ML20101M520

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Head Loss in Bwst to Makeup Pump Flow
ML20101M520
Person / Time
Site: Crystal River Duke Energy icon.png
Issue date: 01/05/1996
From: Harrison D
MPR ASSOCIATES, INC.
To:
Shared Package
ML20101M505 List:
References
102075DHH02, 102075DHH02-R00, 102075DHH2, 102075DHH2-R, NUDOCS 9604050428
Download: ML20101M520 (41)


Text

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                      'ilu purpou ci ffa ultula% is k gemsb. % loss th khl i                 luo d &< Hu 'Clow Acm Ha t?w6r k Ha point e le.tL
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3, 7'" l T = 100y

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_ _ = _ - - - HA {. , Y - elev = 120.5 4 - 1 i

                                                                                                    =0 Q, = 'l !?/ gpm m

i i V e l4fspE (200 6i.'P'P'run )41(r/: ies. 4a. 5, dx; [ . .- p 1 (, clev = 4to45-l s v jy, g,g p 7M h/S00/F" to. kc '6 (MopsuaioQ x Qt = 13fl + /5 05 = 3d f / 7pm

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4. Ricnou /%croAL Tin (m%1 Ackr Gr Ha fickon loss in Ha tdl/ be hased on Hu. ba wl* lW'bh I""""9) A'"*p,pe l'-
                          ~bg                           dr luo) loss
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320 King Street Alexandria, VA 22314 Calculation No. Prepared By Checked By

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6 is nu sbsstu b ivuy isus t s, 4 Mr tommnics/, irtw 6/a/ptpc & i;, issuaHe, Ygiu. l cs 0.000/5 4 (44nuw : ,ud .y ) i t bl f, b1C$G14 (CWktL V Y

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320 King Street, Alexandria, VA 22314 Cale: 102075DHH02 Preparer://///sv~gW Checker: M/d Print page 1 (q f DETERMINATION OF FRICTION FACTORS The dynamic viscosity of water at 100F and approximately atmospheric pressure: p := 142.010 4 .lbf ** Ref. 8: ASME Steam Tables (1967), Table 10, page 28010-20 psia,100F A' The density of water at 100F and approximately atmospheric pressure: Ref. 8: ASME Steam Tables (1967), Table 3, page 131,15 psia,100F p:= 0.01613 3g The Idnematic viscosityis then: v := E- v = 7.36910 - p see The absolute roughness will be assumed to be that for commercial steel pipe. Since the piping is stainless steel, ) there should be little change in serivce. The value is the one normally identified with the Moody curve (see Streeter 1 1 2nd ed.. Reference 4, page 183, for example) e := 0.00015 A The friction factor, f, is determined from the Colebrook equation (see Reference 4, Streeter,2nd ed. page 179).

                            .I_m.0.86 in         +

[f (D 3.7 Nrdfj where, D is the pipe diameter, ft Nris Reynolds Number 14-inch nominal oloe: Q y ,9.9g4,,A-i D := 1.1042 A Q := 4291 y, Sal Nr := Nr = 1.496 10' i en 92 see v x-  : ! 4 J 1 Guess value g := 0.01 f:= root 0.86 in

                                                                                   +
                                                                                          1,g                f =0.01384
 .                                                               (         (D3.7 Nr h)      hj 1

6-inch nominal oloe

 '                    D := 0.5054 A 8"I       V:=     O    V = 6.664 - -       Nr :=      Nr = 4.57 10 8

Q := 600 en D 2 sec v x-Guess value g := 0.01 f:= root -0.86 In

                                                                                   +
                                                                                          1                  f =0.01667

( (D 3.7 Nr h[ h ,gj O i i Mathcad PLUS 6.0 PIPEDP.MCD 3:38 PM on 01/03/96

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320 King Street

  -                                                             Alexandria, VA 22314 Calculation No.          Prepared By             Checked By
    /O:Ot!*DHU02-             /   kg/w a                -13/>J

[, douMo/L)E7J7* LOSS doEff/C/E717'S

                'fi4is Secb'oin deVctopS Nu $pto'I         hcoc/ lo$6 totSc/d0ls for thc dompow1/S in Htt Stysicm etclusisc $ iks St>ca'<jM pipc. itloft Htat Ihac coe{&&n/s iutospors b Hu.

fichau. lossa as port c; Ha fofo/ loss; causcpaut(9, ' 0 is nof luassory h /velus Hu leq.gM oj Hu floo) paHi iv> Ha Sichon loss didnm'noncu. In e tudde,puuva

                         & sed teAnuas/, Nu as simp Gnu (6/t Anuuwthods) pic     or/bibd as<d' iii cuch iGr comnou eowpowds such as ellone, 4//y op:s-sd pa in s, o n / Saa'dc e & p tes t d 'ost s    fs~ e 'h'u
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                          /Jol'c     Heaf bo/h /6/ aucl $ t/boh's bsic W :/af; har l'/- m           *
                                 -f7 = .0/5         so    K = t'/ x . o t? = OM b-m         {T   ~
                                         .0!S             K - / </s.0 /S = 0. 2/o
              </5
                             /( = [Y)-/ ) [0.25 rrh G +0.fK) + K w/> eo e   n = trum6er e>/ fo %bds =        f/z.

r/d = /. S on d K = /'//r*

                               /( = (l-/)(0.lin{7 /.b~
  • 6.l /Vfr ) + /Y{T
                               /( =      '{ (/, /78/[7 + 7(7) + /Y(7-   =

9 9/ (-

                    /</-10      /( = 9 9/, *' . 0/3 =      Of9                                  !

