Lecture 4-Reactor Vessels

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    ^e ;

    >a

    a

    t,tT

    Mjspersem oclw reiatlr

    respl`se tl spjfe j`put

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    Mjspersem+oclw reiatlr perolrki`ae ol

    >.5,miy

    >.>

    >.9

    >.4

    >.1

    >.=

    >.5

    >.?

    >.2

    >.8

    >.:

    9.>

    Oriatjl`rekij`j`b

    ^

    ^

    ^

    ^

    ^

    > 4 = ?

    Tesjme`ae tjke (miys*

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    Mjspersem+oclw reiatlr perolrki`ae ol

    >.5,miy

    >.>>9

    >.>9>

    >.9>>

    9.>>>

    > 4 = ?

    Tesjme`ae tjke (miys*

    Oriatjl`rekij`j`b

    ^e ; > (OK]*

    ^e ; 9

    ^e ; 4

    ^e ; 9>

    ^e ; (^OT*

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    >

    >.5

    9

    9.5

    4

    4.5

    1

    > >.5 9 9

    Mjke`sjl cess tjke# t,tT

    Mjke`sjl`ces

    sal`ae`tritjl`#a,a>

    `;9

    4

    5

    9>

    4>

    =>

    `;

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    ]i`fs+j`+serjes alkpirem tl mjspersem

    Mjspersem oclw ]i`fs+j

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    ]i`fs+j`+serjes wjth exahi`be

    t,tT

    >a

    a

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    95

    Tesjme`ae ]jke Mjstrjdutjl`s

    Re hive see` twl extreke jmeics7

    ^cub Oclw ocujm pirtjaces piss thrlubh i`m ceive reiatlr j` sikeseque`ae j` whjah they e`ter

    Qtjrrem ]i`f Teiatlr ocujm pirtjaces thit e`ter the reiatlr irej`sti`ti`eluscy kjxem thrlubhlut the reiatlr

    Tesjme`ae tjke mjstrjdutjl` + T]M(t* represe`ts the tjke mjooere`toriatjl`s lo ocujm iatuiccy spe`m j` the reiatlr# j.e. the prldidjcjtyme`sjty ou`atjl` olr resjme`ae tjke

    ;

    >

    mt*t(A

    *t(A*t(T]M (olr steimy oclw*

    @lte u`jts + T]M js j` j`verse tjke

    dy meoj`jtjl`7

    ;>

    9mt*t(T]M (j.e.# tltic prldidjcjty ; 9*

    ;>

    M mt*t(T]Mtt ; ojrst klke`t lo T]M ; triaer mete`tjl` tjke

    T]M kith7

    Mjria mecti ou`atjl` (lr u`jt jkpucse ou`atjl`*

    _Y Y

    Keisure myeal`ae`tritjl` itlutcet

    J`geat scub lo myeit j`cet it t;>

    tTT]M

    tTt

    AQ]TT]M ; 9,tT ex +t,tT

    ^cub oclw

    T]M ; (t+tT*

    9

    >.9=>.18

    4tT

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    9?

    Teprese`ts i u`jt kiss al`ae`tritem j`tl j`oj`jtecy skicc spiaeresuctj`b j` i` j`oj`jtecy cirbe al`ae`tritjl`

    (t* ; it t ; ># > it t >

    ; 9mt*t(

    Ai` thj`f lo Mjria mecti ou`atjl` is extreke olrk lo Biussji`

    K>(t+* js spjfe lo kiss K> it tjke ^cub Oclw

    T]M(t* ; (t+tT* wjth jkpcjem u`jts lo t+9

    ;;> >

    T 9mt*tt(mt*t(T]M zerlth klke`t

    @lte clwer cjkjt js > i`m `lt + sj`ae ylu ai`t hive `ebitjveresjme`ae tjke(j.e.# ocujm ceivj`b deolre jt e`terem*

    ;;;>

    T>

    TM

    tmt*tt(tmt*t(T]Mtt ojrst klke`t (kei`* ;

    triaer mete`tjl` tjkeAOQ]T

    T]M(t* ; exp(+t,tT* , tT u`jts lo t+9

    9t

    *>exp(>t

    t

    *t,texp(tmt

    t

    *t,texp(mt*t(T]M

    T

    T

    >T

    TT

    > T

    T

    >

    ;

