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    ThermodynamicsandHYSYS 1

    ThermodynamicsandHYSYS

    2000AEATechnologyplc-AllRightsReserved.Chem2_5.pdf 1

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    2 ThermodynamicsandHYSYS

    WorkshopOneoftheminssetsof!"#"#isitsstrongthermodynmic

    fo$ndtion.%otonlycnyo$$se&idevrietyofinternlproperty

    pc'ges(yo$cn$set)$lrcp)ilitiestooverridespecificproperty

    clc$ltionsformorecc$rcyovernrro&rnge.Or(yo$cn$sethe

    f$nctionlityprovidedthro$ghO*Etointerct&ithe+ternlly

    constr$ctedpropertypc'ges.

    The)$ilt-inpropertypc'gesin!"#"#providecc$rte

    thermodynmic(physiclndtrnsportpropertypredictionsfor

    hydrocr)on(non-hydrocr)on(petrochemiclndchemiclfl$ids.

    Thedt)seconsistsofne+cessof,500componentsndover,000

    fitted)inrycoefficients.f li)rrycomponentcnnot)efo$nd

    &ithinthedt)se(comprehensiveselectionofestimtionmethods

    isvil)leforcretingf$lly definedhypotheticlcomponents.

    !"#"#lsocontinsregressionpc'ge&ithinthet)$lrfet$re.

    E+perimentlp$recomponentdt(&hich!"#"#providesforover

    ,000components(cn)e$sedsinp$ttotheregressionpc'ge.

    Alterntively(yo$cns$pplementthee+istingdtors$pplysetof

    yo$ro&ndt.Theregressionpc'ge&ill fittheinp$tdttooneof

    then$mero$smthemticle+pressionsvil)lein!"#"#.This&ill

    llo&yo$too)tinsim$ltionres$ltsforspecificthermophysicl

    propertiesthtcloselymtchyo$re+perimentl dt.

    !o&ever( thererecses&hen theprmetersclc$lted)y!"#"#

    re notcc$rteeno$gh(orcses&henthemodels$sed)y!"#"#do

    notpredictthecorrect)ehvio$rofsomeli/$id-li/$idmi+t$res

    01eotropicmi+t$res.3orthosecsesitisrecommendedto$se

    notherof!yprotech4sprod$cts(#T*.Thispo&erf$lsim$ltion

    progrmprovidesnenvironmentfore+plortionofthermodynmic

    model)ehvio$r(properdetermintionndt$ningofinterction

    prmetersndphysiclproperties(s&ellslterntivedesignsfor

    distilltionsystems.

    2

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    ThermodynamicsandHYSYS 3

    6roper$seofthermodynmicpropertypc'geprmetersis'eyto

    s$ccessf$lly sim$ltingnychemiclprocess.Effectsofpress$rend

    tempert$recndrsticllylterthecc$rcyofsim$ltiongiven

    missingprmetersorprmetersfittedfordifferentconditions.

    !"#"#is$serfriendly)yllo&ing/$ic'vie&ingndchngingofthe

    prtic$lrprmetersssocited&ithnyofthepropertypc'ges.n

    ddition(yo$re)leto/$ic'lychec'theres$ltsofonesetof

    prmetersndcomprethoseres$lts&ithnotherset.

    nthismod$le(yo$&ill e+plorethethermodynmicpc'gesof!"#"#

    ndtheproper$seoftheirthermodynmicprmeters.

    LearningObjectivesOnceyo$hvecompletedthismod$le(yo$&ill)e)leto7

    SelectanappropriatePropertyPackage

    UnderstandthevalidityofeachActivityModel

    Enternewinteractionparametersforapropertypackage

    Checkmltiphase!ehaviorofastream

    Understandtheimportanceofproperlyregressed!inarycoefficients

    "

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    4 ThermodynamicsandHYSYS

    SelectingPropertyPackagesThepropertypc'gesvil)lein!"#"#llo&yo$topredict

    propertiesofmi+t$resrngingfrom&ell definedlighthydrocr)on

    systemstocomple+oilmi+t$resndhighlynon-idel non-electrolytic

    chemiclsystems.!"#"#providesenhncede/$tionsofstte6R

    nd6R#8forrigoro$stretmentofhydrocr)onsystems9semi-

    empiricl ndvpo$rpress$remodelsforthehevierhydrocr)on

    systems9stemcorreltionsforcc$rtestempropertypredictions9

    ndctivitycoefficientmodelsforchemiclsystems.Allofthese

    e/$tionshvetheiro&ninherentlimittionsndyo$reenco$rged

    to)ecomemorefmilir&iththepplictionofeche/$tion.

