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An entropy criterion for the validity of Navier-Stokes order continuum theory for gas-solid flow: Kinetic theory analysis
Zhao, Bidan1,2; Wang, Jing1,2; Wang, Junwu1
2017-11-23
发表期刊CHEMICAL ENGINEERING SCIENCE
ISSN0009-2509
卷号172期号:NOV页码:297-309
摘要

Navier-Stokes order continuum theory (NS theory) established on the basis of local thermodynamic equilibrium (LTE) postulate has been widely used to study gas-solid flows. Qualitatively, the postulate is valid for systems sufficiently close to equilibrium, however, continuum theory provides no information on how small these deviations from equilibrium should be in order to guarantee the validity of LTE. To this end, kinetic theory analysis was carried out to formulate an entropy criterion, it was shown that (i) the entropy density up to the NS order is exactly the same as the one at the LTE condition, meaning that the LTE postulate is only valid for linear non-equilibrium regime, although NS theory and the LTE postulate are logically self-consistent; (ii) an entropy criterion characterizing the relative importance of nonlinear effects is derived, which should be small in order to make sure that the LTE postulate is valid and also sets the boundary of validity of NS theory; and (iii) the proposed entropy criterion, I-s << 1, is not only a function of granular temperature gradient and velocity gradient, but also a function of 1 - e(2) characterizing the inelasticity of particle-particle collisions. It is more complex and systematic than the traditional criterion based on the Knudsen number, Kn << 1. (C) 2017 Elsevier Ltd. All rights reserved.

关键词Entropy Continuum Mechanics Gas-solid Flow Fluidization Kinetic Theory
文章类型Article
WOS标题词Science & Technology ; Technology
DOI10.1016/j.ces.2017.06.039
收录类别SCI
语种英语
关键词[WOS]RAPID GRANULAR FLOWS ; FLUIDIZED-BEDS ; 2-FLUID MODEL ; HYDRODYNAMIC EQUATIONS ; NUMERICAL-SIMULATION ; EULERIAN SIMULATION ; MOLECULAR CHAOS ; DRAG FORCE ; PARTICLES ; VELOCITY
WOS研究方向Engineering
WOS类目Engineering, Chemical
项目资助者National Natural Science Foundation of China(21422608) ; Chinese Academy of Sciences(XDA07080200)
WOS记录号WOS:000410833900025
引用统计
文献类型期刊论文
条目标识符http://ir.ipe.ac.cn/handle/122111/23230
专题多相复杂系统国家重点实验室
作者单位1.Chinese Acad Sci, Inst Proc Engn, State Key Lab Multiphase Complex Syst, POB 353, Beijing 100190, Peoples R China
2.Univ Chinese Acad Sci, Beijing 100049, Peoples R China
推荐引用方式
GB/T 7714
Zhao, Bidan,Wang, Jing,Wang, Junwu. An entropy criterion for the validity of Navier-Stokes order continuum theory for gas-solid flow: Kinetic theory analysis[J]. CHEMICAL ENGINEERING SCIENCE,2017,172(NOV):297-309.
APA Zhao, Bidan,Wang, Jing,&Wang, Junwu.(2017).An entropy criterion for the validity of Navier-Stokes order continuum theory for gas-solid flow: Kinetic theory analysis.CHEMICAL ENGINEERING SCIENCE,172(NOV),297-309.
MLA Zhao, Bidan,et al."An entropy criterion for the validity of Navier-Stokes order continuum theory for gas-solid flow: Kinetic theory analysis".CHEMICAL ENGINEERING SCIENCE 172.NOV(2017):297-309.
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