(, -in K = 9 9/ r . oir = 0.199 So of/ar MkW/4CC CoVVelf MM e/$o 4045p// col for t/ bold lD$$dS*

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p{ //o (6 Ares < cl io) aud /hi//cr &4wuen 3) itsa//is, rapes.loss

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        /ozo7tbiwo2-             hlw               -              wad Ik (t!<4reua t's ) p><wds a com/o% far Hu Malpussinc loss ik a smooth bend, kg, as (/n. We ( rf )* > ft.

lQ = 0.002y / cc 9(Nj#f)## i kk ot a w.1oYou f $4o/ depeech on Goed !2/r. 9: bend au9 cI , 4r dcenes. A/,, = teey no /di hv m ier ff = ndias i,/ cown/:n; ej & den d. y = iissah endwe ejfh p ,hc.

                   ~
                  /or     /on g iso <u s cliwev.s           e = /,5.:r     n. Aq = 3. 6

(} ' Av 0 c Yo

  • ac = 0 9 5 " i7,2 ( 9,.) ~^%

fn 8=Y.5 cc - / + /Y.:(se/,.) i.o

                   /4 dc%c //.e /sto/ loss cae(Sciceiss 4//ows k'= ' =L.L tv/ure { f' : 6 4/ lacd l'ss k,,

j , No's e<pnssian n evo/uaf.ed 14e & 6ys/o/ //ner

                  /V ou/ 4 iceA p&se en                        IV           psjuy /keJdtod.

Je com/rored /o & drosu (psgc/d 2.).

                 /%A 90 ' , //o            X=      0, / VB      }$7a,o./VE-          n,,9 desou        K=     0,i9 z       )         0 '!2 V5'    Ho          K=     o.o93          s y,, = o_.gf ,    ,,,2 D-osu       /(:     O, 12 9               0./29 do Ar Ha iVin pQc No k cor></o A'cu 9/Ves loutr lc by k -2f pec u nd
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          /0207[bHHO2                   6 v < ~        O/1)

Jim,hrly 6 d-miA p>Ne , 90 ' /k  % = 0,/75 f 7,;= p,93 Crasu K = 0.2/O

                        'f5" /4 K: O. N'/           4Ao=0.7y Gow K = o. iv 9 do 6 4 mc.b piju /h's eonclad'rH Qiks low' k by about 20pesuus'.

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e MPR Associates,Inc. Page /Y 320 King Street, Alexandria, VA 22314 a Preparer:[L . /Mm Checker. -/M/d (q) Calc 102075DHH02 EVALUATION OF ITO'S EXPRESSION FOR ELBOW HEAD LOSS Printpage 1 This is an evaluation of the following expression from Reference 10: k(a,0,NR,R t ):= r 0.00241 a 0 R N ' ' -(Rr) For al ebows the radius ratiois: R , := 3.0 (This is a R/D of 1.5 for long radius elbows.) For 14 inch nominaloloe NR := 1.49610' 90 Degree bend: 0 := 90 I# a := 0.95 + 17.2 R / k t(a,0,NR R )r=0.143 45 Degree bend 0 := 45 a := 1 + 14.2 R[Id7 k t(a,0,NR,R ,) = 0.093 For 6 inch nominal oloe s NR := 4.57.lo 90 Degree bend: 0 := 90 1 96 a := 0.95 + 17.2 R J k(a,0,NR,R ,) = 0.175 t 45 Degree bend 0 := 45 a := 1 + 14.2 R[3d7 k(a,0,NR,R t ,) = 0.114 O I Mathcad PLUS 6.0 ITOELBO.MCD 3:44 PM on 01/03/96 i

MPR Associetes, Inc. 320 King Street Alexandria, VA 22314 Calculation No. Checked By U Prepare,d By Page /j~ l

               /02075bHWO2                                   wnn                                  O LJ
                      /h,'//ce {/adecu c_<.                J        , p fo ) s'n Ef. (Y/ p>vvi&s e of dend loss Cat 49eduf ss et Amt A'en y rN sool & dead cupk 4, a A nolds          y           numJee g /b.

180 , j ,,,, ,p,, ,,, , ,

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0.4 0.24 .24 150 _ 0.8; 0.18 _. 1.0 0.6 0.3 0.20 q 0.20 l N NN s

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N 30

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NN ' 50 ' ' d} / a O W 0 *H 30

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x _ Ks = 0.02 10 0.5 i N ii i i e i i \iii { 1 2 3 4 6 8 10 t I

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Fig. 5.41. Bend performance chart - circular cross-section (Re = 10 6) Se Au coucNeus A's = o. t es Kyg = 0.oer Tuse va ha b nn lotver +hou obfadud by flu 6ow (4t* z ) iwMod ( (ve a// 4 ru*th r/ bows ou d

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         /02076b////02.                                  A//Artr ~                    Wh](J g*     7cc s.
                   /4x/f_y4 (khetu.+, Ge (ri) (bras.et, ,ci w )

l mi//er (&& epa kCA.13) providc6 a nuMoa h 9d Ma pressurt chau.p t strem a 4c, tnM Ooa> out a rebu d Sigt brauct, The arrouginu>:t . 4 ss show ti, Hu sb hh.  ;, ._, __,_ 0 / h't; Mo 5lcvt .lb.t inton VUlPtihl$ 15, //V l)>oVtbt 4. Q $ p B o 4r , P h '/ /c r c'e 4 s u s a loss c<reffcasA y /fg ,, ss k//ou.5 i .. [ l

                                                                                                                  .[o t                Mi srlus c hiol N = 2 + Y + $

l'$ '$ and f r i+ $ f><) 2 N ., 3 {,L 2- ) \ / , $f ~ l

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f hi i t N, / .:*=-

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                        ,4Na. Ao  # $4:

D3 /y in pjpz = 5 00 -Sk01375" /3..*-[0ir! " /. IC Y 2 A.

