Multiple temperature kinetic model and its applications to micro-scale gas flows

CORC > 力学研究所 > 中国科学院力学研究所 > 高温气体动力学国家重点实验室

	Multiple temperature kinetic model and its applications to micro-scale gas flows
	Liu HW(刘洪伟); Xu K; Zhu TS; Ye WJ; Liu, HW; Liu, HW
刊名	COMPUTERS & FLUIDS
	2012-08-30
通讯作者邮箱	hliu@imech.ac.cn
卷号	67 页码:115-122
关键词	Non-equilibrium flows Kinetic models Rarefied gas dynamics Gas-kinetic schemes Burnett Equations Boltzmann-Equation Transition Regime Driven Cavity Navier-Stokes Scheme Continuum Simulation Number
ISSN号	0045-7930
通讯作者	Liu, HW ; Chinese Acad Sci, Inst Mech, State Key Lab High Temp Gas Dynam, Beijing 100190, Peoples R China.
产权排序	[Liu, Hongwei] Chinese Acad Sci, Inst Mech, State Key Lab High Temp Gas Dynam, Beijing 100190, Peoples R China;[Xu, Kun] Hong Kong Univ Sci & Technol, Dept Math, Kowloon, Hong Kong, Peoples R China; [Zhu, Taishan; Ye, Wenjing] Hong Kong Univ Sci & Technol, Dept Mech Engn, Kowloon, Hong Kong, Peoples R China
合作状况	国内
中文摘要	This paper presents a gas-kinetic scheme to solve the multiple temperature kinetic model (MTKM), which was proposed in J. Comput. Math. 29(6) (2011) 639-660, for the study of non-equilibrium flows. The MTKM is a two-stage particle collision model possessing an intermediate quasi-equilibrium state with a symmetric second-order temperature tensor. A gas-kinetic finite volume scheme is developed for the numerical solution of the MTKM in the continuum and transition flow regimes. The gas-kinetic scheme is designed for the updating of macroscopic variables, which include the conservative flow variables and the multiple temperature field. In order to validate the kinetic model, the gas-kinetic scheme is used in the study of lid-driven cavity flows in both continuum and transition flow regimes. The numerical results predicted by the MTKM are compared with those from the direct simulation Monte Carlo (DSMC) method, the Navier-Stokes equations (NSE), and the early three-temperature kinetic model (TFKM) proposed in Phys. Fluids 19, 016101(2007). It is demonstrated that the MTKM has obvious advantages in comparison with the NSE and the TTKM in capturing the non-equilibrium flow behavior in the transition flow regime. One distinguishable phenomenon captured by the MTKM is that in the transition flow regime the heat flux direction can be from a low temperature to a high temperature region, which violates the Fourier's law of continuum flows. The MTKM provides a more accurate physical model than the NSE for the non-equilibrium flows.
学科主题	非平衡流
分类号	二类/Q2
收录类别	SCI ; EI
资助信息	H. Liu would like to thank Mr. Songze Chen for providing the Mathematica program for the evaluation of the moments of Gaussian distribution and many helpful discussions. The authors also appreciate the unknown referees for their constructive comments and suggestions which greatly improve the manuscript. The current research was supported by Hong Kong Research Grant Council 621709, RPC10SC11, and National Natural Science Foundation of China (Project No. 10928205).
原文出处	http://dx.doi.org/10.1016/j.compfluid.2012.07.006
语种	英语
WOS记录号	WOS:000309297700010
公开日期	2013-01-18
内容类型	期刊论文
源URL	[http://dspace.imech.ac.cn/handle/311007/46611]
专题	力学研究所_高温气体动力学国家重点实验室
通讯作者	Liu, HW; Liu, HW
推荐引用方式 GB/T 7714	Liu HW,Xu K,Zhu TS,et al. Multiple temperature kinetic model and its applications to micro-scale gas flows[J]. COMPUTERS & FLUIDS,2012,67:115-122.
APA	刘洪伟,Xu K,Zhu TS,Ye WJ,Liu, HW,&Liu, HW.(2012).Multiple temperature kinetic model and its applications to micro-scale gas flows.COMPUTERS & FLUIDS,67,115-122.
MLA	刘洪伟,et al."Multiple temperature kinetic model and its applications to micro-scale gas flows".COMPUTERS & FLUIDS 67(2012):115-122.