    ;

    ;

    ;

    ( *

    ( *V [ TT>

    T4

    T

    T

    T> T

    T

    >

    M

    t9>*>exp(>t

    9t,tt9

    *t,texp(

    t

    9mt

    t

    *t,texp(tmt*t(T]Mtt

    ;;

    ;

    ;;

    @lte7 orlk ATA ]idces7 ; *ix(ie

    mxxeix

    ix 94

    Al`trlc _lcuke Klmecs i`m ]jke Qaices olr @ituric Qysteks

    Rhit ire iatuic systeks cjfe< ^cub oclw lr Qtjrrem reiatlr

    Jt mepe`ms upl` the tjke saices7Kjxj`b tjke olr pcub oclw reiatlr js j`oj`jte7 jt `ever kjxesKjxj`b tjke olr stjrrem reiatlr js zerl7 jt kjxes j`sti`ti`eluscy

    Rhe` ire these issukptjl`s reicjstja exp(+ft*

    ]hjs reiatjl` ippcjes tl i`y witer kiss e`terj`b i`m exjtj`b the systek vjew orlk Cibri`bji` perspeatjve (j.e.# olcclwj`b the piraec lowiter*

    Exjt al`ae`tritjl`7Ae ; A> exp(+ft=*

    Al`sjmer i mjooere`t piraec# tifj`b i cl`ber rlute7Exjt al`ae`tritjl` Ae;A> exp(+ft?* where t? 0 t=

    Jo i pcub oclw klmec ippcjes# the exjt al`ae`tritjl` js sjkpce7 icc piraecsexjt it exiatcy ]T

    J` i `ituric systek# jt js `lt peroeat pcub oclw# thereolre cllf it T]MT]M bjves the prldidjcjty thit the ocujm piraec requjres i bjve` iklu`t lo

    tjke tl piss systekL` iveribe7

    mt*ftexp(A*t(T]MA

    >

    >e ;

    It t9 Ae ; A> exp(+ft9*

    It t4 Ae ; A> exp(+ft4*

    t9

    t4

    t1t=

    T]M

    tt9 t4

    t9

    t4

    t1t=t4

    t1t=

    t5t?

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    98

    Tesjme`ae ]jke Mjstrjdutjl` olr Teic Qysteks

    Teic ajraucitjl` his7

    Qhlrt ajraujtj`bMeim zl`es (exacusjl` zl`es*

    T]M orlk triaer stumy pcub oclw lr stjrrem ti`f reiatlr

    Mete`tjl` tjke# ]M

    tM ;

    >

    mt*t(tT]M

    @lte mjstj`atjl` wjth hymriucja resjme`ae tjke# tT ; _,Y

    tM ; tT jo i`m l`cy jo there ire `l exacusjl` zl`es

    _irji`ae lo T]M js i keisure lo kjxj`b

    ;>

    4M

    4 mt*t(T]M*tt(

    Is i mjke`sjl`cess `ukder#

    4

    Mtm

    ;

    Is ># `l kjxj`b# pcub oclwIs # alkpcete kjxj`b# AOQ]T

    YTAJ

    It j`cet

    YTAe

    It lutcet

    Teajraucitjl`

    T]M

    ttM tT

    T]M

    t

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    9:

    Tesjme`ae ]jke Mjstrjdutjl` olr Teic Qysteks

    Tevjew slke al`aepts7

    ]wl klmecs olr kjxj`b^cub oclwQtjrrem reiatlr

    ]jke saices7tT ; _,Y kei` hymriucja resjme`ae tjke (`lkj`ic resjme`ae tjke*tTEIA]JL@ ;9,f (lr olr :5% alkpcete reiatjl` lr reklvic 1,f*tIM_ ; C,u

    Cjkjtitjl`s lo tT j` mesarjdj`b resjme`ae tjkes lo true systeks deaiuse lomeim zl`es# reajraucitjl`# shlrt ajraujtj`b

    Al`sjmer icteritjl` lo the reic systek7

    Imm derks tl al`trlc ajraucitjl`)

    Ceature =.mla

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    Ojbure dy KJ] LAR.

    Imiptem orlk7 Aikp# ]. T. $Qemjke`titjl` i`m the mesjb` lo settcj`b ti`fs.$

    ] tj IQAE 999 (9:=?* 8:5 :1?