                                   =

Oy (o i>, ,coja c = 6.6 Ef- 2 x 0 2to = L.06Cira ~ 0. Colvi G o.2ogn 4 = (o/ / 0con:{ 4 2. = /.um)' : i VLOW b T/o :- ki

  • boC ff!+1 &3 = 92fl fpp+1 1 Qi -
                                     % . 40oy2,,,=0,1397
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                                                                                                      '***'7 Nung % sc Vs/w s                                                                             l Kom       ng 13.2/ of /6 decucc 3 (kl A &Ilowntgpap K,, = /. 2 l

I R .,i,, ll~ a run >, l}, i.e esi. ;,d S  :.'<.n' An, 6 -4, _1 -2 -z i Np } f3/ N1'

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3

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c te

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ly - k j a2 _. u, )

                                         = l(,' .:% ' (

e 9 9/ 7/u fvfor hco/ of / a u d.'  ? l H = T , + 2 + Rl N=23+b+UEs 3 e n 3 i e: < ou //, = 4, + ti? Ns = A, + h 9 -s so & fata l /u o d at ! [hott het ths nov/J 1,o1is /ks nuournd Vahu,in</outy 1/a cppesuf Wfia effe) Iteo sm, ~ ?ob ] L H;-II, = As + "e' -k -u? = %-i, ) + ( ?s* *ln ) n

                   $ ~N/ * $                                     4
                                                                            +fN n                                                 -

5 31 1 9 21 t$ 2 0 kh15 >)

,p            do<      ll3 - N, = kg, bl = i,2 [9'ff?= i,ggy 4

, u z3 f. ;g,2 ==

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A 0,21T2- ,- ,T,,-/-/ ,s

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Ul 9tr g,y

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0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 Flow ratio. Q,/03 Fig.13.21'. Dividing flow: branch angle 90, loss coefficient Ko (v/

MPR Aesociates, Inc. 320 King Street Alexandria, VA 22314 Calculation No. Prepared By Checked By lo2075bl/Ho2 Jh&,iu_ -by " ** I 9

                  /VF /Vr /0 /$es/uc/R c; N d               f7/a h flow in Me run besu ele or ly. (o// /4'tu )

k sin g }'hi //cr (r:/ J

                                                                      , t ;7 /!.: 3 ) Acc d>//civiu g fay.
                          $' r    o (iis //c ca id Arn.e A ]

G, -6:'/Th90 l

                               #3                                                           '
                                    * ( "ls + d, ) -(4,l9 l
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      \

G '- 1

3. /12 ? sh oto c [: 0. O'l cdra. 4, = 4 : (no bro ub Clo w ) 1 f32 " Ils - Is t
                                                            )

d,- k =k;,N - 2, v y3)3-l fonyso c h /Ai &ik letc r.!ciu., f. = l.6 ?53 4. .'h /.loyi li

0. o/3F W A 1533 - o,ot3

[DI := /,loV2

                       'liu fvitho>1 loss slow is eormwho f less, so use IOO,o'/

i 6172) ll06, flu Valalik $VoMko/ 20{ tvou/J'gitc 2010.O/3f(f: C.27? 'p houar Hof ib /$r A./2t)se //inoo! A/h'uy , sjef om M% A lNJ frno o //t inkn.5. // /s hof c;ytnif ob}&r d 7%'s ease. l l

MPR Associates, Inc. 320 King Street Alexandria, VA 22314

          Calculation No.                     repared By                        Checked By
                                                                                                            "** A U IO2076bWI402                     / :/kv,, , ,.       ~                 ~/?)tJ (dots MILLffl, b kttMC4 5, (2Ag C 0lV h

0.5 3 ---*- . 0.4 45-90* 0.3 0.2 0.1 - f

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(O o.ov-* , 0 y-\_ j -

                    -0.1 -

, 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 Flow ratio. Qi/ 03 Fig.13.23. Dividing flow: branch angfes of 45-90*, loss coefficient Kn i I

MPR Associates, Inc. 320 King Street Alexandria, VA 22314 Calculation No. Prepared By Checked By

     /0207foW/02.                 ha            ~            /MJ dJdy_A 169            (I" )

f/ou in nin suc/ so/ 6routi t, no /kough tuu !/ow. I li:. w //u w 1f.oci in . 9,' , . u,

               /?it/k < ( 6 f 3 )                                                          ,

p 5o9' / 59 /?.2 / Re pagc /t l A, = /. o y Q, - /. O Uo Eg , = /. / 5 .

