Microchannel Gas Flow in the Multi-Flow Regime Based on the Lattice Boltzmann Method
In this work, a lattice Boltzmann method (LBM) for studying microchannel gas flow is developed in the multi-flow regime. In the LBM, by comparing previous studies’ results on effective viscosity in multi-flow regimes, the values of the rarefaction factor applicable to multi-flow regions were determi...
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MDPI AG
2024-01-01
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| Online Access: | https://www.mdpi.com/1099-4300/26/1/84 |
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| author | Xiaoyu Li Zhi Ning Ming Lü |
| author_facet | Xiaoyu Li Zhi Ning Ming Lü |
| author_sort | Xiaoyu Li |
| collection | DOAJ |
| description | In this work, a lattice Boltzmann method (LBM) for studying microchannel gas flow is developed in the multi-flow regime. In the LBM, by comparing previous studies’ results on effective viscosity in multi-flow regimes, the values of the rarefaction factor applicable to multi-flow regions were determined, and the relationship between relaxation time and <i>Kn</i> number with the rarefaction factor is given. The <i>Kn</i> number is introduced into the second-order slip boundary condition together with the combined bounce-back/specular-reflection (CBBSR) scheme to capture the gas flow in the multi-flow regime. Sensitivity analysis of the dimensionless flow rate to adjustable parameters using the Taguchi method was carried out, and the values of adjustable parameters were determined based on the results of the sensitivity analysis. The results show that the dimensionless flow rate is more sensitive to <i>j</i> than <i>h</i>. Numerical simulations of Poiseuille flow and pulsating flow in a microchannel with second-order slip boundary conditions are carried out to validate the method. The results show that the velocity profile and dimensionless flow rate simulated by the present numerical simulation method in this work are found in the multi-flow regime, and the phenomenon of annular velocity profile in the microchannel is reflected in the phases. |
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| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-03-08T10:57:21Z |
| publishDate | 2024-01-01 |
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| spelling | doaj.art-8eef41a765294cd2bdea717cbb7f116c2024-01-26T16:23:17ZengMDPI AGEntropy1099-43002024-01-012618410.3390/e26010084Microchannel Gas Flow in the Multi-Flow Regime Based on the Lattice Boltzmann MethodXiaoyu Li0Zhi Ning1Ming Lü2School of Mechanical, Electronic and Control Engineering, Beijing Jiaotong University, Beijing 100044, ChinaSchool of Mechanical, Electronic and Control Engineering, Beijing Jiaotong University, Beijing 100044, ChinaSchool of Mechanical, Electronic and Control Engineering, Beijing Jiaotong University, Beijing 100044, ChinaIn this work, a lattice Boltzmann method (LBM) for studying microchannel gas flow is developed in the multi-flow regime. In the LBM, by comparing previous studies’ results on effective viscosity in multi-flow regimes, the values of the rarefaction factor applicable to multi-flow regions were determined, and the relationship between relaxation time and <i>Kn</i> number with the rarefaction factor is given. The <i>Kn</i> number is introduced into the second-order slip boundary condition together with the combined bounce-back/specular-reflection (CBBSR) scheme to capture the gas flow in the multi-flow regime. Sensitivity analysis of the dimensionless flow rate to adjustable parameters using the Taguchi method was carried out, and the values of adjustable parameters were determined based on the results of the sensitivity analysis. The results show that the dimensionless flow rate is more sensitive to <i>j</i> than <i>h</i>. Numerical simulations of Poiseuille flow and pulsating flow in a microchannel with second-order slip boundary conditions are carried out to validate the method. The results show that the velocity profile and dimensionless flow rate simulated by the present numerical simulation method in this work are found in the multi-flow regime, and the phenomenon of annular velocity profile in the microchannel is reflected in the phases.https://www.mdpi.com/1099-4300/26/1/84lattice Boltzmann methodslip boundary conditionsensitivity analysismulti-flow regime |
| spellingShingle | Xiaoyu Li Zhi Ning Ming Lü Microchannel Gas Flow in the Multi-Flow Regime Based on the Lattice Boltzmann Method Entropy lattice Boltzmann method slip boundary condition sensitivity analysis multi-flow regime |
| title | Microchannel Gas Flow in the Multi-Flow Regime Based on the Lattice Boltzmann Method |
| title_full | Microchannel Gas Flow in the Multi-Flow Regime Based on the Lattice Boltzmann Method |
| title_fullStr | Microchannel Gas Flow in the Multi-Flow Regime Based on the Lattice Boltzmann Method |
| title_full_unstemmed | Microchannel Gas Flow in the Multi-Flow Regime Based on the Lattice Boltzmann Method |
| title_short | Microchannel Gas Flow in the Multi-Flow Regime Based on the Lattice Boltzmann Method |
| title_sort | microchannel gas flow in the multi flow regime based on the lattice boltzmann method |
| topic | lattice Boltzmann method slip boundary condition sensitivity analysis multi-flow regime |
| url | https://www.mdpi.com/1099-4300/26/1/84 |
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