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Kinetic theory of binary particles with unequal mean velocities and non-equipartition energies
Chen, Yanpei; Mei, Yifeng; Wang, Wei
2017-03-01
Source PublicationPHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
ISSN0378-4371
Volume469Pages:293-304
Abstract

The hydrodynamic conservation equations and constitutive relations for a binary granular mixture composed of smooth, nearly elastic spheres with non-equipartition energies and different mean velocities are derived. This research is aimed to build three-dimensional kinetic theory to characterize the behaviors of two species of particles suffering different forces. The standard Enskog method is employed assuming a Maxwell velocity distribution for each species of particles. The collision components of the stress tensor and the other parameters are calculated from the zeroth- and first-order approximation. Our results demonstrate that three factors, namely the differences between two granular masses, temperatures and mean velocities all play important roles in the stress-strain relation of the binary mixture, indicating that the assumption of energy equipartition and the same mean velocity may not be acceptable. The collision frequency and the solid viscosity increase monotonously with each granular temperature. The zeroth-order approximation to the energy dissipation varies greatly with the mean velocities of both species of spheres, reaching its peak value at the maximum of their relative velocity. (C) 2016 Elsevier B.V. All rights reserved.

KeywordKinetic Theory Of Granular Flow Binary Granular Mixture Energy Non-equipartition
SubtypeArticle
WOS HeadingsScience & Technology ; Physical Sciences
DOI10.1016/j.physa.2016.11.104
Indexed BySCI
Language英语
WOS Keyword2 Granular Temperatures ; Elastic Spheres ; Fluidized-beds ; Mixtures ; Flow ; Model ; Hydrodynamics ; Simulation ; Size ; Smooth
WOS Research AreaPhysics
WOS SubjectPhysics, Multidisciplinary
Funding OrganizationMinistry of Science and Technology of the People's Republic of China(2012CB215003) ; National Natural Science Foundation of China(91334204 ; Chinese Academy of Sciences(XDA07080100) ; China Postdoctoral Science Foundation(2014M561071) ; 21176240 ; 21625605)
WOS IDWOS:000392793500029
Citation statistics
Cited Times:2[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.ipe.ac.cn/handle/122111/21906
Collection多相复杂系统国家重点实验室
AffiliationChinese Acad Sci, Inst Proc Engn, State Key Lab Multiphase Complex Syst, Beijing 100190, Peoples R China
Recommended Citation
GB/T 7714
Chen, Yanpei,Mei, Yifeng,Wang, Wei. Kinetic theory of binary particles with unequal mean velocities and non-equipartition energies[J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS,2017,469:293-304.
APA Chen, Yanpei,Mei, Yifeng,&Wang, Wei.(2017).Kinetic theory of binary particles with unequal mean velocities and non-equipartition energies.PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS,469,293-304.
MLA Chen, Yanpei,et al."Kinetic theory of binary particles with unequal mean velocities and non-equipartition energies".PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS 469(2017):293-304.
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