                       /Gi - [::+[3)-[b'+[,)          y          4=k              i
                                            !f_

2 I s,

                                              ~

s 2 ka - I T

l. / ? b3 e
=

MPR Associates, Inc. 320 King Street w Alexandria, VA 22314 Calculation No. Prepared By Checked By

                  /C207601/U02                              / \ </ A /n r ~        0b(N                              _

i j d v fx (o Nt f73) 4 l flow in tion bra u ch on 19 l ,4c if, //a /WIVx/O ke, lh E9 /123 in }Wiler l& & g/us a K g o. oY t % A 1 h fier>r /oss in //:.t. run bs A johse hould k ' L = 0 934 7 4 D = 0.FoEYE 4 l= 0. 0 /4 4 ' so t 0.0/$'sW 0-l?O _ 9, g,:;n'g .so on/q au all dolo!Y; f&m lo s s, a s w> vid go yy be ueecJed s K = _0.04

                            ~$K,$W l/ blWrik ,4 - S L [74'b floto is [h tv u s,l1 UL tu n.                  ln ff o 's tesc Hu Arm losses tvould hof }c h//y Na/ip/ om6'/ of4r & conpowkff Jyonesse, ho//ej Hu dr&d he /ou w'// de usul,
                                                              }( = 6. 0 2
.                                                                                                                       l 0

O l

          +

3 MPR Associates, Inc. , 320 King Street Alexandria, VA 22314 V Calculation No. Prepared By Checked By

       /0:07504//O2                   fe m                   -f0Q                      O3
d. Gsre VAwes i

lo i>hh - (uuv-St, puv-f.z, uuv4 5) 7~hese pd Vo/t cc M// Ac. ecmph klet cren. The o'esuiu 7

                 !a- Inw-52 des no f chow sny +cheNon et srer h w u .; /r H.e Vs/sc.

l

                    &anc (12c,c 2                , p it-:7 ) te com me < <4 E= ff, i+/are (7 co nu s S om a vs i/< .>, p x-u, ad 6 4:., n, n .'- /

p)>e n , os5, so yc . o/Sx ? 0 1 v er K =

o. i2 i

O

3 MPR Associates, Inc. 320 King Street Alexandria, VA 22314 O Calculation No. Prepared By Checked By

        /02076bHll02.                l(nw.,,               -{?bt>J
e. @/EcK VM f/6 biuh /MOV ( 6-on e loin Sa 14 clas>, scuing clack )

deartc [6f 2 , p t]-27 ) gnes s. /f ps/ac e Sr Me comlikon wAm Hu drsk 4 &/ly /,A/.j Sof

                        /Gr Mis ca se, a s 4r & ps b. Vo hs , {, tur// se hkeu dom w fa th ou p x-x , id. (7 e .otr so
                                ,g = fo<.oir = o.71 fnic vo/w is eenet/ on/ii // Hu Vs/u // /u//if opt 8.

pd In E/V!/ NP 5V?9 (/k & ) octual kidas sx ei&H fJr 6 to - 6 oo /s c%>u vs/cc '/&ai show 1/ And not 5 'i.- of)ln unb'/ //u idloth , nd.k toldVnOr, tc.atli: // E d.:< .' douk9tunf4,f Adult-do of etely (o '7 4/su tvill hot be 4//y open. /n Nr.* ~' so s e :% Mys/tu & HI &//y optx t ele c M// be ho /ow, since &7web //ty oper, dieA W// tr4d the w //u:.a s/><ssu . n b

T

 , I,      ..
     '                                                                   MPR Associates, Inc.

320 King Street Alexandria, VA 22314 g

   'y/           Calculation No.             Prepared By           Checked By
              /02075bild C2.             khs, tao                 -t%                    Page g "c-Som /es/ ol (c.o on avoo'Is ble i, Ac41eiro- la

[t't2 l alp-S</79, /Jppeac/& D , pn Hre coid' ivoler

                                  . ,d>ecwie />vp 1haour/r 4 coincn6ints/ fois< swa7 elud pa/ve s/ Vonolis o'reA sup~les.
                        'ilu Hvh c tvw a.1%une lo 500 /4 Vobe 7/u va/p.c ik Crysto/ 6s&., a s 6a:a (, - Boo /b en/cc. igyko;<.g/,                           ,
                        /kc a/tt6 sic not MtnNeo/, //wie Jehnor c4ould Jc ctim '/<,r.

IiMdC fr?o/ve A Y $ce f/){/h f/nll t itM$ krlltj of(;f tvAcn l

                                   //u </isA ha d eaning :A., 7s *.and /Ad >'/}is r4,t/c,,

sp> en ronddon tua s e % fu.et , ii., chi / Jr 1.6 to -sy a./u., \ pelo u V7 pa v.pc. Ric comspm/., A itu a'sa a l.'</ m 0 G 3-Y irh<c4 :A ow.s

                          //y/h d s/ shout m rnu &do.-i yf&Pa u

(nu

                                                                    ~ y 4/s c< i.' ,loc  aik ttvu 4//y ist Ma point (/O-ti f/se-) & porssuic c/>vp sc<wss ffa palus (Sn680*t~sCv)&w o. Cp.ei. /]t //u esnu. n./.oa}, s pn esuie daip6L               is;3oo t % 'rG tialet ovpe>kc/ u                   ,
                           //f;-5"79 op issenRo//y & conu - of,cu .                                     {

t

                        // Mll be a4svnuel /kaf /he l'rois c d-300 su.aue cluele                        '

vaha hetw:s //u tonu as r% /4a'-% 4-Eso cw,.e;-clack nptoli/ tu Aptt cua% .b o/ A/P-GY7'i. 7/u &% / upe>r  ; 9 gdes {s ffu / achQ Va/d: (

                                 // euwe (Ar,,D-7) 6} dsk o"t le es s AueNcv L.                        l
                                  //ow veloc.<fy .                                                     i
                               ' A cutyc (N     f /)-li) f
                                                            //oto d.odf%'cuu/ 6$ e butb esk ough.

