| Kinetic modeling of nonequilibrium flow of hard sphere dense gases | |
Su, Wei1; Gibelli, Livio; Li, Jun3 ; Borg, MatthewK.; Zhang YH(张勇豪)
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| Source Publication | PHYSICAL REVIEW FLUIDS
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| 2023-01-31 | |
| Volume | 8Issue:1Pages:13401 |
| ISSN | 2469-990X |
| Abstract | A kinetic model is proposed for the nonequilibrium flow of dense gases composed of hard sphere molecules, which significantly simplifies the collision integral of the Enskog equation using the relaxation time approach. The model preserves the most important physical properties of high density gas systems, including the Maxwellian at rest as the equilibrium solution and the equation of state for hard sphere fluids; all the correct transport coefficients, namely, the shear viscosity, thermal conductivity, and bulk viscosity; and inhomogeneous density distribution in the presence of a solid boundary. The collision operator of the model contains a Shakhov model like relaxation part and an excess part in low order spatial derivatives of the macroscopic flow properties; this latter contribution is used to account for the effect arising from the finite size of gas molecules. The density inhomogeneity in the vicinity of a solid boundary in a confined flow is captured by a method based on the density functional theory. Extensive benchmark tests are performed, including the normal shock structure and the Couette, Fourier, and Poiseuille flow at different reduced densities and Knudsen numbers, where the results are compared with the solutions from the Enskog equation and molecular dynamics simulations. It is shown that the proposed kinetic model provides a fairly accurate description of all these nonequilibrium dense gas flows. Finally, we apply our model to simulate forced wave propagation in a dense gas confined between two plates. The inhomogeneous density near the solid wall is found to enhance the oscillation amplitude, while the presence of bulk viscosity causes stronger attenuation of the sound wave. This shows the importance of a kinetic model to reproduce density inhomogeneity and correct transport coefficients, including bulk viscosity. |
| DOI | 10.1103/PhysRevFluids.8.013401 |
| Indexed By | SCI ; EI |
| Language | 英语 |
| WOS ID | WOS:000928257600005 |
| WOS Research Area | Physics, Fluids & Plasmas |
| WOS Subject | Physics |
| Funding Organization | King Fahd University of Petroleum and Minerals ; United Kingdom Engineering and Physical Sciences Research Council [EP/R041938/2] |
| Classification | 二类 |
| Ranking | 1 |
| Contributor | Zhang, YH (corresponding author), Chinese Acad Sci, Inst Mech, State Key Lab High Temp Gas Dynam, Beijing 100190, Peoples R China. |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/91882 |
| Collection | 高温气体动力学国家重点实验室 |
| Affiliation | 1.Hong Kong Univ Sci & Technol, Div Emerging Interdisciplinary Areas, Hong Kong, Peoples R China 2.Hong Kong Univ Sci & Technol, Dept Math, Hong Kong, Peoples R China 3.Gibelli, Livio; Borg, Matthew K.] Univ Edinburgh, Sch Engn, Edinburgh EH9 3FB, Scotland 4.King Fahd Univ Petr & Minerals, Coll Petr Engn & Geosci, Ctr Integrat Petr Res, Dhahran 31261, Saudi Arabia 5.Chinese Acad Sci, Inst Mech, State Key Lab High Temp Gas Dynam, Beijing 100190, Peoples R China |
| Recommended Citation GB/T 7714 | Su, Wei,Gibelli, Livio,Li, Jun,et al. Kinetic modeling of nonequilibrium flow of hard sphere dense gases[J]. PHYSICAL REVIEW FLUIDS,2023,8,1,:13401.Rp_Au:Zhang, YH (corresponding author), Chinese Acad Sci, Inst Mech, State Key Lab High Temp Gas Dynam, Beijing 100190, Peoples R China. |
| APA | Su, Wei,Gibelli, Livio,Li, Jun,Borg, MatthewK.,&张勇豪.(2023).Kinetic modeling of nonequilibrium flow of hard sphere dense gases.PHYSICAL REVIEW FLUIDS,8(1),13401. |
| MLA | Su, Wei,et al."Kinetic modeling of nonequilibrium flow of hard sphere dense gases".PHYSICAL REVIEW FLUIDS 8.1(2023):13401. |
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| Jp2023A079.pdf（629KB） | 期刊论文 | 出版稿 | 开放获取 | CC BY-NC-SA | View Download | |
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