    Thefollo&ingt)lelistssometypicl systemsndrecommendedcorreltions7

    Typeof#ystem Recommended6roperty6c'ge

    TE: ehydrtion 6R

    #o$r;ter 6R(#o$r6R

    Cryogenic:s6rocessing 6R(6R#8

    Air#eprtion 6R(6R#8

    AtmCr$deTo&ers 6R(6R Options(:#

    8c$$mTo&ers 6R(6R Options(:#,0(

    Esso>

    EthyleneTo&ers *ee>esler6loc'er

    !igh!2#ystems 6R(?@or:#seeTA6limits

    Reservoir#ystems 6R(6R Options

    #tem#ystems #tem6c'ge(C#or:#

    !ydrtenhi)ition 6R

    Chemicl#ystems ActivityBodels(6R#8

    !3Al'yltion 6R#8(%RT*Contct!yprotech

    TE:ehydrtion&ith

    Aromtics

    6RContct!yprotech

    #

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    ThermodynamicsandHYSYS 5

    E$ationsofState3oroil(gsndpetrochemiclpplictions(the6eng-Ro)insonEO#

    6Risgenerllytherecommendedpropertypc'ge.!"#"#c$rrently

    offerstheenhnced6eng-Ro)inson6Rnd#ove-Redlich->&ong

    #R>e/$tionsofstte.nddition(!"#"#offersseverlmethods

    &hichremodifictionsofthesepropertypc'ges(incl$ding6R#8(

    ?$d'evitch@offee?@nd>)dinner>.*ee>esler6loc'er

    *>6isndpttionofthe*ee>eslere/$tionsformi+t$res(&hich

    itself&smodifiedfromthe=;Re/$tion.Ofthese(the6eng-

    Ro)insone/$tionofsttes$pportsthe&idestrngeofoperting

    conditionsndthegretestvrietyofsystems.The6eng-Ro)insonnd

    #ove-Redlich->&onge/$tionsofstteEO#genertellre/$ired

    e/$ili)ri$mndthermodynmicpropertiesdirectly.Altho$ghtheformsoftheseEO#methodsrecommon&ithothercommercil

    sim$ltors(theyhve)eensignificntlyenhnced)y!yprotechto

    e+tendtheirrngeofpplic)ility.

    %hePeng&'o!insonpropertypackageoptionsarePR(SourPR(andPRSV)

    Soave&'edlich&*wonge$ationofstateoptionsaretheSRK(SourSRK(KDandZJ)

    3ortheChemiclind$stryd$etothecommonocc$rrenceofhighly

    non-idelsystems(the6R#8EO#my)econsidered.tist&o-fold

    modifictionofthe6Re/$tionofsttethte+tendsthepplictionof

    theoriginl6Rmethodforhighlynon-idelsystems.

    +thasshowntomatchvaporpressrecrvesofprecomponentsandmi,tres(especiallyatlowvaporpressres)

    +thas!eensccessfllye,tendedtohandlenon&idealsystemsgivingresltsasgoodasthoseo!tained!yactivitymodels)

    Alimitedamontofnon&hydrocar!oninteractionparametersareavaila!le)

    ActivityModels

    Altho$ghe/$tionofsttemodelshveprovento)everyreli)lein

    predictingpropertiesofmosthydrocr)on)sedfl$idsoverlrge

    rngeofopertingconditions(theirpplictionhs)eenlimitedtoprimrily non-polr or slightlypolr components. 6olr or non-

    idel chemiclsystemshve trditionlly)eenhndled$singd$l

    model pproches.

    ActivityBodelsrem$chmoreempiriclinnt$re&hencompredto

    -

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    6 ThermodynamicsandHYSYS

    thepropertypredictionsinthehydrocr)onind$stry.3ore+mple(

    theycnnot)e$sedsreli)lysthee/$tionsofstteforgenerli1ed

    pplictionore+trpoltinginto$ntestedopertingconditions.Their

    t$ningprmeterssho$ld)efittedginstrepresenttivesmpleof

    e+perimentldtndtheirpplictionsho$ld)elimitedtomoderte

    press$res.

    3oreverycomponentiinthemi+t$re(theconditionof

    thermodynmicse/$ili)ri$misgiven)ythee/$lity)et&eenthe

    f$gcitiesoftheli/$idphsendvpo$rphse.Thisfet$regivesthe

    fle+i)ilityto$seseprtethermodynmicmodelsfortheli/$idndgs

    phses(sothef$gcitiesforechphsehvedifferentforms.nthis

    pproch7

    ane$ationofstateissedforpredictingthevaporfgacitycoefficients.normallyidealgasassmptionorthe'edlich*wong(Peng&'o!insonorS'*e$ationsofstate(althogha/iriale$ationofstateisavaila!leforspecificapplications0

    anactivitycoefficientmodelissedfortheli$idphase)

    Altho$ghthereisconsider)lereserch)eingcond$ctedtoe+tend

    e/$tionofsttepplictionsintothechemicl ind$strye.g.(6R#8

    e/$tion(thestteofthertofpropertypredictionsforchemicl

    systemsisstill governedminly)yActivityBodels.

    ActivityModelsproducethebestresultswhentheyareappliedintheoperatingregionforwhichtheinteractionparameterswereregressed.

