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In-Depth Exploration of the Dual-Bubble-Size Model for Bubble Columns
Alternative TitleInd. Eng. Chem. Res.
Wang, Yuhua4,5; Xiao, Qi4,6; Yang, Ning4; Li, Jinghai4
2012-02-01
Source PublicationINDUSTRIAL & ENGINEERING CHEMISTRY RESEARCH
ISSN0888-5885
Volume51Issue:4Pages:2077-2083
AbstractThe Dual-Bubble-Size (DES) model is an extension of the Energy-Minimization Multi-Scale (EMMS) model, which was originally proposed for gas-solid fluidization to gas-liquid systems. This model is featured by a stability condition in addition to conservative equations for two bubble classes. The stability condition is mathematically formulated as a minimization tendency of microscale energy dissipation and physically reflects the compromise between different dominant mechanisms. This work attempts to use the Simulated Annealing (SA) method to solve the nonlinear optimization problem of the model. It is found that the SA method could greatly reduce the computational cost while capturing the jump change of gas holdup more accurately for the DBS model. The jump change reflects the transition from homogeneous and transitional regimes to heterogeneous regime, and essentially arises from the inflection of the trajectory of global minimum point within the space of the three structure parameters. The DBS model then is extended to Triple-Bubble-Size (TBS) and Multiple-Bubble-Size (MBS) models by introducing three or more bubble classes. We find that the TBS and MBS model prediction is reduced to that of DBS model and the two characteristic bubble classes are distinct in the calculation, even though the gas is resolved into three or more bubble classes. This implies that gas-liquid flow in bubble columns are essentially dominated by two bubble dasses rather than multiple bubble classes, and the DBS model may be an intrinsic model for reflecting the compromising mechanisms in the system and thereby describing the system evolution and gas-liquid interaction. Its integration with computational fluid dynamics (CFD) simulation may offer a more reasonable way to model the complex gas-liquid flow in bubble columns.; The Dual-Bubble-Size (DES) model is an extension of the Energy-Minimization Multi-Scale (EMMS) model, which was originally proposed for gas-solid fluidization to gas-liquid systems. This model is featured by a stability condition in addition to conservative equations for two bubble classes. The stability condition is mathematically formulated as a minimization tendency of microscale energy dissipation and physically reflects the compromise between different dominant mechanisms. This work attempts to use the Simulated Annealing (SA) method to solve the nonlinear optimization problem of the model. It is found that the SA method could greatly reduce the computational cost while capturing the jump change of gas holdup more accurately for the DBS model. The jump change reflects the transition from homogeneous and transitional regimes to heterogeneous regime, and essentially arises from the inflection of the trajectory of global minimum point within the space of the three structure parameters. The DBS model then is extended to Triple-Bubble-Size (TBS) and Multiple-Bubble-Size (MBS) models by introducing three or more bubble classes. We find that the TBS and MBS model prediction is reduced to that of DBS model and the two characteristic bubble classes are distinct in the calculation, even though the gas is resolved into three or more bubble classes. This implies that gas-liquid flow in bubble columns are essentially dominated by two bubble dasses rather than multiple bubble classes, and the DBS model may be an intrinsic model for reflecting the compromising mechanisms in the system and thereby describing the system evolution and gas-liquid interaction. Its integration with computational fluid dynamics (CFD) simulation may offer a more reasonable way to model the complex gas-liquid flow in bubble columns.
KeywordStability Condition Regime Transition Complex-systems Optimization Dynamics Liquid
SubtypeArticle
WOS HeadingsScience & Technology ; Technology
DOI10.1021/ie200668f
URL查看原文
Indexed BySCI
Language英语
WOS KeywordSTABILITY CONDITION ; REGIME TRANSITION ; COMPLEX-SYSTEMS ; OPTIMIZATION ; DYNAMICS ; LIQUID
WOS Research AreaEngineering
WOS SubjectEngineering, Chemical
WOS IDWOS:000300467100062
Citation statistics
Cited Times:9[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Version出版稿
Identifierhttp://ir.ipe.ac.cn/handle/122111/6373
Collection研究所(批量导入)
Affiliation1.Chinese Acad Sci, Inst Proc Engn, State Key Lab Multiphase Complex Syst, Beijing 100190, Peoples R China
2.Chinese Acad Sci, Grad Univ, Beijing 100049, Peoples R China
3.Xi An Jiao Tong Univ, State Key Lab Multiphase Flow Power Engn, Xian 710049, Shaanxi, Peoples R China
4.Chinese Acad Sci, Inst Proc Engn, State Key Lab Multiphase Complex Syst, Beijing 100190, Peoples R China
5.Chinese Acad Sci, Grad Univ, Beijing 100049, Peoples R China
6.Xi An Jiao Tong Univ, State Key Lab Multiphase Flow Power Engn, Xian 710049, Shaanxi, Peoples R China
Recommended Citation
GB/T 7714
Wang, Yuhua,Xiao, Qi,Yang, Ning,et al. In-Depth Exploration of the Dual-Bubble-Size Model for Bubble Columns[J]. INDUSTRIAL & ENGINEERING CHEMISTRY RESEARCH,2012,51(4):2077-2083.
APA Wang, Yuhua,Xiao, Qi,Yang, Ning,&Li, Jinghai.(2012).In-Depth Exploration of the Dual-Bubble-Size Model for Bubble Columns.INDUSTRIAL & ENGINEERING CHEMISTRY RESEARCH,51(4),2077-2083.
MLA Wang, Yuhua,et al."In-Depth Exploration of the Dual-Bubble-Size Model for Bubble Columns".INDUSTRIAL & ENGINEERING CHEMISTRY RESEARCH 51.4(2012):2077-2083.
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