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

	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; Chinese Acad Sci, Inst Mech, State Key Lab High Temp Gas Dynam, Beijing 100190, Peoples R China.
发表期刊	COMPUTERS & FLUIDS
	2012-08-30
卷号	67 页码:115-122
ISSN	0045-7930
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.
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
学科领域	非平衡流
URL	查看原文
收录类别	SCI ; EI
语种	英语
WOS记录号	WOS:000309297700010
项目资助者	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).
论文分区	二类/Q2
引用统计	被引频次：40[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://dspace.imech.ac.cn/handle/311007/46611
专题	高温气体动力学国家重点实验室
通讯作者	Liu, HW; Chinese Acad Sci, Inst Mech, State Key Lab High Temp Gas Dynam, Beijing 100190, Peoples R China.
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,&Chinese Acad Sci, Inst Mech, State Key Lab High Temp Gas Dynam, Beijing 100190, Peoples R China..(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.

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