    Activitycoefficientsref$dgeDfctorsppliedtotheidelsol$tion

    hypothesisRo$lt4s*&initssimplestformtollo&thedevelopment

    ofmodels&hichct$llyrepresentreldt.Altho$ghtheyref$dgeDfctors(ctivitycoefficientshvene+ctthermodynmicmenings

    thertioofthef$gcitycoefficientofcomponentinmi+t$ret6nd

    T(ndthef$gcitycoefficientofthep$recomponenttthesme6nd

    T.Consequently,morecautionshouldbeexercisedwhenselectingthese

    modelsforyoursimulation.

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    ThermodynamicsandHYSYS

    Thefollo&ingt)le)rieflys$mmri1esrecommendedctivity

    coefficientmodelsfordifferentpplictionsrefertothe)$lleted

    referenceg$ide)elo&7

    Appliction Brg$les vn*r ;ilson %RT* %FAC

    =inry#ystems A A A A A

    B$lticomponent

    #ystems

    *A *A A A A

    A1eotropic#ystems A A A A A

    *i/$id-*i/$id

    E/$ili)ri

    A A %AA A A

    il$te#ystems G G A A A

    #elf-Associting

    #ystems

    G G A A A

    6olymers %A %A %A %A A

    E+trpoltion G G : : :

    !2Applica!le "#!23otApplica!le $24estiona!le %25ood &!26imitedApplication

    7

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    ' ThermodynamicsandHYSYS

    8verviewofModels

    Margles

    Oneoftheerliestctivitycoefficiente+pressions&sproposed)y

    Brg$lesttheendofthe,Hthcent$ry.

    %heMarglese$ationwasthefirst5i!!se,cessenergyrepresentationdeveloped)

    %hee$ationdoesnothaveanytheoretical!asis(!tisseflfor$ickestimatesanddatainterpolation)

    +nitssimplestform(ithas9stonead9sta!leparameterandcanrepresentmi,treswhichfeatresymmetricactivitycoefficientcrves)

    TheMargulesequationshouldnotbeusedforextrapolationbeyondtherangeoverwhichtheenergyparameters havebeenfitted.

    ThevanLaarequationperformspoorlyfordilutesystemsandCA!Trepresentmanycommonsystems,suchasalcohol"hydrocarbonmixtures, withacceptableaccuracy.

    !"#"#hsne+tendedm$lticomponentBrg$lese/$tion&ith$pto

    fo$rdI$st)leprmetersper)inry.Thefo$rdI$st)leprmeters

    fortheBrg$lese/$tionin!"#"#retheiIndIitempert$re

    independentndthe)iInd)Iitermstempert$redependent.

    %hee$ationwillseparametervalesstoredin:;S;Soranysersppliedvaleforfrtherfittingthee$ationtoagivensetofdata)

    +n:;S;S(thee$ationisempiricallye,tendedandthereforecationshold!ee,ercisedwhenhandlingmlticomponentmi,tres)

    van6aar

    The vn *r e/$tion &s the first :i))s e+cess energy

    representtion &ithphysicl significnce. This e/$tion fits mny

    systems /$ite &ell( prtic$lrly for **E component distri)$tions. t

    cn)e$sedfor

    systemsthte+hi)itpositiveornegtivedevitionsfromRo$lt4s*&.

    #omeofthedvntgesnddisdvntgeforthismodel re7

    5enerallyre$ireslessCPUtimethanotheractivitymodels)

    +tcanrepresentlimitedmisci!ilityaswellasthreephasee$ili!rim)

    +tcannotpredictma,imaorminimaintheactivitycoefficient

    andtherefore(generallyperformspoorlyforsystemswithhalogenatedhydrocar!onsandalcohols)

    +talsohasatendencytopredicttwoli$idphaseswhentheydonote,ist)

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    ThermodynamicsandHYSYS (

    Thevn*re/$tionimplementedin!"#"#hst&oprmeters&ith

    linertempert$redependency(th$sm'ingitfo$rprmeter

    model.n!"#"#( thee/$tionisempiricllye+tendedndthereforeits

    $sesho$ld)evoided&henhndlingm$lticomponentmi+t$res.

    =ilson

    The;ilsone/$tion(proposed)y:rntB.;ilsonin,HJ(&sthe

    firstctivitycoefficiente/$tiontht$sedtheloclcompositionmodel

    toderivethe:i))sE+cessenergye+pression.toffers

    thermodynmicllyconsistentpprochtopredictingm$lti-

    component)ehvio$rfromregressed)inrye/$ili)ri$mdt.

    The #ilson equationCA!T be used forproblems involving liquid"liquidequilibrium.

    The additionalparameterinthe$TLequation,calledthealphaterm,ornon"randomnessparameter,

    representsthe inverseofthecoordinationnumberofmolecule%i&surroundedbymolecules%'&.(ince liquidsusuallyhaveacoordinationnumberbetween)and*,youmightexpectthe alphaparameterbetween+.-and+.)).

