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Application of the energy-minimization multi-scale method to gas-liquid-solid fluidized beds
Alternative TitleChem. Eng. Sci.
Liu, MY; Li, JH; Kwauk, MS
2001-12-01
Source PublicationCHEMICAL ENGINEERING SCIENCE
ISSN0009-2509
Volume56Issue:24Pages:6805-6812
AbstractA model for gas-liquid-solid three-phase fluidized beds with concurrent gas-liquid up-flow is proposed, which is formulated on the basis of the energy-minimization multi-scale (EMMS) method for gas-solid two-phase flow. The three-phase fluidization system is resolved into the suspending and transporting subsystem and the energy dissipation subsystem, and the former is further divided into three sub-subsystems: liquid-solid phase, gas phase and inter-phase. Force balance is analyzed at three different scales: micro-scale of particles, meso-scale of bubbles and macro-scale of the whole system. In addition to the analysis of multi-scale interactions, the energy consumption in the system is analyzed to establish the. stability condition for the system, which is considered indispensable due to the multiplicity of three-phase fluidized beds. The total energy of the system consumed with respect to unit mass of particles is resolved into two portions: suspending and transporting energy and dissipated energy. The stability condition is reached when the suspending and transporting energy of the system, N-st, is at its minimum. The model first formulated as a nonlinear programming problem consisting of six variables and seven constraints, is solved by using the general reduced gradient (GRG) algorithm. The calculated results show that the stability condition, N-st = min, can be stated alternately as d(b) = d(b max). Thus, the model is finally simplified to a set of nonlinear algebraic equations. The model has been used to calculate the hydrodynamic parameters in gas-liquid-solid fluidized beds with a wide range of physical properties of the liquid and the solid phases. The model predictions show good agreement with experimental data available in the literature. (C) 2001 Elsevier Science Ltd. All rights reserved.; A model for gas-liquid-solid three-phase fluidized beds with concurrent gas-liquid up-flow is proposed, which is formulated on the basis of the energy-minimization multi-scale (EMMS) method for gas-solid two-phase flow.
KeywordGas-liquid-solid Fluidized Bed Energy-minimization Multi-scale Fluidization Multiphase Flow Mathematical Modeling
SubtypeArticle
WOS HeadingsScience & Technology ; Technology
URL查看原文
Indexed BySCI
Language英语
WOS KeywordFLOW ; HYDRODYNAMICS ; SYSTEMS
WOS Research AreaEngineering
WOS SubjectEngineering, Chemical
WOS IDWOS:000172815800002
Citation statistics
Cited Times:31[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Version出版稿
Identifierhttp://ir.ipe.ac.cn/handle/122111/5730
Collection研究所(批量导入)
AffiliationAcad Sinica, Inst Chem Met, Beijing 100080, Peoples R China
Recommended Citation
GB/T 7714
Liu, MY,Li, JH,Kwauk, MS. Application of the energy-minimization multi-scale method to gas-liquid-solid fluidized beds[J]. CHEMICAL ENGINEERING SCIENCE,2001,56(24):6805-6812.
APA Liu, MY,Li, JH,&Kwauk, MS.(2001).Application of the energy-minimization multi-scale method to gas-liquid-solid fluidized beds.CHEMICAL ENGINEERING SCIENCE,56(24),6805-6812.
MLA Liu, MY,et al."Application of the energy-minimization multi-scale method to gas-liquid-solid fluidized beds".CHEMICAL ENGINEERING SCIENCE 56.24(2001):6805-6812.
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