(Sec /u 16//otolus pspes. .)

        ,             /H Hu ie4reyc.e celacdye.d 4 7 '/s<e i>> f/u din p.piu 3 -

l /kL OSk' 0Mtjk bok< fE ttn d-7 km.!// be b0* u i 'l I

           .,                                                                                                    i MPR Associates, Inc.

320 King Street

       .                                                                                    Alexandria, VA 22314 Calculation No.                     Prepared By                      Checked By
            /0207601lll02-                   l Nnsv>                              $4 LJ p?ou EPAZ //P-547f Ashtw b DISK POSITION vs FLOW RATE Bustw rut, 204 7, . _ THEORETICAL                                  gg a y,, , yoj, g,,
                                                    }          f          .

m

                       )        60

(. .?

                     $,         ..               1 O                '                       I i

k so -

                                             /

l 2. 10

                                          /,
                                       /

0 0 4 3 12 16 20 24 Tiow YeleoUy,fpe BASELINE TEST RESULTS FOR 6" SWING CHECK VALVE FIGURE D-7 /- _

l l

   -
  • MPR Associates, Inc.

320 King Street Alexandria, VA 22314 Calculation No. Prepared By Checked By j?dW ** EI

             /0:0750HND2.                   /hks./Nen Fnou E1427 A/P- 6979                  frGnua f.

VALVE FLOW COEFFICIENT vs. STOP ANGLE 8 Inch Sudng Check Test Yalve 1.6 1.4 e 1.s 4 1.8

                                                                                                /

n a -fgd - e. <

     >   .                  1.1                                                   7 1
                                                             ,  / 66 2

0.8 - r

                                         '                                    t f                                                                       -

0.8 !? 44 48 68 66 60 64 68 40

                                          .                Duk stav Anale. Dee.

Cy TEST RESULTS FOR 6* SWING CHECK VALVE FIGURE D-17 l

                                                                                 ~.       - -.

t

       ~*
1. ..

MPR Associates, Inc. l 1 MMPR 320 King Street Alexandria, VA 22314

                                                                                                 \

Calculation No. Prepared By Checked By ' 1020Mblol02. / eswr~ Old yse dy it,, %f c/.rk t suy!< Aou< K /)-17 /e 9 /igo 2 0 1

                          & oud K on .n/aud by % Allotuiu9 apressiah (6a>u, def' 2, p 7-+')

K'= 29/ d # "l" " I ' '# '' "

  • G (iv), d = 4','b' o45 in \

Il

                    ~

g = MI (4.045) - 9,9jjf

                                          // fro
  • 1 I

ie i 11w is sla qMi h 'nla r firsu Hte o. 75 ps/tu obtaiwc/ tosin ' dv' an e- [yA l 2) Hhit.h ne m uanda/

                         ,                                            1 50 9 l                     fu    pse    K = 0 9/2     _

!O

MPR Associates, Inc. f 320 King Street Alexandria, VA 22314 Calculation No. Prepared By Checked By lo:076DHil02. $lyw m 0A l>J 4. Aow6 losriis no Guswn.>r /oemncenov l Tivs secf'on +obulahs Hu tomps>nin/s anal /cu7Hr of shalph/ pipe fom w t&tv6rouHd to He-in lo s motu,,a tiek. fe/' drowt Pl4or-Hfit(off

               . i9wir Alo$st.e. y                                                                             \   'm! "
               . pi - t3wsr- r erw                       :
                                                                                                                  '1 L = 7 ' 7j  - 2 / " =               769y -i.7co - s'syv 6.                      -
  • GI- 90eisoui
               . pga 90 eis~ h~               tee na,-

(_ = 7 'L -al" - ' f3 3 = -

v. Soo - i. 7co - o. 7<7 - 9. tn n.
                                                                             .>                                                     i o

7/a. - Tee !!un IVelblo dad. 7ec ~i

i. l 3
                                                                                                      ~ " t'*D' %

P2b - fee helbo ,, , ,) .. ~} ' L q7 _ g , ,_ , ,^,5 'o " er i,. = 24. 4 2 7S-: Si, Il,, '&< 2.f G ~~f 1 ft 8 l. e L = %. !.I'is l_ = 24.l.E?C-2.1.f?5- o. 9ic ? .ri t9 .3 ~.} T c

                                                                                     -l         +            a

[_- gg yp , t <'g'b \ E -

                                                                                                         '   Ger.' c 84 '3

_, ,gg u.un t- 4 E2 - dhowYS *

                     ~

4

                   . pg -o niesivu . cisnn heitow                               , .-

1.5 g e 2./ .. 4 ( i E =k tz.r

  • RI" '
                                                                          / k <j
                                                                       - }Tf- l, g       .7i tau :2.r = ?.si?iu e = o,725 n. -                                    L kn,J.awip.

t / L = 3'9%r - 2F = 3.101  ? ' 0 7 z r " t.3 52 4. - o O /101t.: Alpo'ug ord torypow11 Itm1 wnbtvs are erlihnrg Assi e>, & drowiap W<i sic n/o&/ h :reda, tdcnkMe%pwn/S, num/<rs a % Ad 6siviup, i.c, @ th.