    Althoghthe=ilsone$ationismorecomple,andre$iresmoreCPUtimethaneitherthevan6aarorMarglese$ations(itcanrepresentalmostallnon&idealli$idsoltionssatisfactorilye,ceptelectrolytesandsoltionse,hi!itinglimitedmisci!ility.66Eor/66E0)

    +tperformsane,cellent9o!ofpredictingternarye$ili!rimsingparametersregressedfrom!inarydataonly)

    +twillgivesimilarresltstotheMarglesandvan6aare$ationsforweaknon&idealsystems(!tconsistentlyotperformsthemforincreasinglynon&idealsystems)

    +tcannotpredictli$id&li$idphasesplittingandthereforesholdonly!esedonpro!lemswheredemi,ingisnotanisse)

    O$re+periencesho&sthtthe;ilsone/$tioncn)ee+trpolted

    &ith reson)le confidence to other operting regions &ith the

    sme setofregressedenergyprmeters.

    3'%6

    The%RT*%on-Rndom-T&o-*i/$ide/$tion(proposed)yRenon

    nd6r$snit1in,HK(isne+tensionoftheoriginl ;ilsone/$tion.t

    $sessttisticlmechnicsndtheli/$idcell theorytorepresentthe

    li/$idstr$ct$re.Theseconcepts(com)ined&ith;ilson4slocl

    compositionmodel(prod$cene/$tioncp)leofrepresenting8*E(

    **E(nd8**Ephse)ehvio$r.*i'ethe;ilsone/$tion(the%RT*

    model isthermodynmiclly consistentndcn)eppliedtoternry

    ndhigherordersystems$singprmetersregressedfrom)inrye/$ili)ri$mdt.The%RT*model hsncc$rcycompr)letothe

    ;ilsone/$tionfor8*Esystems.

    %he3'%6com!inestheadvantagesofthe=ilsonandvan6aare$ations)

    >

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    1) ThermodynamicsandHYSYS

    +tisnote,tremelyCPUintensive)

    +tcanrepresent66E$itewell)

    :owever(!ecaseofthemathematicalstrctreofthe3'%6e$ation(itcanprodceerroneosmltiplemisci!ilitygaps)

    The%RT*e/$tionin!"#"#continsfivedI$st)leprmeters

    0tempert$redependentndindependentforfittingper)inrypir.

    U3+4UAC

    The%FAC%verslFAsiChemicle/$tionproposed)y

    A)rmsnd6r$snit1in,HL5$sessttisticlmechnicsndthe/$si-

    chemicl theoryof:$ggenheimtorepresenttheli/$idstr$ct$re.The

    e/$tioniscp)leofrepresenting**E(8*End8**E&ithcc$rcycompr)letothe%RT*e/$tion()$t&itho$ttheneedfornon-

    rndomnessfctor(itist&oprmetermodel.

    The%FACe/$tionissignificntlymoredetilednd

    sophistictedthnnyoftheotherctivitymodels.

    +tsmainadvantageisthatagoodrepresentationof!oth/6Eand66Ecan!eo!tainedforalargerangeofnon&electrolytemi,tressingonlytwoad9sta!leparametersper!inary)

    %hefittedparameterssallye,hi!itasmallertemperatredependencewhichmakesthemmorevalidfore,trapolationprposes)

    %heU3+4UACe$ationtili?estheconceptoflocal

    compositionasproposed!y=ilson)Sincetheprimaryconcentrationvaria!leisasrfacefractionasopposedtoamolefraction(itisapplica!letosystemscontainingmoleclesofverydifferentsi?esandshape(schaspolymersoltions)

    %heU3+4UACe$ationcan!eappliedtoawiderangeofmi,trescontaining:28(alcohols(nitriles(amines(esters(ketones(aldehydes(halogenatedhydrocar!onsandhydrocar!ons)

    n its simplest form it is t&oprmeter model( &ith the sme

    remr's s;ilson nd%RT*.%FACneeds vnder;ls re

    ndvol$meprmeters(ndthosecnsometimes)ediffic$lttofind(

    especilly for non-condens)le gses ltho$gh 66R hs fir

    n$m)ervil)le.

    E,tendedand5eneral3'%6

    TheE+tendednd:enerl%RT*modelsrevritionsofthe%RT*

    model(simple%RT*&ithcomple+tempert$redependencyforthe

    iIndIiterms.Applyeithermodel tosystems7

    1@

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    ThermodynamicsandHYSYS 11

    The general$TLmodel isparticularly susceptible toinaccuracies if the model isusedoutsideofthe intendedrange.

    Care mustbetaentoensurethatyouare operatingwithintheboundsofthemodel.

    ointeractionbetween/non"condensable/componentpairsista.enintoaccountinthe 0L1calculations.

    withawide!oilingpointrange!etweencomponents

    whereyore$iresimltaneossoltionof/6Eand66E(andtheree,istsawide!oilingrangeorconcentrationrange!etweencomponents

    E+tremec$tionm$st)ee+ercised&hene+trpolting)eyondthe

    tempert$rendpress$rernges$sedinregressionofprmeters.5$e

    tothelrgern$m)erofprmeters$sedinfitting(incc$rteres$lts

    cn)eo)tinedo$tsidetheoriginl)o$nds.

