Application of the energy-minimization multi-scale method to gas-liquid-solid fluidized beds

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	Application of the energy-minimization multi-scale method to gas-liquid-solid fluidized beds
	Liu, MY; Li, JH; Kwauk, MS
刊名	CHEMICAL ENGINEERING SCIENCE
	2001-12-01
卷号	56 期号:24 页码:6805-6812
关键词	gas-liquid-solid fluidized bed energy-minimization multi-scale fluidization multiphase flow mathematical modeling
ISSN号	0009-2509
其他题名	Chem. Eng. Sci.
中文摘要	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. 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.
英文摘要	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.
WOS标题词	Science & Technology ; Technology
类目[WOS]	Engineering, Chemical
研究领域[WOS]	Engineering
关键词[WOS]	FLOW ; HYDRODYNAMICS ; SYSTEMS
收录类别	SCI
原文出处	://WOS:000172815800002
语种	英语
WOS记录号	WOS:000172815800002
公开日期	2013-11-14
内容类型	期刊论文
版本	出版稿
源URL	[http://ir.ipe.ac.cn/handle/122111/5730]
专题	过程工程研究所_研究所（批量导入）
作者单位	Acad Sinica, Inst Chem Met, Beijing 100080, Peoples R China
推荐引用方式 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.