Sublimation and deposition in gaseous mixtures

Polikarpov, Alexey; Graur, Irina; Sharipov, Felix

doi:10.1016/j.ijheatmasstransfer.2020.120213

Cited by 4 publications

(1 citation statement)

References 49 publications

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“…The system of the two kinetic Equations ( 4) and (5) in conjunction with the moments (6) and the boundary conditions ( 7)-( 9) is solved by applying the Discrete Velocity Method (DVM). The deterministic DVM method is nowadays considered the widely accepted numerical technique by the research community for solving kinetic equations and describing heat, mass, and momentum transfer phenomena in the whole range of gas rarefaction (e.g., [52][53][54][55][56][57][58][59][60]). The literature survey is very extensive, and for this reason, only a brief description of the method is provided here, focusing on the numerical details concerning the present flow problem.…”

Section: Complete 4d Kinetic Solutionmentioning

confidence: 99%

Numerical Study of Rarefied Gas Flow in Diverging Channels of Finite Length at Various Pressure Ratios

Tantos,

Litovoli,

Teichmann

et al. 2024

Fluids

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In the present work, the gas flows through diverging channels driven by small, moderate, and large pressure drops are studied, considering a wide range of the gas rarefaction from free molecular limit through transition flow regime up to early slip regime. The analysis is performed using the Shakhov kinetic model, and applying the deterministic DVM method. The complete 4D flow problem is considered by including the upstream and downstream reservoirs. A strong effect of the channel geometry on the flow pattern is shown, with the distributions of the macroscopic quantities differing qualitatively and quantitatively from the straight channel flows. The mass flow rate data set from the complete solution is compared with the corresponding set obtained from the approximate kinetic methodology, which is based on the fully developed mass flow rate data available in the literature. In addition, the use of the end-effect approach significantly improves the applicability range of the approximate kinetic methodology. The influence of the wall temperature on the flow characteristics is also studied and is found to be strong in less-rarefied cases, with the mass flow rate in these cases being a decreasing function of the temperature wall. Overall, the present analysis is expected to be useful in the development and optimization of technological devices in vacuum and aerospace technologies.

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Section: Complete 4d Kinetic Solutionmentioning

confidence: 99%

Numerical Study of Rarefied Gas Flow in Diverging Channels of Finite Length at Various Pressure Ratios

Tantos,

Litovoli,

Teichmann

et al. 2024

Fluids

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show abstract

Ab initio modelling of transport phenomena in multi-component mixtures of rarefied gases

Sharipov

2024

International Journal of Heat and Mass Transfer

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Transport coefficients of multicomponent mixtures of noble gases based on ab initio potentials: Diffusion coefficients and thermal diffusion factors

Sharipov

Benites

2020

Physics of Fluids

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Diffusion coefficients and thermal diffusion factors of binary, ternary, and quaternary mixtures of helium, neon, argon, and krypton at low density are computed for wide ranges of temperatures and molar fractions, applying the Chapman–Enskog method. Two definitions of the diffusion coefficients are discussed, and a general relation between them is obtained. Ab initio interatomic potentials are employed in order to calculate the omega-integrals being part of the expression of the reported quantities. The relative numerical errors of the diffusion coefficients do not exceed the value of 5 × 10−5 being even smaller in some cases. The uncertainties of diffusion coefficients due to the interatomic potential vary between 4 × 10−4 and 6 × 10−3. The numerical error and uncertainty due to the potential of the thermal diffusion factors are estimated as 10−4 and 3 × 10−3, respectively. It is shown that the present results for binary mixtures are more accurate than any other available in the literature, while the results for ternary and quaternary mixtures are reported for the first time.

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Sublimation and deposition in gaseous mixtures

Cited by 4 publications

References 49 publications

Numerical Study of Rarefied Gas Flow in Diverging Channels of Finite Length at Various Pressure Ratios

Numerical Study of Rarefied Gas Flow in Diverging Channels of Finite Length at Various Pressure Ratios

Ab initio modelling of transport phenomena in multi-component mixtures of rarefied gases

Transport coefficients of multicomponent mixtures of noble gases based on ab initio potentials: Diffusion coefficients and thermal diffusion factors

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