    Chien&3ll

    Chien-%$ll isnempiriclmodeldesignedtollo&yo$tomi+nd

    mtchmodels&hich&erecreted$singdifferentmethodsnd

    com)inedintom$lticomponente+pression.TheChien-%$llmodel

    providesconsistentfrme&or'forpplyinge+istingctivitymodels

    on)inry)y)inry)sis.nthismnner(Chien-%$ll llo&syo$to

    selectthe)estctivitymodel forechpirinthecse.3ore+mple(

    Chien-%$ll cnllo&the$sertohve)inrydefined$sing%RT*(

    nother$singBrg$lesndnother$singvn*r(ndcom)inethem

    toperformthreecomponentclc$ltion(mi+ingthreedifferent

    thermodynmicmodels.

    TheChien%$llmodelllo&sMsetsofcoefficientsforechcomponent

    pir(ccessi)levitheA(=ndCcoefficientmtrices.

    providesmoreinformtionon6roperty6c'ges(E/$tionsof#tte(ndActivity Bodels(ndthee/$tionsforech.

    :enrys6aw

    !enry4s*&cnnot)eselectede+plicitlyspropertymethodin

    !"#"#.!o&ever(!"#"#&ill $se!enry4s*&&hennctivitymodel is

    selectedndNnon-condens)leNcomponentsreincl$ded&ithinthe

    componentlist.

    !"#"#considersthefollo&ingcomponentsnon-condens)le7

    Bethne(Ethne(Ethylene(Acetylene(!ydrogen(!eli$m(Argon(

    %itrogen(O+ygen(%O(!2#( CO2(ndCO.

    11

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    12 ThermodynamicsandHYSYS

    Thee+tended!enry4s*&e/$tionin!"#"#is$sedtomodeldil$te

    sol$teAsolventinterctions.N%on-condens)leNcomponentsre

    definedsthosecomponentsththvecriticltempert$res)elo&the

    systemtempert$re.

    ActivityModel/aporPhase8ptions

    Therereseverlmethodsvil)leforclc$ltingthe8po$r6hsein

    conI$nction&iththeselectedli/$idctivitymodel.Thechoice&ill

    dependonspecificconsidertionsofyo$rsystem.

    +deal

    Theidel gsl&cn)e$sedtomodel thevpo$rphse.Thismodel is

    ppropriteforlo&press$resndforvpo$rphse&ithlittle

    intermolec$lrinterction.Themodel isthedef$ltvpo$rphse

    f$gcityclc$ltionmethodforctivitycoefficientmodels.

    Peng'o!inson(S'*or'*

    Tomodelnon-idelitiesinthevpo$rphse(the6R(#R>(orR>

    optionscn)e$sedinconI$nction&ithnctivitymodel.

    PRandSRKvaporphasemodelshandlethesametypesofsitationsasthePRandSRKe$ationsofstate)

    =henselectingoneofthesethreemodels(ensrethatthe!inaryinteractionparameterssedfortheactivitymodelremainapplica!lewiththechosenvapormodel)

    Borapplicationswithcompressorsandtr!ines(PRorSRKwill!esperiortotheRKor+dealvapormodel)

    /irial

    Careshouldbeexercisedinchoosing2$,($3,$0or0irialtoensure binarycoefficientshave beenregressedwiththecorrespondingvapourphasemodel.

    The8iriloptionen)lesyo$to)ettermodelvpo$rphsef$gcities

    ofsystemsdisplyingstrongvpo$rphseinterctions.Typiclly this

    occ$rsinsystemscontiningcr)o+yliccids(orcompo$ndsththve

    thetendencytoformst)le!2)ondsinthevpo$rphse.

    !"#"#continstempert$redependentcoefficientsforcr)o+yliccids."o$cnover&ritethese)ychngingtheAssocitioniIor

    #olvtioniicoefficientsfromthedef$ltvl$es.

    Thisoptionisrestrictedtosystems&herethedensityismoderte(

    typicllylessthnone-hlfthecriticldensity.

    12

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    ThermodynamicsandHYSYS 13

    Thenumbersappearinginthematrixareinitiallycalculatedby45(5(, butyouhavetheoptionofoverwritinganylibraryvalue.

    inaryCoefficients3orthe6roperty6c'ges&hichdoincl$de)inrycoefficients(the

    =inryCoefficientst)continsmtri+&hichliststheinterction

    prmetersforechcomponentpir.5ependingontheproperty

    methodchosen(differentestimtionmethodsmy)evil)lend

    differentvie&my)esho&n."o$hvetheoptionofover&ritingny

    li)rryvl$e.

