Acta mathematica scientia,Series A ›› 2002, Vol. 22 ›› Issue (4): 564-570.
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WENG Wen-Guo, FAN Wei-Cheng
Online:
Published:
Supported by:
国家重点基础研究专项经费(项目编号2001CB409600);国家自然科学基金重点项目(资助号: 59936140)资助
Abstract:
回燃是在通风受限的建筑火灾中,由于补充新鲜空气再次燃烧热烟气的现象.这种转捩现象是典型的突变行为.该文基于能量平衡方程建立了腔室火灾中回燃现象的简化数学模型,并利用突变理论建立了其突变拓扑空间函数方程,讨论了系统控制因子与工况状态之间的对应关系.结果表明回燃现象的突变形式是燕尾突变,并可依据其分岔集确定回燃现象的产生与否.
Key words: 回燃;突变;燕尾突变
CLC Number:
WENG Wen-Guo, FAN Wei-Cheng. Study on Catastrophe Behavior of Backdraft in Buliding Fires[J].Acta mathematica scientia,Series A, 2002, 22(4): 564-570.
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[1] ThompsonJM T,StewartH B.NonlinearDynamicsandChaos.Chichester:Wiley,1986 [2] WigginsS.IntroductiontoAppliedNonlinearDynamicalSystemsandChaos.New York:SpringerVerlag,1990 [3] SaundersPT.AnIntroductiontoCatastropheTheory.London:CambridgeUniversityPress,1980 [4] ArnoldVI.CatastropheTheory.Berlin:SpringerVerlag,1984 [5] PostonT,StewartI.CatastropheTheoryanditsApplication.London:PitmanPublishing,1979 [6] DrysdaleDD.AnIntroductiontoFireDynamics.Chichester:Wiley,1985 [7] FleischmannC M.BackdraftPhenomena.Gaithersburg:NationalInstituteofStandardsandTechnology,1994 [8] FleischmannC M,McGrattanKB.NumericalandExperimentalGravityCurrentsRelatedtoBackdrafts.FireSafe tyJ,1999,33:21-34 [9] GottukDT,Peatross M J,FarleyJP,WilliamsF W.TheDevelopmentand MitigationofBackdraft:aReal- ScaleShipboradStudy.FireSafetyJ,1999,33:261-282 [10] DunnV.BeatingtheBackdraft.FireEng,1988,14:44-48 [11] Graham TL,MakhviladzeG M,RobertsJP.OntheTheoryofFlashoverDevelopment.FireSafetyJ,1995,25: 229-259 [12] GriffithsJF,ScottS K.ThermokineticInteractions:FundamentalsofSpontaneousIgnitionandCoolFlames. ProgEnergyCombustSci,1987,13:161-197
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