| Molecular kinetic modelling of non-equilibrium transport of confined van der Waals fluids | |
| Shan, Baochao; Su, Wei; Gibelli, Livio; Zhang YH(张勇豪) | |
| Corresponding Author | Zhang, Yonghao([email protected]) |
| Source Publication | JOURNAL OF FLUID MECHANICS
 |
| 2023-11-24 | |
| Volume | 976Pages:36 |
| ISSN | 0022-1120 |
| Abstract | A thermodynamically consistent kinetic model is proposed for the non-equilibrium transport of confined van der Waals fluids, where the long-range molecular attraction is considered by a mean-field term in the transport equation, and the transport coefficients are tuned to match the experimental data. The equation of state of the van der Waals fluids can be obtained from an appropriate choice of the pair correlation function. By contrast, the modified Enskog theory predicts non-physical negative transport coefficients near the critical temperature and may not be able to recover the Boltzmann equation in the dilute limit. In addition, the shear viscosity and thermal conductivity are predicted more accurately by taking gas molecular attraction into account, while the softened Enskog formula for hard-sphere molecules performs better in predicting the bulk viscosity. The present kinetic model agrees with the Boltzmann model in the dilute limit and with the Navier-Stokes equations in the continuum limit, indicating its capability in modelling dilute-to-dense and continuum-to-non-equilibrium flows. The new model is examined thoroughly and validated by comparing it with the molecular dynamics simulation results. In contrast to the previous studies, our simulation results reveal the importance of molecular attraction even for high temperatures, which holds the molecules to the bulk while the hard-sphere model significantly overestimates the density near the wall. Because the long-range molecular attraction is considered appropriately in the present model, the velocity slip and temperature jump at the surface for the more realistic van der Waals fluids can be predicted accurately. |
| Keyword | microscale transport kinetic theory |
| DOI | 10.1017/jfm.2023.893 |
| Indexed By | SCI ; EI |
| Language | 英语 |
| WOS ID | WOS:001108909400001 |
| WOS Keyword | LATTICE BOLTZMANN MODELS ; HIGH KNUDSEN NUMBER ; EQUATION-OF-STATE ; BULK VISCOSITY ; MULTIPARAMETER CORRELATION ; ENSKOG EQUATION ; DENSE FLUIDS ; GAS ; DYNAMICS ; ARGON |
| WOS Research Area | Mechanics ; Physics |
| WOS Subject | Mechanics ; Physics, Fluids & Plasmas |
| Funding Project | Engineering and Physical Sciences Research Council[EP/R029598/1] ; UK Consortium on Mesoscale Engineering Sciences (UKCOMES) under the UK Engineering and Physical Sciences Research Council ; Computational Science Centre for Research Communities, through UKCOMES |
| Funding Organization | Engineering and Physical Sciences Research Council ; UK Consortium on Mesoscale Engineering Sciences (UKCOMES) under the UK Engineering and Physical Sciences Research Council ; Computational Science Centre for Research Communities, through UKCOMES |
| Classification | 一类/力学重要期刊 |
| Ranking | 1 |
| Contributor | Zhang, Yonghao |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/93543 |
| Collection | 高温气体动力学国家重点实验室 |
| Recommended Citation GB/T 7714 | Shan, Baochao,Su, Wei,Gibelli, Livio,et al. Molecular kinetic modelling of non-equilibrium transport of confined van der Waals fluids[J]. JOURNAL OF FLUID MECHANICS,2023,976:36.Rp_Au:Zhang, Yonghao |
| APA | Shan, Baochao,Su, Wei,Gibelli, Livio,&张勇豪.(2023).Molecular kinetic modelling of non-equilibrium transport of confined van der Waals fluids.JOURNAL OF FLUID MECHANICS,976,36. |
| MLA | Shan, Baochao,et al."Molecular kinetic modelling of non-equilibrium transport of confined van der Waals fluids".JOURNAL OF FLUID MECHANICS 976(2023):36. |
| Files in This Item: | ||||||
| File Name/Size | DocType | Version | Access | License | ||
| Jp2023A071.pdf（1113KB） | 期刊论文 | 出版稿 | 开放获取 | CC BY-NC-SA | View Download | |
Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.
Edit Comment