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典型文献
Exploration on the stability conditions in bubble columns by noncooperative game theory
文献摘要:
The energy-minimization multiscale(EMMS)model,originally proposed for gas-solid fluidization,fea-tures a stability condition to close the simplified conservation equations.It was put forward to physically reflect the compromise of two dominant mechanisms,i.e.,the particle-dominated with minimal potential energy of particles,and the gas-dominated with the least resistance for gas to penetrate through the par-ticle bed.The stability condition was then formulated as the minimization of the ratio of these two phys-ical quantities.Analogously,the EMMS approach was later extended to the gas-liquid flow in bubble columns,termed dual-bubble-size model.It considers the compromise of two dominant mechanisms,i.e.,the liquid-dominated regime with small bubbles,and the gas-dominated regime with large bubbles.The stability condition was then formulated as the minimization of the sum of these two physical quan-tities.Obviously,the two stability conditions were expressed in different manner,though gas-solid and gas-liquid systems bear some analogy.In addition,both the conditions transform the original multi-objective variational problem into a single-objective problem.The mathematical formulation of stability condition remains therefore an open question.This study utilizes noncooperative game theory and non-inferior solutions to directly solve the multi-objective variational problem,aiming to explore the different pathways of compromise of dominant mechanisms.The results show that only keeping the single dom-inant mechanism cannot capture the jump change of gas holdup,which is associated with flow regime transition.Hybrid of dominant mechanisms,noninferior solutions and noncooperative game theory can predict the flow regime transition.However,the game between the two mechanisms makes the two-bubble structure degenerate and reduce to the single-bubble structure.The game of the three mech-anisms restores the two-bubble structure.The exploration on the formulation of stability conditions may help to understand the roles and interactions of different dominant mechanisms in the origin of complex-itv in multiphase flow systems.
文献关键词:
作者姓名:
Jiachen Liu;Xiaoping Guan;Ning Yang
作者机构:
State Key Laboratory of Multiphase Complex Systems,Institute of Process Engineering,Chinese Academy of Sciences,Beijing 100190,China;School of Chemical Engineering,University of Chinese Academy of Sciences,Beijing 100049,China
引用格式:
[1]Jiachen Liu;Xiaoping Guan;Ning Yang-.Exploration on the stability conditions in bubble columns by noncooperative game theory)[J].中国化学工程学报(英文版),2022(10):75-84
A类:
noncooperative,Analogously,tities,noninferior,itv
B类:
Exploration,stability,conditions,columns,by,game,theory,energy,minimization,multiscale,EMMS,model,originally,proposed,gas,solid,fluidization,fea,tures,close,simplified,conservation,equations,It,was,put,forward,physically,reflect,compromise,two,dominant,mechanisms,dominated,minimal,potential,particles,least,resistance,penetrate,through,bed,then,formulated,these,quantities,approach,later,extended,liquid,flow,termed,dual,size,considers,regime,small,bubbles,large,sum,Obviously,were,expressed,different,manner,though,systems,bear,some,analogy,In,addition,both,transform,objective,variational,problem,into,single,mathematical,formulation,remains,therefore,open,question,This,study,utilizes,solutions,directly,solve,aiming,explore,pathways,results,show,that,only,keeping,cannot,capture,jump,change,holdup,which,associated,transition,Hybrid,predict,However,between,makes,structure,degenerate,reduce,three,restores,exploration,may,help,understand,roles,interactions,complex,multiphase
AB值:
0.430826
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