I

          ,                                                                                                               l
      .                                                                                  MPR Associates, Inc.            I 320 King Street                  !
     ,. m                                                                                Alexandria, VA 22314            )

Calculation No. Prepared By Checked By 1020751)llH 02 (y n lA(4 50

                                                            ,                                                             \

A)ot c/co< ide&< //are is a s Aort run ofp,)>c Jehrun m. I e/bou oxd W fee. t\ s l

                                                           ' ,; i, - .k rce                                              !

t---1 l

                   /d'4 /
  • ou 5 /' */ ' W ,} q I i_._ ii G = 0 72f'G 7

o s y. d G cA,~,w

                              ' 7 3/"

I l tf / y - E' = // &> c te no p pe

                           /. L4'l - 0,7:5 = 0.fEl ,0                          Il
  • O.fi7 A -(nop,pc)
  • 7/ - i yx ivx 4 dd 7, e l
              *     ,Ph! ~ [ Tec /v 90 t'tho cu )                           IS                    g g,y, g , f s bud L = 5 o g - 9'- o.7 E/4                       .,                    p           (km ?fo) le L        -*l L = 50521- o.7to -o.7tt                                       r'         k
                                                                            }       5'of' L = BMLf' E4 - fo'e/how f6 - Verf. run ebw-t/ bon                                          J                            #

1 h hawfun is nol chor on //iejos *ou o/ 9] D l3

                    % Iru$ oFo/ p p . 6. u se etevo s us.                                    'gro
                      ~
                                                /8 'gl ee M                                              , ('* S ~K EN 1

t1ur< is a. vn/su 4 beniujjAowrue,%hoMNo/W *!g',,'.) _.h L

                                                                                                                 ~I!'408
                  <,-wn, ,, o              ,u.aaw, u ij' g ig.tst f         - so rewi/ &cis                          ,YL - gg' g 45"
                                                              ' ' ' ' 'I' M #                               echt,,513f L = l2. 6 29 - P      2 , = /7. is! 4 v r~     . = - -

O

  • GS 90'e/ho w
  • G Sa. ' M c/h oes 3

MPR Associates, Inc. 320 King Street

  -                                                                              Alexandria, VA 22314 Calculation No.                    repared By                     Checked By 102026l)lill 02.                      bbt./.mn                       -t!8J
  • pf, - ebw 4 t/ bow di-otuiu /5 froCltoG /Atit Af(>cw h be ybw d'tutit$icus '  ;

howcew, j) 411ot eu'dtul telulhv May su h Ha suohh. pint i ij & t/T'emw or m wc/ s'u % sMgH ,ospe . I i

                       ~       aj ' q "        == l G, 4
                          ,                 Ab. /             -

q"S'n 45* j

                                                /         .
                                                     ;  l ' dir<>

9" k 15' i f Y f hSV( ) ~ $ca Y[ = lA.7$tn YklM b'M1/R$ltf>f /'S lD V-l/cl

                                                               =   J2 72 Vin - So d.'m/tisicy 15 h ncIci Lr 't ,y - 9 ,, = 3. 523 4.                                                                   i q

e E 6 - 90 e/ boca l

  • p7- elbow e/ bout l tera w ci L = 9.o - 2x9hz = 7.6oo 4 1

G 7 e/ bow __ _

                                                                "~                '         ** g' "'J'  *. rs,a; inu tt- St - 4 " Go ta voin                    ( +/-47 )                        T v a% y R-?>; -H
  • o:v-
  • P47 Lefue<u. rAlves. L= of? if 4. 4,w s o w,u( . l ll l
  • MuV-do 4 " c h ek volve (Vf-Y9)  ;
  • T2 - lo -tet - (ou f les utir ) -

i s

c # '. . MPR Associates, Inc. 320 King Street Alexandria. VA 22314 Calculation No. repared By Checked By Page ~_-Q 102075bHH 02- ' abs ~ OU

  • ice h fo </40u)

P Tz -/29 - i i = t ' - /ce b, .eIso a  % rea be sa e E7 ) L. = 20 - 0 '/4 9 - 0. 7CO == fo.7?I}! l E129-ISI - 9o* elho w  ;

  • p/3/-/53 -[ the-e/f**

N 'e/, /

                                                   @,            '                                                              [

7.ff/3 +.M7f //  ! o\ M R, . 9;., 3 t(, = 9 (w ;M* = 2 7Y/ in / 9"q L - 7.62/3 #01575 - 3329 *

                                                                         / *.,         l '"

7779 4. " e o 5)$3-/55 - yS*ellso u) *E ### p/35-/3f- <//sav h e/4ow

                                                                               -w - ' s- e, = 3. 7 rem
1
                                                ->       > o.7T' i

N  : -el j

                                                           - lj,q /fo 7 + 3. V2 71 A L = //.yll 7 + 3Nt7/ - 0. 75' - P2P = /3713 4."                                             -
                                                                                          / Z,
  • E/57-/y/.- fo-elbow --

P/VI-/V2. ellsow h e/fow (_ = .9. coo - 210.7fo = 6.S*oo ~

4. '

o G/y2-/yy-Qodbou P/VV-/S/- <))>ow h e/ bow L = 2.500 + ll. 000 + l0. 000 + lo Coo - 2>'. 0 7 c = 32. 50 0 G/SI-/S3- 90-t/ low O

MPR Associates, Inc. 320 King Street y Alexandria, VA 22314 Calculation No. Prepared By Checked By

          / 0207$ D4HO2.                            w>                       8Alu P/54-/S2 - erb.w to fu elfwYfy     -

N  ! (.75K _; _ g,,y ,4 I

                             .7ffau 22 C m                   f V,

o.3// # i s 4_o__- w i 5 [ l e " /.270 + 1. 0133 + 0. 500 o 4 = YR3 4 v l 7' Q (_ - VP!! - 0. Bil -0.750 = .$.77}4. g ~ ys. E/R-152 - 45'elbou> j~~ ' ' " )#f/

          }*         P/40-/S!- c/L~-<!A ~. .                             4        ) - o,,1
                                                                                                        ~~~*
                                                                                                                 *^ 75% M T,
  'rm. s                      L = 1. 07/ 0 - 0. 7fo - 0. ? //           c
                                                                                  ~~ ~4.pio 4.                    .
                                                                                                           ,",. a " O' 2 # A O              o   G/(,0-/42 - go etto a
                                                                                                                             ~
  • 6/6 2 -/4V - fo'</soM ,, ,.

