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    Temporary Emergency CoolingSystem

    for

    Polystyrene Reactor R205

    By:

    Naveen Krishnan

    oan or!anov

    "!am #$i

    %niversity of llinois at %r&ana Champaign

    'epartment of Chemical Engineering

    C(BE )2* +ro$p )

    "pril 2,- 20*5

    Ta&le of Contents:

    . E/ec$tive S$mmary

    2

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    . Bacgro$n! 2

    . "nalysis ,

    Schematic ,

    1ater an! (eat Transfer ,

    1ater Tans ,Piping an! Pipe Rac )

    alves an! El&o3s )

    4echanical Energy Balance an! Simplifications )

    P$mping an! "fter3ar!s 5

    . Recommen!ation 5

    . "ppen!i/

    E6$ations

    Calc$lations 7

    mages 8

    So$rces *)

    I. Executive Summary:

    This pro9ect entails !esigning an emergency cooling system for R205- a polymeri;ation

    reactor. "fter revie3ing the schematic- cost s$pplement- an! heat transfer information- it 3as

    !etermine! to $se sche!$le )0 3el!e! car&on steel pipe of )in !iameter. The plant sho$l! &$il!

    t3o ,0-000gallon 3ater tans 3ith close pro/imity to R205

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    the tans 3o$l! &e !esignate! as the cool 3ater tan- fille! 3ith 20C 3ater- an! then p$mpe!

    3ith a single centrif$gal p$mp thro$gh a cooling 9acet on R205. The 3armer 3ater 3ill e/it the

    cooling 9acet at )0C an! enter the !esignate! e/it tan. The e/it tan 3o$l! initially &e empty

    an! it 3o$l! receive 3ater that e/its from the cooling 9acet. The 3ater in the e/it tan- in case

    any contaminants mi/e! into it- can &e taen to a 3ater treatment plant via 3ater tan tr$c. "

    tr$c is $se! &eca$se it is cheaper than installing pipes an! piping racs to move the 3ater tothe treatment plant. This plan 3ill &e the most costeffective 3ay to !esign an optim$m

    emergency cooling system for R205 3ith a total cost of @**5-000.

    II. Background:

    The &ac!rop for the pro&lem statement involves the cooling of a polymeri;ation reactor.

    The present system- a 3ater to3er 3hich $ses a press$re hea! to force 3ater into a cooling

    9acet- 3ill &e $n!ergoing maintenance for fo$r months an! the plant 3ill re6$ire a &ac$p

    temporary cooling system in case there is an emergency sh$t!o3n. The sh$t!o3n 3ill nee!

    cooling as the reactor 3ill still have reactions for another thirty min$tes after la$nching sh$t!o3n

    proce!$res. The cooling po3er $s$ally re6$ire! is given to &e *2.544Bt$Ahr an! sho$l! !rop

    !o3n from there !$e to slo3ing reactions !$ring sh$t!o3n- &$t a 3orst case scenario can &e

    ass$me! 3here there 3ill &e a constant nee! for a removal of that energy rate. (eat transfer

    e6$ations 3ill &e $se! to calc$late a mass flo3 rate of a coolant in or!er to meet that cooling

    energy. " given contact area of *5)0ft2 3as also given 3hich 3ill help calc$late a &etter heat

    transfer coefficient an! temperat$re change for the coolant.

    Piping material- length- an! !iameter 3ill &e !etermine! $sing a mechanical energy

    &alance- an! !epen!ing on the system- pipe rac 3ill &e nee!e! to hoist piping in non race!

    areas at @2200A*00ft. ?l! piping an! valve pricing !ata 3as provi!e! per !iameter of pipe an!

    material. " factor of ).8 3ill &e m$ltiplie! &y the pipe costs !$e to inflation an! installation costs.

    Costs of vario$s p$mps 3ere given 3ith a logarithmic f$nction &ase! off material- press$re

    range- an! shaft po3er provi!e!. Costs per !iameter an! material of piping 3ill &e $se! to!etermine the &est !iameter piping for the ne3 system as $sing $niform !iameter 3ill &e easier

    to p$rchase an! install.

