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Multiscale kinetic theory for heterogeneous granular and gas-solid flows
Zhao, Bidan1,2; He, Mingming1,2; Wang, Junwu1,2,3
2021-03-15
Source PublicationCHEMICAL ENGINEERING SCIENCE
ISSN0009-2509
Volume232Pages:16
AbstractIt has been recognized that the particle phase stress model derived from classical kinetic theory is valid only when sufficient scale resolution is offered to explicitly resolve the heterogeneous structures during numerical simulations, however, industrial applications prefer to use coarse computational grids where the heterogeneous structures are not explicitly resolved but implicitly modeled. Unfortunately, in this case a kinetic theory for heterogeneous granular and gas-solid flows is not available yet. To this end, an attempt was made to tracking this challenge: The single particle velocity distribution function at the nonequilibrium stationary state with heterogeneous structures was firstly derived by combining the idea of doubly stochastic Poisson processes or superstatistics with the concept of compromise in competition in the EMMS (Energy Minimization Multi-Scale) theory, the standard Chapman-Enskog method was then used to develop the constitutive relations of heterogeneous continuum theory. It was found that (i) seven state variables are needed to quantify the heterogeneous structures as compared to three for homogeneous systems; (ii) the constitutive relations not only include the contribution from microscale particle-particle interactions but also those due to the interactions between mesoscale structures; and (iii) the resultant constitutive relations are much more complex than those of homogeneous systems due to the simultaneous consideration of microscale and mesoscale contributions and the appearance of cross-coupling effects, but they correctly contain the constitutive relations of homogeneous systems as a limiting case. Finally, the theory was coupled with an EMMS drag model to offer a preliminary validation and to provide a unified EMMS-based constitutive relations for heterogeneous gas-solid flows. (C) 2020 Elsevier Ltd. All rights reserved.
KeywordKinetic theory Mesoscale structure Multiscale structure Stress model Gas-solid flow Particle clusters
DOI10.1016/j.ces.2020.116346
Language英语
WOS KeywordPARTICLE-VELOCITY DISTRIBUTION ; COARSE GRID SIMULATION ; EMMS DRAG MODEL ; NUMERICAL-SIMULATION ; INELASTIC SPHERES ; FLUIDIZED-BEDS ; 2-FLUID MODEL ; CLUSTERING INSTABILITY ; EULERIAN SIMULATION ; CONSTITUTIVE MODELS
Funding ProjectNational Natural Science Foundation of China[21908223] ; National Natural Science Foundation of China[11988102] ; National Natural Science Foundation of China[91834303] ; Innovation Academy for Green Manufacture, Chinese Academy of Sciences[IAGM-2019-A13] ; Key Research Program of Frontier Sciences, Chinese Academy of Sciences[QYZDJ-SSW-JSC029] ; "Transformational Technologies for Clean Energy and Demonstration", Strategic Priority Research Program of the Chinese Academy of Sciences[XDA21030700]
WOS Research AreaEngineering
WOS SubjectEngineering, Chemical
Funding OrganizationNational Natural Science Foundation of China ; Innovation Academy for Green Manufacture, Chinese Academy of Sciences ; Key Research Program of Frontier Sciences, Chinese Academy of Sciences ; "Transformational Technologies for Clean Energy and Demonstration", Strategic Priority Research Program of the Chinese Academy of Sciences
WOS IDWOS:000608126700016
PublisherPERGAMON-ELSEVIER SCIENCE LTD
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Document Type期刊论文
Identifierhttp://ir.ipe.ac.cn/handle/122111/43303
Collection中国科学院过程工程研究所
Corresponding AuthorWang, Junwu
Affiliation1.Chinese Acad Sci, Inst Proc Engn, State Key Lab Multiphase Complex Syst, POB 353, Beijing 100190, Peoples R China
2.Univ Chinese Acad Sci, Sch Chem Engn, Beijing 100049, Peoples R China
3.Chinese Acad Sci, Innovat Acad Green Manufacture, Beijing 100190, Peoples R China
Recommended Citation
GB/T 7714
Zhao, Bidan,He, Mingming,Wang, Junwu. Multiscale kinetic theory for heterogeneous granular and gas-solid flows[J]. CHEMICAL ENGINEERING SCIENCE,2021,232:16.
APA Zhao, Bidan,He, Mingming,&Wang, Junwu.(2021).Multiscale kinetic theory for heterogeneous granular and gas-solid flows.CHEMICAL ENGINEERING SCIENCE,232,16.
MLA Zhao, Bidan,et al."Multiscale kinetic theory for heterogeneous granular and gas-solid flows".CHEMICAL ENGINEERING SCIENCE 232(2021):16.
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