    E$ationofState+nteractionParameters

    TheE/$tionof#ttenterction6rmetersgro$ppperssfollo&s

    onthe=inryCoeffst)&hennEO#istheselectedpropertypc'ge7

    3orllEO#prmeterse+cept6R#8(

    3i'63'i

    so&henyo$chngethevl$eofoneofthese()othcellsofthepir

    $tomticlly$pdte&iththesmevl$e.nmnycses(theli)rry

    interctionprmetersfor6R#8dohve3i'63'i()$t!"#"#doesnot

    forcethisifyo$modifyoneprmeterin)inrypir.

    1"

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    14 ThermodynamicsandHYSYS

    f yo$re$sing6Ror#R>oroneofthe#o$roptions(t&ordio

    )$ttonsredisplyedtthe)ottomofthepgeintheTretmentof

    nterctionCoefficientsnvil)lefromthe*i)rrygro$p7

    *s+ima+eH,-H,#Se+"onH,-H,+o).)Dthisradio!ttonisthedefaltselection):;S;Sprovidestheestimatesfortheinteractionparametersinthematri,(settingallnon&hydrocar!onpairsto@)

    Se+!//+o).)Dwhenthisisselected(:;S;Ssetsallinteractionparametervalesinthematri,to@)@)

    ActivityModel+nteractionParameters

    ActivityBodelsrem$chmoreempiriclinnt$re&hencompredto

    thepropertypredictionsinthehydrocr)onind$stry.Theirt$ning

    prmeterssho$ld)efittedginstrepresenttivesmpleof

    e+perimentldtndtheirpplictionsho$ld)elimitedtomoderte

    press$res.

    TheActivityBodelnterction6rmetersgro$ppperssfollo&s

    onthe=inryCoeffst)&hennActivityBodelistheselected

    propertypc'ge7

    Theinterctionprmetersforech)inrypir&ill)edisplyed."o$

    cnover&ritenyvl$eor$seoneoftheestimtionmethods.

    %otethtthe3i'63'ir$ledoesnotpplytoActivityBodel interction

    prmeters.

    1#

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    ThermodynamicsandHYSYS 15

    EstimationMethods

    ;hen$singActivityBodels(!"#"#providesthreeinterction

    prmeterestimtionmethods.#electtheestimtionmethod)y

    choosingoneoftherdio)$ttonsintheCoeffEstimtion&indo&.The

    optionsre7

    U3+BAC/6E

    U3+BAC66E

    +mmisci!le

    "o$cntheninvo'etheestimtion)yselectingoneofthevil)le

    cells.

    3or%3ACmethodstheoptionsre7

    0ndiidua/PairDcalclatestheparametersfortheselectedcomponentpair(Ai9 andA9i)%hee,istingvalesinthematri,areoverwritten)

    nnons n/yDcalclates theactivityparameters forallthe nknown pairs) +f yo delete the contents of cells or if:;S;S does not provide defalt vales( yo can se thisoption)

    !//inariesDrecalclatesallthe!inariesofthematri,)+fyohadchangedsomeoftheoriginal:;S;Svales(yocoldsethistohave:;S;Sre&estimatetheentirematri,)

    .

    ret$rntheoriginlli)rry vl$es.Estimtionvl$es&ill)eret$rned$singtheselected%3ACmethod.Toret$rntotheoriginlli)rry vl$es(yo$m$stselectne&propertymethodndthenre-selecttheoriginlpropertymethod

    The 89:AC;89quacgroup":unctionalActivityCoefficient

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    16 ThermodynamicsandHYSYS

    =hichActivityCoefficientModelShold+Use

    Thisisto$gh/$estiontons&er()$tsomeg$idelinesreprovided.f

    yo$re/$iredditionl ssistnce(itis)esttocontct!yprotech4s

    Technicl#$pportdeprtment.

    asicFata

    Activitycoefficientmodelsreempiricl)ynt$rendthe/$lityof

    theirpredictiondependsonthe/$lityndrngeofdt$sedto

    determinetheprmeters.#omeimportntthingsyo$sho$ld)e&re

    ofin!"#"#.

    %heparameters!iltin:;S;Swerefittedat1atmwhereverpossi!le(orwerefittedsingisothermaldatawhichwoldprodcepressresclosestto1atm)%heyaregoodforafirstdesign(!talwayslookfore,perimentaldataclosertotheregionyoareworkingintoconfirmyorreslts)

    %hevalesinthe:;S;Scomponentdata!asearedefinedfor/6Eonly(hencethe66Epredictionmaynot!everygoodandadditionalfittingisnecessary)

    Fatasedinthedeterminationof!iltininteractionparametersveryrarelygoes!elow@)@1molefraction(ande,trapolatingintotheppmorpp!regioncan!erisky)

    Again(!ecasetheinteractionparameterswerecalclatedatmodestpressres(sally1atm(theymay!einade$ateforprocessesathighpressres)

    Checktheaccracyofthemodelfora?eotropicsystems)Additionalfittingmay!ere$iredtomatchthea?eotropewithaccepta!leaccracy)Checknotonlyforthetemperatre(!tforthecompositionaswell)

    +fthreephase!ehaviorissspected(additionalfittingoftheparametersmay!ere$iredtorelia!lyreprodcethe/66Ee$ili!rimconditions)