    Assumptions:

    Stea!y State the moment the system is activate! The maintenance 3ill &e !one in the s$mmertime 3ith am&ient average

    temperat$re of 25C 1ater !ensity is constant 88DgAm, 1ater viscosity is constant .00*gAms

    III. Analysis:

    Schematic:

    The original !esign . The system 3ill have 2 ne3 3ater tans constr$cte! an! 3ill $se 3ater

    as the coolant &eca$se of its high heat capacity

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    &e nee!e! to s$pport the pipes to the ne3 3ater tans. The 3ater tans are locate! a&o$t *00ft

    east of R205- the closest location 3ith 6$ic access to the pipe racs an!

    also alongsi!e the roa!s. The col! 3ater tan 3ill initially &e the only one fille! 3ith 3ater an! at

    the &ottom- there 3ill &e a p$mp to p$mp it $p to the cooling 9acet. "ss$mptions that the inlet

    an! o$tlet of the cooling 9acet 3ere the same height- no loss 3or nor press$re !rop- an! that

    the cooling 9acet is 3ell mi/e! 3ere ma!e to simplify the energy &alance an! to ignore any$neven !istri&$tion of heat. The 3ater- leaving the 9acet 3armer than it 3ent in- 3ill then have

    eno$gh energy to travel an! fill the secon! 3ater tan.

    Water and Heat Transfer:

    The 3ater 3ill &e store! in a 3ater tan an! &e at 20C. "ltho$gh the am&ient air 3ill &e

    ass$me! to &e 25C- 3ater reg$lates its stea!y state am&ient temperat$re to &e cooler !$e to

    its high heat capacity. Reactor R205 re6$ires *2.544Bt$Ahr to &e maintaine! at itFs

    temperat$re of ,)0GA*7*.*C. The first ass$mption is that the cooling 3ater 3ill &e p$mpe! to

    the 9acet an! p$mpe! o$t 3ith an overall change in temperat$re of 20C an! &e at )0C. t

    sho$l! not e/cee! )0C &eca$se of fo$ling affects. 1ith that given change in temperat$re- a

    no3n heat transfer rate- an! a given constant heat capacity coefficient to &e *D0.81Am2AK 3hich is compara&le to

    real transfer val$es &et3een *50*200 for a heat e/changer 3ith li6$i! interior an! e/terior

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    the pipes 3ill &e o$t!oors an! that car&on steel operates at a press$re higher than PC is

    !etaile! to operate atI sche!$le D0 PC is rate! to 0psig or a&o$t ) &ars 3hereas sche!$le )0

    car&on steel is rate! to &e in the *000,000psig or 70200 &ars !epen!ing on !iameter

    .

    !echanical Energ" #alance and Simplifications:

    t is ass$me! the press$re at the top of the initial col! 3ater tan an! the press$re o$tlet

    of the pipe into the hol!ing e/it tan are * atm . Kinetic energy an!

    potential energy can &e ignore! &eca$se the length of piping of more than 2000ft or 00m 3ill

    ca$se the loss 3or term to &e significantly &igger. The shaft 3or of the p$mp is e6$ivalent to

    the change in press$re times the 3aterFs vol$me flo3 rate. "lso- the loss 3or an! press$re

    !rop in the cooling 9acet is ignore!- an! th$s- the &alance is simplifie! . " pipe !iameter of )in 3as !etermine! to

    &e the &est. 'iameters 2 an! , 3ere also lo3 costs- &$t the po3er ratings 3ere too high for any

    p$mp. P$mps 3ere compare! an! the most cost efficient p$mp 3as the centrif$gal p$mp.