V;'.

  • P/11-/44-L = d. coo + 72fo + 7.2fo + 7.2fo + ?. 2 To + /t.:fo + /,o - : .7Co
                      'c/how h r/how 1,                  l= 52 50 - I.co = $o,750 4.
            &
  • S/77-/79 - fo*elb.us h*9/79-/P2 e/how h ethov) <

f l = L/,Soo + 4.:S .u ,750 =  ?.?f-/.So = ~725 4 g

  • fill-/fy - fo'etb6w
            ?* P/ftf73 e/Jon&+c, (as.bu;H dimn.:o*ps useJ)

E l

  • 5,3 3 > + o.jit7 + o,0[o - o.750 - o. 93 2 L = 57914 '-

Y ?$}"$' T3 - Otst ra.X (h o pipe dehew te ou d Volve ) MW-4 2 6 Gob vont

                  *   $2o4-2o7 -voh c h, win L = o.9/4 7 4 (s s- bM)

O

  • MOV-43 4
  • 5a5 va/cc U
  • P2/o -TV Mov-U h T
                                /_ = S.Sooo + 5.S</i7             f35h
                                                                      / = / o,S'13 4 T4-lxk4 fee.                                            ~

MPR Associates. Inc. M R 32o xima street Alexandria, VA 22314 Calculation No. repared By Checked By Page my

              /0207@//// 02                            ,,,mh_.             ybo                                    '
                   /?i pin 9 dom /)1sh pp Tor /c h ?)c th foim!

This tos/ormah'ou truc/ fo rshb/ah po/unse of p,*po'ay, fe4veuce o'eswiuj PI-Jor-fis Si,It,.1 h e P 77<- 9' - makeup foe k k e/La w {i l ' /Yfo - 0.foo = /V o o /7, e EleoW-90 *

  • Pd-/2 - e/Lew h r/bo w , , , <

( = /. 0 0 4 /. 000 * ?.2 f0 - b d. loo = 6'< 7f0 4. j

                *          !ataus - 90 *
  • TEE 4tVt3 ~ dun (4 7tuc%unisus' P29-27 kc h Va/Ve- '" ' 070
  • muy-M L' ~I . b 5 5 5 + 2.572 9 - o.t11/.2. =

35 4 lj

                                          '/ c/ reek vsIve. O I.itt7 4
  • p 3y.52. . eluck va/v< A, 'Kellosu L = 3. coo +o.svrt-o.. .o7 = 3 'Ist St 61 sow-f6 h*  !

A5 4 - 5 7 e/hou /v ether u' L= */, ovo - 2 x o,2u7 = 0,fts it

                                                                                  , N 22.5                 (

201 4 / 00

                                                                                                         ,, ( I'0 #
                                                                                 ".M.            J

(! 37 Vf'e/ bow , us2

  • t'
                          /3VLt/-ff elbow lo volt <
                                       / '= 0, V/4 7 + / JOY 2 - 0 20 7 =                  /.5/V   N.
                                                                                           ~

o nivy- ty valyc . L 21 o. 446 7 4

  • f fi-!/'l volet fu elfoso , , , ,

Lc 4 ibb7 + stt5 + 9.7too +.ttss +9.4tt,

                                               + V. blo + .?.o + '/.T53? + 7.?oo - o.4[6 7 N[
l. = fl.fil $. '

l

  • SL80V/ 90'
  • P 58-K ci6 ~ ~h ribow .

L ~ . E22 f + 9, foo + to. coo - . coo .1 x c,5* Lr _I.J 323 6.

  • elbow 9po
 */. .

MPR Associates, Inc. 320 King Street Alexandria, VA 22314 Calculation No. Prepared By Checked By

                                                                                         "'** '~

iozonoue /k/wi,,L  % A bl~b f elbosu /o e/bosa (t< se at-but // ) L = J,5 533 - 2xo,5 = /,553 4.

                                                    ~ ^ ^ ~
                                                    ~'-
                &~Leow 90'
  • PTY-7/ e/Los.. h he f KerI de Ameusiax su,37)
l. = [/04 ,5/oYC) - o. foo - o, yg 7
                                    /
  • 3 .

tee 4 c 414 - Bra sse h 1 O O l l l

O

MPR Associates, Inc. R 32o xima street Alexandria, VA 22314 (- Calculation No. Prepared By Checked By IO20751)HND2. ftV/.y>rn Od

           . Sri:N/Mtb Thi d/ MEN 6/0U $                                /?g(: ASA/E8//,,f (/ff3)(&f '?h Tju se dimws/01s are 11sid k chblah Ha leuth$ of56aff Idp,5*,

Tlo - /YxIV'/0 de ducipe, sic (64) ) &7 J

                     /Vih fe.fr Bo            IV 00 - 0. 37f is, too//        '

MS Jo.7f op - Oo 34 fin toa // 6rt f h fl

                                   //.0 w

j,g3g [D9) E.- -. .' -.