    U3+BACornoU3+BAC

    %3ACishndytool togiveinitilestimtesforctivitycoefficient

    models.%evertheless'eepinmindthefollo&ing7

    5ropcontri!tionmethodsarealwaysappro,imateandtheyarenots!stittionsfore,perimentaldata)

    U3+BACwasdesignedsingrelativelylowmoleclarweightcondensa!lecomponents.thshigh!oilersmaynot!ewellrepresented0(singtemperatres!etween@&1-@oCanddataatmodestpressres)

    1

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    ThermodynamicsandHYSYS 1

    5enerally(U3+BACdoesnotprovidegoodpredictionsforthedilteregion)

    ChoosinganActivityModel

    Agin(somegenerl g$idelinestoconsider.

    8ar9u/esoran&aar&generallychosenifcomptationspeedisaconsideration)=iththecompterswehavetoday(thisissallynotanisse)Mayalso!echosenifsomepreliminaryworkhas!eendonesingoneofthesemodels)

    :i/son&generallychosenifthesystemdoesnote,hi!itphasesplitting)

    "RT&or"0;!,&generallychosenifthesysteme,hi!itsphasesplitting)

    %enera/"RT&&sholdonly!esedifana!ndantamontofdataoverawidetemperatrerangewassedtodefineitsparameters)8therwiseitwillprovidethesamemodellingpoweras3'%6)

    ExploringwiththeSimlation6roper$seofthermodynmicpropertypc'geprmetersis'eyto

    s$ccessf$lly sim$ltingnychemiclprocess.Effectsofpress$rendtempert$recndrsticllylterthecc$rcyofsim$ltiongiven

    missingprmetersorprmetersfittedfordifferentconditions.

    !"#"#is$serfriendlyinllo&ing/$ic'vie&ingndchngingofthe

    prtic$lrprmetersssocited&ithnyofthepropertypc'ges.

    Additionlly(the$seris)leto/$ic'lychec'theres$ltsofonesetof

    prmetersndcompreginstnother.

    17

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    1' ThermodynamicsandHYSYS

    E,ercise1

    Fi&iso&Propyl&EtherG:28inary

    Thise+mpleeffectivelydemonstrtestheneedforhvinginterction

    prmeters.othefollo&ing7

    ,. Opencse6E.hsc.

    2. Enterthefollo&ingconditionsforstrem6EA!2O7

    Conditions

    8po$r3rction 0.0

    6ress$re ,tm

    Bolr3lo& ,'gmoleAh,l)moleAhr

    Composition

    di-i-6-Ether 50mole

    !2O 50mole

    #hatphasesarepresent>??????????

    M. Closethestremvie&ndpressthe1nter7asis1nvironment)$tton.

    J. #electthe=inryCoeffst)ofthe3l$id6c'ge.%oticethttheinterctionprmetersforthe)inryre)othsetto0.0.

    5. 6ressthe$eset2arams)$ttontorecll thedef$lt%RT*ctivity

    coefficientmodelinterctionprmeters.

    . Closethe3l$id6c'gevie&.

    L. Ret$rntothesim$ltionenvironment)ypressingthe$eturnto

    (imulation1nvironment)$tton.

    K. Openthestremvie&)ydo$)leclic'ingonthestrem6EA

    !2O.

    #hatphasesarenowpresent>??????????

    #hatisthecompositionofeach>??????????

    1

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    ThermodynamicsandHYSYS 1(

    Clerly(itcn)eseenho&importntitistohveinterction

    prmetersforthethermodynmicmodel.The+yphsedigrmson

    thene+tpgefig$res,nd2ill$strtethehomogeneo$s)ehvio$r

    &hennoprmetersrevil)lendtheheterogeneo$s1eotropic

    )ehvio$r&henproperlyfittedprmetersre$sed.ThemIorityof

    thedef$ltinterctionprmetersforctivitycoefficientmodelsin

    !"#"#hve)eenregressed)sedon8*EdtfromEC!EBA(

    Chemistryt#ervices.

    1>

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    2) ThermodynamicsandHYSYS

    3ig.,-nterction6rmeterssetto0.

    3ig.2-singtheef$lt!"#"#nterction6rmeters.

    2@

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    ThermodynamicsandHYSYS 21

    E,ercise2

    PhenolG:28inary

    This)inrysho&stheimportnceofens$ringthtproperlyfitted

    interctionprmetersfortheconditionsofyo$rsim$ltionre$sed.

    Thedef$ltprmetersforthe6henolA!2Osystemhve)een

    regressedfromtheEC!EBAChemistrydtseriesndprovidevery

    cc$rtevpo$r-li/$ide/$ili)ri$msincetheoriginldtso$rce,

    &sinthisformt.!o&ever(the6henolA;tersystemislsosho&nto

    e+hi)itli/$id-li/$id)ehvio$r2.Asetofinterctionprmeterscn

    )eo)tinedfromso$rcess$chsEC!EBAndenteredinto!"#"#.