    "ltho$gh it might have $neven flo3 rates compare! to positive !isplacement- this system

    alrea!y overco$nts the flo3 rate &y ass$ming it nee!s a constant flo3 to cool the constant

    *2.544Bt$Ahr- an! the centrif$gal p$mp is a lot cheaper 3ith its lo3er coefficients

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    acco$nt for shipping- ta/- 3ages- an! gas- it comes o$t to &e @,500A3ee 3hich sho$l! &e

    eno$gh to transport all the 3ater to the 3ater treatment &$il!ing . Bac$p generators in the case of a po3er o$tage

    Renting a tr$c for the 3ee the system 3as $se! 3o$l! transport the 3ater to the 3ater

    treatment &$il!ing- an! 3o$l! &e m$ch cheaper than &$il!ing pipes- racs- an! a stronger

    p$mp.

    Total Costs

    %tem &ost '()

    System

    Piping 0-505

    Centrif$gal P$mp 2-D)D

    Pipe Rac *-*00

    1ater tans *2-000

    Total *00-)5,

    er use

    Electricity D.*

    Tr$c rental ,-500

    Total ,-50D.*

    Total Cost !Assuming "use#mo $or %mo& **)-)D5.)

    V. A''endix:

    E*uations:

    *> (eat transfer *: q=mC p T 1here 6 is the heat transfer rate- m is massflo3 rate- Cp is heat capacity- an! T is the change in temperat$re.

    2> (eat Transfer 2: q=UA Tlm 1here % is the heat transfer coefficient- " is the

    contact area- an! Tlm is the log mean temperat$re change given

    ( T2 T1)/ ln( T2/ T1) .

    5

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    ,> 4echanical Energy Balance: P/+g z+ u2/2+Ws/m+ lw=0 1here l3

    is loss 3or of the pipes an! e6$als 2 f(Leq/D)U b2 an! %& is &$l velocity an! ' is !iameter.

    )> Simplifie! Energy Balance: P=(lw)5> Reynol!s N$m&er L UbD /( /) 1here is the fl$i! viscosity

    &alculations:

    *> Total massAvol$me flo3 rate:

    6 L *2.544Bt$Ah L ,,,DD.) As

    Cp L ).*D AgC

    T L 20C

    q=mC p T LM m L ),.D20gAs LM LM ol$me flo3 rate L **.galAs L 20D27galA,0min

    2> (eat Transfer Coefficient:

    6 L ,,,DD.) As" L *5)0 ft2 L *),.7 m2

    'ifference in o$tlet temperat$res: T2 L *7*.****C )0C L *,*.****C L

    *,*.****K

    'ifference in inlet temperat$res: T1 L *7*.****C 20C L *5*.****C L *5*.****K

    Tlm L ( T2 T1)/ ln( T2/ T1) L *)0.D7Kq=UA Tlm LM %L*D0.81Am2AK

    ,> Pipes CostA'iameter

    Pipes L2*702*7'

    'iameter

    'iameter

    E6#ength E6#ength

    Car&on Steel 1el!e!

    @AmeterA'iameter

    Total Cost !(ased

    on )e*&

    Total Cost + in$lation#install

    !,%.-&* 0.025) 2200.7 70.7,2 2. *7),.8D),2 D5)5.52,*D

    2 0.050D 22*7.,,,,,, 75.D),2 )055.0582 *8D8.7800D

    , 0.072 22,) D0.82,2 *0 D08.2,2 ,,,5.2,D

    ) 0.*0* 2250.7 D.00,2 *D *2,)D.057 0505.)D22)

    5 0.*27 227.,,,,,, 8*.0D,2 2* *)5*2.7)72 7***2.)*2D

    0.*52) 22D) 8.*,2 ,0 20DD).D8 *02,,5.880)

    7 0.*77D 2,00.7 70*.2),2 )0 2D0)8.72D *,7)),.72

    D 0.20,2 2,*7.,,,,,, 70.,2,2 50 ,5,*.* *7,0)8.*D)

    )> Pipe #oss 1orPipe #oss 1or ol$me

    'iameter eA' Reynol!Js L 'H%&HpA$ G B$l elocityO%&

    * 0.002 2*82085.2 0.005 D.)7582

    2 0.00* *080)7.D* 0.005 2*.*D8D

    , 0.0007 7,08D.5) 0.00)5 8.0D),

    ) 0.0005 5)D02,.805 0.00)) 5.)0)7)5

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    5 0.000) ),D)*8.*2) 0.00), ,.)580,7

