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Volume 32, Issue 4
Lattice Boltzmann Modeling of Miscible Multicomponent Gas Mixtures in the Rarefied Regime

Michel Ho, Sami Ammar, Sébastien Leclaire, Marcelo Reggio & Jean-Yves Trépanier

Commun. Comput. Phys., 32 (2022), pp. 1179-1216.

Published online: 2022-10

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  • Abstract

An extension to rarefied flow regimes of the lattice Boltzmann method-based model for miscible mixtures developed by Vienne et al. (Physical Review E 100.2 (2019): 023309) is presented. The model is applied to study the gas phase separation phenomenon in mixture flows that traditional macroscopic approaches fail to predict. The extension includes a wall function approach with an empirical coefficient to define an effective mean free path in solid geometries, which locally defines the kinematic viscosity and binary diffusion coefficients. The algorithm is also modified by a local multi-relaxation time collision operator and slip boundary conditions at solid walls. Gaseous mixture flow simulations are conducted through a 2D plane microchannel within the slip and early transition flow regimes. Despite a miscible gaseous phase, the mixture loses its homogeneity and independent velocity profiles for each component are observed in the rarefied regime and captured with the current modeling. In addition, the gas separation phenomenon increases with the rarefaction rate and the molecular mass ratio. The individual treatment of the species within mixture flows in the developed lattice Boltzmann model helps understanding the increasing independent behavior of the individual species within the mixture as the regime becomes more rarefied.

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76P05

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@Article{CiCP-32-1179, author = {Ho , MichelAmmar , SamiLeclaire , SébastienReggio , Marcelo and Trépanier , Jean-Yves}, title = {Lattice Boltzmann Modeling of Miscible Multicomponent Gas Mixtures in the Rarefied Regime}, journal = {Communications in Computational Physics}, year = {2022}, volume = {32}, number = {4}, pages = {1179--1216}, abstract = {

An extension to rarefied flow regimes of the lattice Boltzmann method-based model for miscible mixtures developed by Vienne et al. (Physical Review E 100.2 (2019): 023309) is presented. The model is applied to study the gas phase separation phenomenon in mixture flows that traditional macroscopic approaches fail to predict. The extension includes a wall function approach with an empirical coefficient to define an effective mean free path in solid geometries, which locally defines the kinematic viscosity and binary diffusion coefficients. The algorithm is also modified by a local multi-relaxation time collision operator and slip boundary conditions at solid walls. Gaseous mixture flow simulations are conducted through a 2D plane microchannel within the slip and early transition flow regimes. Despite a miscible gaseous phase, the mixture loses its homogeneity and independent velocity profiles for each component are observed in the rarefied regime and captured with the current modeling. In addition, the gas separation phenomenon increases with the rarefaction rate and the molecular mass ratio. The individual treatment of the species within mixture flows in the developed lattice Boltzmann model helps understanding the increasing independent behavior of the individual species within the mixture as the regime becomes more rarefied.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.OA-2022-0166}, url = {http://global-sci.org/intro/article_detail/cicp/21143.html} }
TY - JOUR T1 - Lattice Boltzmann Modeling of Miscible Multicomponent Gas Mixtures in the Rarefied Regime AU - Ho , Michel AU - Ammar , Sami AU - Leclaire , Sébastien AU - Reggio , Marcelo AU - Trépanier , Jean-Yves JO - Communications in Computational Physics VL - 4 SP - 1179 EP - 1216 PY - 2022 DA - 2022/10 SN - 32 DO - http://doi.org/10.4208/cicp.OA-2022-0166 UR - https://global-sci.org/intro/article_detail/cicp/21143.html KW - Lattice Boltzmann, gaseous mixtures, rarefied regimes. AB -

An extension to rarefied flow regimes of the lattice Boltzmann method-based model for miscible mixtures developed by Vienne et al. (Physical Review E 100.2 (2019): 023309) is presented. The model is applied to study the gas phase separation phenomenon in mixture flows that traditional macroscopic approaches fail to predict. The extension includes a wall function approach with an empirical coefficient to define an effective mean free path in solid geometries, which locally defines the kinematic viscosity and binary diffusion coefficients. The algorithm is also modified by a local multi-relaxation time collision operator and slip boundary conditions at solid walls. Gaseous mixture flow simulations are conducted through a 2D plane microchannel within the slip and early transition flow regimes. Despite a miscible gaseous phase, the mixture loses its homogeneity and independent velocity profiles for each component are observed in the rarefied regime and captured with the current modeling. In addition, the gas separation phenomenon increases with the rarefaction rate and the molecular mass ratio. The individual treatment of the species within mixture flows in the developed lattice Boltzmann model helps understanding the increasing independent behavior of the individual species within the mixture as the regime becomes more rarefied.

Michel Ho, Sami Ammar, Sébastien Leclaire, Marcelo Reggio & Jean-Yves Trépanier. (2022). Lattice Boltzmann Modeling of Miscible Multicomponent Gas Mixtures in the Rarefied Regime. Communications in Computational Physics. 32 (4). 1179-1216. doi:10.4208/cicp.OA-2022-0166
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