    Thefollo&inge+mpleill$strtesthepoor**Epredictionthncn)e

    prod$ced)ycompringtheres$lts$singdef$ltinterction

    prmetersndspecillyregressed**Eprmeters.

    ,. Openthecse6henolh2o.hsc.

    2. Enterthefollo&ingconditionsforstrem6henolA!2O7

    Conditions

    Tempert$re J0PC

    6ress$re ,tm

    Bolr3lo& ,'gmoleAh,l)moleAhr

    Composition

    6henol 25mole

    !2O L5mole

    #hatphase;s??????????

    21

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    22 ThermodynamicsandHYSYS

    Toprovide)etterpredictionfor**EtJ0oC,05o3thefollo&ingAiI

    interctionprmetersreto)eentered.Toentertheprmetersdo

    thefollo&ing7

    ,. Closethestremvie&ndpressthe1nter7asis1nvironment)$tton.

    2. Ens$rethe3l$id6c'gevie&isopenndselectthe=inry

    Coeffst).

    M. EntertheAiIinterctionprmetersssho&nhere7

    J. #electtheAlphai'@Ci'rdio)$tton.

    5. EnternAlphiIQ0.2.

    . Closethe3l$id6c'gevie&.

    L. Ret$rntothesim$ltionenvironment)ypressingthe$eturnto

    (imulation1nvironment)$tton.

    K. Openthestremvie&for6henolA!2O.

    #hatphase;s??????????

    #hatarethecompositions>??????????

    Thefig$resonthefollo&ingpgefig$resMndJsho&thedifference

    )et&eenthet&osetsofinterctionprmeters.Therefore(crem$st)e

    e+ercised&hensim$lting**Eslmostllthedef$ltinterctionprmetersforthectivitycoefficientmodelsin!"#"#refor8*E.

    22

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    ThermodynamicsandHYSYS 23

    3ig.M-singtheef$lt8*Enterction6rmeters.

    3ig.J-singthe3itted**EOptimi1iednterction6rmeters.

    2"

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    24 ThermodynamicsandHYSYS

    E,ercise"

    en?eneGCyclohe,aneG:28%ernary

    This e+mple gin ill$strtes the importnce of hving

    interctionprmetersndlsodisc$ssesho&the$sercno)tin

    prmeters from regression. To ill$strte theprinciples do the

    follo&ing7

    ,. OpenthecseTernry.hsc.

    2. Enterthefollo&ingstremconditionsfor=en1eneACCA!2O7

    Conditions

    Tempert$re 25PC

    6ress$re ,tm

    Composition

    =en1ene 20mole

    !2O 20mole

    CC 0mole

    4owmanyphasesarepresent>??????????

    Toprovidemoreprecisesim$ltionthemissingCCA!2Ointerction

    prmeterhsto)eo)tined.3ort$ntely(somedtisvil)let

    25PCgivingtheli/$id-li/$ide/$ili)ri$m)et&eenCCnd!2O.sing

    thisdt(ndtheregressioncp)ilities&ithin#T*(nAEA

    TechnologyEngineering#oft&reconcept$ldesignnd

    thermodynmicregressionprod$ct(yo$cno)tinne&interction

    prmeters.Thetempert$redependent=iIprmetersreto)eleftt

    0ndthelphiItermisto)esetto0.2fortheCC!2O.Toimplement

    theseprmeters(proceed&iththestepsonthefollo&ingpge.

    2#

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    ThermodynamicsandHYSYS 25

    ,. Ret$rntothe=sisEnvironment)ypressingthe1nter7asis1nvironment)$tton.

    2. Openthe3l$id6c'gevie&ndmovetothe=inryCoeffst).

    M. EnterthedtintheAiImtri+ssho&nhere7

    J. #electtheAlphai'@Ci'rdio)$tton.

    5. EnterCCA!2OlphiIvl$eof0.2.

    . Closethe3l$id6c'gevie&.

    L. Ret$rntothe#im$ltionEnvironment.

    K. Openthestrem=en1eneACCA

    !2O.

    4owmanyphasesarenowpresent>??????????

    #hatarethecompositions>??????????

    Thefig$resonthefollo&ingpgefig$res5ndclerlysho&the

    )ehvio$roftheternrysystem.;itho$ttheregressedCCA!2O

    )inry(thethermodynmicpropertypc'geincorrectlypredictsthe

    systemto)emisci)lethigherCCconcentrtions.Thispredictionis

    correctgivenproperlyregressedCCA!2Oprmeters.

    'eferences

    ,.#chreinem'ers3.A.!.(?.2hys.Chem.M5(J5H,H00.

    2.!illA.E.ndBlisoff;.B.(@.Am.Chem.(oc.

    JK,H2H,K.

    2-

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    26 ThermodynamicsandHYSYS

    3ig.5-;itho$tRegressedCCA!2Onterction6rmeters.

    3ig.-;ithRegressedCC!2Onterction6rmeters.

    2