    0.000,,,,,,,,,, ,5,)8.27 0.00)2 2.)02*0

    7 0.0002D57*)2D57 ,*,*5.5*72 0.00)2 *.7)D*)

    D 0.00025 27)0**.8525 0.00)2 *.,5**D

    5> 4echanical Energy Balance

    EB E6$ation )

    Shaft

    1or L

    Press$re

    H ol$me

    Rate

    'iameter

    'iameter

    P$mp

    Press$re

    Shaft

    1or 1hA,0min

    1hA,0min

    70 efficiency

    * 0.025) 2207,8)0 2207,.8) ,200D.57*D 87225*5.02 )D,*.2578 80D7.5**2D

    2 0.050D 205D,7).*

    20.5D,7)

    * D88D.)),*8 27*827,.D58 *,58.,8) *8)2.,,D)D

    , 0.072 7)*250.57

    7).*25057

    *07).D*,)5) ,2)D0*.2*,* *2.)00078 2,2.000DD)

    ) 0.*0* *7,))0.08D

    *7.,))008

    D 25*.522D*)2 700D.)58D* ,D.00)2,02* 5).28*757))

    5 0.*27 5*20.0,*2

    5.*200,*

    2 D*.,D270)52 2)58,.28205 *2.28)*2 *7.5,7,2

    0.*52) 22,)**.5282

    2.2,)**528

    2 ,2.,8)7*7) 87D8.)),D8 ).D8)72,2,, .882)*72

    7 0.*77D *05)25.7,57

    *.05)257,5

    7 *5.2D7,*D )*8.5))DDD 2.,08772), ,.2887)8)7

    D 0.20,2 55)D.,)7,

    0.55)D,)

    7, D.080520, 2),D.)**D77 *.2*82058)D *.7)*7227D,

    > P$mp Cost %sing mage 7

    um'

    Cost

    ' Bar

    Recip

    Gp

    Pos 'is

    Gp

    Centrif

    Gp 1 Recip Cp

    Cost

    Total Pos 'is Cp

    Cost

    Total Centrif Cp

    Cost

    Total

    *

    2207,.8

    ) * * *

    8722.5*5

    02

    ,005,)58,.

    D

    2**8D50

    D** 5,0*0D7D.75

    ,)D88*D

    *8.2

    *08,2.050

    D*

    7)5)0.*D

    D)

    2

    20.5D,7

    )* * * *

    27*8.27,D

    58 2)78005.DD

    *7)D58*

    5.D7 ),,)50.,0*8

    2D5,57

    .7*7

    5D).*,7

    5

    ,D70.5,

    DD

    ,

    7).*250

    57

    *.55,)

    85*D2

    *.55,)85

    *D2

    2.*D0)

    ,*702

    ,2).D0*2*

    ,*

    27*087.5,2

    D

    2)7)

    .08 52D78.8,0)7

    ))))5.

    0*8

    )*7.785*

    72

    )5D.0

    807

    )*7.,))0

    08D*.*,)*,,77D

    *.*,)*,,77D

    *.2,8D8)*,

    7.00D)58D*

    7D5.*5DD

    58))85.)52 *7,7.*775

    *22002.)70*

    ,502.D2D02

    2D)7.)52

    5

    5.*200

    ,*2 * * *

    2).58,282

    05

    ,508,.D0**

    ,

    2)75,7.

    ,5 D770.)D)*

    577,8.5

    0,25

    ,**5.2D8)*

    )

    2*2)*.0

    0D7

    2.2,)**5

    282 * * *

    8.7D8)),

    D8

    2008.,D),

    5

    *)*5*.

    )08) 5)8.)55

    ,7*82.

    ,*82

    2D.D2D2

    *2

    *85)7.)

