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1、Chapter2Detai1edKineticsinCombustionSimu1ation:Manifestation9Mode1Reduction9andComputationa1DiagnosticsPengZhaoAbstractInthischapter,theessentia1featureofrea1isticcombustionchemistryisfirstintroduced.Manifestationsofnon1ineardetai1edchemistryinhomogeneouscombustionsystemsaswe11asconvective-diffusive
2、systemsaredemonstrated,withusefu1insightsonturbu1entcombustionandguidancefortheadoptionofdetai1edchemistryincombustionmode1ing.Recentprogressonpremixedandnonpremixedcoun1erowcoo1f1ame1etsissystematica11ydiscussed,shedding1ightonthe1oca1behaviorofdetai1edChemiStryinturbu1entreactingows.Inaddition,ano
3、verviewcoveringmode1reduction,stiffnessremova1,andothercomputationa1methodstofaci1itatechemistryintegrationisprovidedtoshowthefeasibi1itytoaccommodaterea1isticchemistryin1aminarandturbu1entcombustionmode1ing.1astbutnotthe1east,typica1methodsofcomputationa1diagnosticsarereviewedtoshowthenecessityandc
4、apabi1ityofprobingandunderstandingcombustionmode1ingresu1tsingenera1.KeywordsDetai1edchemistry,NTCMode1reductionStiffnessremova1Coo1f1ame,Computationa1diagnostics2.1IntrinsicComp1exitiesinDetai1edChemica1KineticsAmoderncombustionresearcherhasat1eastfivemajortasksinchemica1kinetics,inc1udingidentific
5、ationofthespeciesinvo1ved,identificationofthereactionsbetweenthespecies,determinationoftheparametersinvo1vedintherateconstants,so1vingtheordinarj,differentia1equations(ODE)forthechemistrysourceterm,andunderstandingthecoup1edbehaviorofchemistryandf1uidf1owdescribedbythegoverningpartia1differentia1equ
6、ations(PDE).C1ear1y,thefirstthreetasksareP.Zhao(DepartmentofMechanica1Engineering,Oak1andUniversity,Rochester,MI48309,USAe-mai1:pengzhaooak1and.edu;zhaodbustcSpringerNatureSingaporePte1td.201845S.Deeta1.(eds.).Mode1ingandSimu1ationofTurbu1emCombustion,Energy,Environment,andSustainabi1ity,https:/doi.
7、org/10.1007/978-981-10-7410-3_2responsibi1itiesofthechemists,whi1ethe1asttwoshou1dbeaccomp1ishedbythosewhoworkoncombustionphysicsandmode1ing.Thenumberonecha11engeinchemica1kineticsisthattherma1pyro1ysisandoxidationoffue1sconstant1yinvo1vemanyintermediatespeciesande1ementaryreactions,1eadingtothehigh
8、dimensiona1ityofa11combustionprob1ems.Consequent1y,extensiveebrtshavebeenspentonthedeve1opmentofchemica1kineticmode1soverthepastfewdecades,focusingonincreasing1ycomp1exfue1mo1ecu1esandb1ends.Unsurprising1y,thesizeofthechemica1mechanismssignificant1ygrowswithincreasingfue1mo1ecu1arsize(1uand1aw2009).
9、Giventhemo1ecu1arstructureofthefue1,thenumbersofspeciesandreactionscanbeuptoafewthousandsandtensofthousands,respective1y.Suchfeaturesdirect1y1eadtoimmensedifficu1tiesinthecomputationandunderstandingcombustioninc1udingsubprob1emsofuncertainquantification(UQ)(WangandSheen2015),mode1reduction(1amandGou
10、ssis1994),andstiffnessremova1(1ueta1.2009a,b).Throughthecombinedapproachofquantumchemistryca1cu1ationsand1aserspectroscopytechniques,thetransitionstate,rateconstant,andotherinformationonmanye1ementaryreactionscanbeacquiredquitesatisfactori1y(Mi11ereta1.2(X)5;Pi11ing2(X)9).However,quantifyingthee1eme
11、ntaryreactionratesonebyoneisextreme1ytime-consuming,andisstrong1y1imitedbythecomputationa1costforcomp1exfue1s.Consequent1y,kineticmode1ersfirsttrytoidentifya11possib1ee1ementaryreactionpathwaysbasedonexistingknow1edge,andtheneitherobtainknownreactionrateconstantsbasedonavai1ab1eca1cu1ationsandmeasur
12、ement(usua11yasma11portion)orestimatethosewherethere1atedca1cu1ationsormeasurementsarenotfeasib1e.Thiseventua11y1eadstotheconstructionofdetai1edreactionmechanisms(Westbrooketa1.2009).Inthesereactionmechanisms,pre-ca1cu1atedormeasuredreactionratesinevitab1yhaveuncertaintiesintherateconstants,andestim
13、atedratesareassociatedwith1argeruncertainties.Itisa1sohigh1ypossib1ethattherecou1dbeanincomp1etephysica1understandingormissingreactionpathwaysinthemode1construction,asinthecaseofarecent1ydiscovered1ow-temperaturereactionpathway(Ja1aneta1.2013).Theuncertaintiesinthemode1descriptionandreactionratecons
14、tantswou1deventua11ybereectedinthemode1ingresu1tssuchasignitionde1aytimeand1aminarf1amespeed,generatingbiasedcomparisonagainstexperimenta1measurements,andhencenecessitatingUQincombustionsystems.Whi1eitisre1ative1ystraightforwardtoeva1uateuncertaintyforhomogeneousand1aminarcombustionsystems,uncertain
15、tyinducedbychemica1kineticsinturbu1entcombustionmode1ingissti11underinvestigation(Mue11ereta1.2013).Acrucia1questionthatcou1dberaisedforchemistsandcombustionmode1ersis:whichreactionratesdoweneedaccurate1y,whichreactionratesdoweon1yneedtheirorderofmagnitude,andwhichreactionisthe“rateContro11ingwreact
16、ionofareactingsystem?Theanswerre1iesontheunderstandingofcombustionchemistryandtheuti1izationofcomputationa1diagnostics.Anothermajorprob1emresu1tingfromthehighdimensiona1ityofthekineticmode1istheunaffordab1ecomputationa1cost,inthatevenifa11thee1ementaryF*nUuctiX*.cnton.extinction,turbu1entmungtturbunceefn1rtnnsportmteractx.ernNomIeNOm).combustionnUbi1i(ieCbemiai15&InmportPrOCeUwmmiTkneFMtChemistrv,o*dWEHtfrmp