai

et al. 2020

Numerical Meth Engineering

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Summary Anisotropic diffusion is important to many different types of common materials and media. Based on structured Cartesian meshes, we develop a three‐dimensional (3D) nonhomogeneous immersed finite‐element (IFE) method for the interface problem of anisotropic diffusion, which is characterized by an anisotropic elliptic equation with discontinuous tensor coefficient and nonhomogeneous flux jump. We first construct the 3D linear IFE space for the anisotropic nonhomogeneous jump conditions. Then we present the IFE Galerkin method for the anisotropic elliptic equation. Since this method can efficiently solve interface problems on structured Cartesian meshes, it provides a promising tool to solve the physical models with complex geometries of different materials, hence can serve as an efficient field solver in a simulation on Cartesian meshes for related problems, such as the particle‐in‐cell simulation. Numerical examples are provided to demonstrate the features of the proposed method.

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Section: Numerical Experimentsmentioning

confidence: 99%

Three‐dimensional immersed finite‐element method for anisotropic magnetostatic/electrostatic interface problems with nonhomogeneous flux jump

Yang

Bai

et al. 2020

Numerical Meth Engineering

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“…In nature, there are two types of vapor condensation. The first type is homogeneous condensation, in which the initial condensation centers (nuclei) arise spontaneously from the vapors of the substance itself [1][2][3][4][5][6][7][8][9]; the second type is heterogeneous condensation, when particles of another (usually solid) phase are the centers of condensation [10][11][12][13][14][15][16]. Condensation of a binary gas mixture, in which vapors of one substance can condense on the nuclei of another substance [17], is a special case of heterogeneous condensation.…”

Section: Introductionmentioning

confidence: 99%

Application of the Moment Method for Numerical Simulation of Homogeneous-Heterogeneous Condensation

Иванов

Nazarov

Kryukov

2022

Fluids

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The paper considers the numerical modeling of the processes of homogeneous and heterogeneous condensation and evaporation in multiphase flows using the method of moments. Nonstationary processes of gas dynamics and phase transitions in the two-dimensional plane and axisymmetric regions are described by a general system of equations. The system of equations is expanded by adding two equations. One describes the evolution of the total mass fraction of the condensing substance; the other describes the evolution of the mass fraction of solid particles. An instant wetting model is used to model heterogeneous nucleation. The Gyarmathy model is used for the approximation of the average droplet growth rate. Heterogeneous condensation is modeled based on the distribution function of foreign impurities. An approach to calculating evaporation in the heterogeneous case is proposed. A comparison of the proposed models with a numerical experiment is given. Numerical simulation of homogeneous-heterogeneous condensation in a gas-dynamic ejector is carried out.

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“…This limits the applicability of CFD simulation methods to a few nozzle-exit diameters downstream of the flow up to which the flow is in continuum region [8]. Direct Simulation Monte Carlo (DSMC) method has been extensively used for simulating the expansion dynamics of rarefied gas flows involving low velocity gas flows [22], vapor expansions in vacuum [23] and study of cluster formation [24].…”

Section: Introductionmentioning

confidence: 99%

Flow characterization of supersonic gas jets: Experiments and Simulations

Patel,

Thomas,

Joshi

2021

Preprint

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In present work, we report an experimental setup that has been developed to characterize highly under-expanded helium and nitrogen jets confined in a vacuum chamber. The evolution of Zone of Silence (ZOS) is studied and found that experimentally measured ZOS for helium and nitrogen jets are in agreement with empirical relation and mathematical model. The velocity of the jet inside ZOS is measured using a developed time of fight (TOF) probe without using a skimmer. We are able to measures the velocity of the gas jet itself compared to a skimmer based method which measures the velocity of gas that is subjected to further expansion after the skimmer. Moreover, this method is free from skimmer interference and calibration involved with it. We observe that the measured velocity for helium is smaller than the terminal velocity. This can be attributed to losses which can occur due to nozzle geometry. Simulations are carried out using available DS2V code. Experimentally observed velocities of jets inside ZOS are compared with simulated values and are found to be in agreement within experimental uncertainties.

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Cluster formation in copper vapor jet expanding into vacuum: the direct simulation Monte Carlo

Cited by 23 publications

References 31 publications

Three‐dimensional immersed finite‐element method for anisotropic magnetostatic/electrostatic interface problems with nonhomogeneous flux jump

Three‐dimensional immersed finite‐element method for anisotropic magnetostatic/electrostatic interface problems with nonhomogeneous flux jump

Application of the Moment Method for Numerical Simulation of Homogeneous-Heterogeneous Condensation

Flow characterization of supersonic gas jets: Experiments and Simulations

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