    D*7

    7

    *.05)257

    ,57 * * *

    ).*85))D

    DD

    *,00.D55D

    8

    858,).8

    8707 )28.08DDD

    2D*05.*

    D5)8

    270*.58

    D8

    *D)20.,

    )52

    D 0.55)D * * * 2.),D)**D *02,D.7,8 722*8.8 ,555.5**5 2,)07. 25D,.7DD *7*7.)2

    7

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    ,)7, 77 8)5 D*,D 5 D0*

    %mages+&harts:

    mage *: ?riginal Plant #ayo$t

    D

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    mage 2: Recommen!e! System *

    8

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    mage ,: Recommen!e! System 2 Ohot 3ater tan L e/it tan

    mage ): Pipe Gittings #e6A'

    *0

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    mage 5: Griction Gactor Chart

    **

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    mage : Pipe Pricing

    *2

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    mage 7: E6$ations an! Charts for total P$mp Price

    *,

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    mage D: Cost of Piping an! P$mp per 'iameter

    Sources:

    *> 1ater 'ata:

    http:AA333.engineeringtool&o/.comA3aterthermalproperties!Q*2.html

    2> Realistic (eat Transfer Coefficient: http:AA333.engineeringtool&o/.comAheattransfercoefficientse/changers!Q)50.html

    ,> 1ater Tan:

    http:AA333.ali&a&a.comApro!$ct!etailATop6$alitypop$lar20000gallon

    3aterQ0*78*)D2),.html

    )> Car&on Steel Piping Press$re Rating:

    http:AA333.engineeringtool&o/.comAa*0car&onsteelpipes!Q,70.html

    5> P$mp Priority:

    *)

    http://www.engineeringtoolbox.com/water-thermal-properties-d_162.htmlhttp://www.engineeringtoolbox.com/heat-transfer-coefficients-exchangers-d_450.htmlhttp://www.engineeringtoolbox.com/heat-transfer-coefficients-exchangers-d_450.htmlhttp://www.alibaba.com/product-detail/Top-quality-popular-20000-gallon-water_60179148243.htmlhttp://www.alibaba.com/product-detail/Top-quality-popular-20000-gallon-water_60179148243.htmlhttp://www.engineeringtoolbox.com/a106-carbon-steel-pipes-d_370.htmlhttp://www.engineeringtoolbox.com/heat-transfer-coefficients-exchangers-d_450.htmlhttp://www.engineeringtoolbox.com/heat-transfer-coefficients-exchangers-d_450.htmlhttp://www.alibaba.com/product-detail/Top-quality-popular-20000-gallon-water_60179148243.htmlhttp://www.alibaba.com/product-detail/Top-quality-popular-20000-gallon-water_60179148243.htmlhttp://www.engineeringtoolbox.com/a106-carbon-steel-pipes-d_370.htmlhttp://www.engineeringtoolbox.com/water-thermal-properties-d_162.html
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    http:AA333.&lacmersmartenergy.comAcomparative!ataAcentrif$galp$mpsvspositive

    !isplacementp$mps.html

    > Tr$c Rental:

    http:AA333.machinerytra!er.comAlistings!etailA!etail.asp/?('L*050,),,

    7> Electricity Cost:

    http:AA333.eia.govAelectricityAmonthlyAepmQta&leQgrapher.cfmtLepmtQ5QQa

    *5

    http://www.blackmersmartenergy.com/comparativedata/centrifugal-pumps-vs-positive-displacement-pumps.htmlhttp://www.blackmersmartenergy.com/comparativedata/centrifugal-pumps-vs-positive-displacement-pumps.htmlhttp://www.machinerytrader.com/listingsdetail/detail.aspx?OHID=10503433http://www.eia.gov/electricity/monthly/epm_table_grapher.cfm?t=epmt_5_6_ahttp://www.blackmersmartenergy.com/comparativedata/centrifugal-pumps-vs-positive-displacement-pumps.htmlhttp://www.blackmersmartenergy.com/comparativedata/centrifugal-pumps-vs-positive-displacement-pumps.htmlhttp://www.machinerytrader.com/listingsdetail/detail.aspx?OHID=10503433http://www.eia.gov/electricity/monthly/epm_table_grapher.cfm?t=epmt_5_6_a