                                                    .      g'*

IP av

                                                    - log H n

(2Y9)

                                                             -l             0. 2YV 4 Tl         /VY / Yx d        (4 a lu c o's' A Tic             (W) 6 in - "4.4:f e ' A 2fo wo//     .                    /3/, 2 i

t#1 1-, d i l

                                  //        j
                 /.f33I                     .

4 7 i 9.375 (?'f} o.71! 6. O

  , /; .
   ..                                                                                           MPR Associates, Inc. i 1

320 King Street Alexandria, VA 22314 ! O Calculation No. Prepared By Checked By 10207CbHWO2- /kn lAfD T2 4x4xd ^ sr. 9 T3 fa m . l. t,75 x o zso na /1 PA, 9 I' d St.25 - ( 0 9324 (l'/3) Y - l y , i I

                                                              =         =,       0.694.

h*II(/'/a) l l (~~x L,) Yf dxd*4 AA 9 fin Micom x 6,257 Aio// = f, o :{, /.C k) 1 i 1 4 l 5425 '. O.f!f,G. (/'/3) L-- l i 0* V$l k l 5/EC l (/50) ' 8f. 9 75 9'Y Yx 3 Sin = 3. Coo ob x o. zig ua /i - ?.otalio l [ n tyrve Vo/ = Y./26 0, f,ff ft. dos) 2- . . 02 '$bl? , O "

                                                                                   + E 3.of,(*x   .87{ T9.bE   -

O 2

,                               H                                         1 t{

pr-l 0.323 4, lo5 92i + 17.3oi = l2 2,31l in'3

                                                                  !.E75 ( 79 }
 .i*   ~

l MPR Associates. In:. l 320 King Street i p Alexandria, VA 22314  ! l V Calculation No. Prepared By Checked By IC2075DHl./ O2 hc. c~. - hb ) 5

          '/.  &fseeixES
                  /. F/on'ok /snev 6rpos$c>>, 'k//owstoIc nut-l /adies[d drerpiuurc rs. /udics&d bit /, ' 6Ic. a9v-ooS3, Ay,:                        {

tif/c ibehnicl terhic^us && Pf9f-b:?: oudt'i /fo d OttA!!)~55'U2blf 7.. $ro nd dompo n ej. f~Iow of f~/u r'c/s %vugh h/ng R$ug.su d P,ka , Ti ck ti a l 14 p<< 4t o, l Gue,s u Co rsp o n 1, Utw/ l 'orl<, (1988)

3. D. S. /H,'//.er, Inknial fiow Sii s/tws pQa sud fe r f w n a n a /St d e N eri '

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   .       102075DHH02                                                                                     MPR ASSOCIATES,INC.                                                                   !

j w C llem Nom. Description Ref Straight Elevaban Camp Flow Pipe Comp. Friction Velocity Velocity Combined Head 4 Slas Dnwg Pipe Flow Diameter t/D Total Factor Head Head Lee Loes

?

Length Length Loes Coeff

        }                              in                                       F1         Ft          Ft        Ft                  Coef                 ft/sec          ft        K           ft N8WST                     14           outlet nozzle                                120.5          0    1.1042         0        0.5 0.01384         9.984         1.548         0.5    0.7730 P1                        14           pipe                    416      5.844       120.5               1.1042 5.292519              0.01384        9.984         1.548 0.073248 0.1134
!           E1                        14           90 elbow                416             120.5 wrt 2.7489         1.1042         0     0.182 0.01384          9.964         1.548      0.182     02817 P2e                       14           pipe                    416      4.833 vertical                  1.1042 4.376924              0.01384        9.984         1.548 0.060577       0.0038 T1e                  14-10 14 runtee                            416             vertcal        1.8333    1.1042         0       0.04 0.01384         9.964         1.548       0.04     0.0610 3

P2b 14 pipe 416 22.3584 vertical 1.1042 20.24851 0.01384 9.964 1.548 0280230 0.4338 , i E2 14 45 elbow 416 vert-45el 1.3744 1.1042 0 0.129 0.01364 9.984 1.548 0.129 0.1997 i P3 14 pipe 416 2.352 45 engle 1.1042 2.130049 0.01384 9.964 1.548 0.02948 0.0456 E3 14 45 elbow 416 45el46.3 1.3744 1.1042 0 0.129 0.01384 9.984 1.548 0.129 0.1997 T1 144-14 red brlee 416 86.313 1.1042 0 1.2 0.01368 9.984 1.548 1.2 1.8574 Sum 35.3874 32.048 2.18 2.623544 4.0008 P4 6 pipe 416 3.521 86.313 0.5054 6.966750 0.01667 6.064 0.000 0.116136 0.0001

  • E4 6 90 elbow 416 86.313-vo 1.1781 0.5054 0 0.21 0.01667 6.664 0.000 0.21 0.1448 P5 6 pipe 416 17.188 verticei 0.5054 34.00871 0.01867 6.664 0.000 0.580025 0.3000 E5 6 90 elbow 416 vert 105 1.1781 0.5054 0 0.21 0.01067 6.664 0.000 0.21 0.1448 E5e 6 45 elbow 416 105 0.58005 0.5054 0 0.149 0.01067 6.064 0.600 0.149 0.1027 P6 6 pipe 416 3.583 105 0.5054 7.089434 0.01067 6.664 0.000 0.118181 0.0815 E6 6 90 elbow 416 105 vert 1.1781 0.5054 0 0.21 0.01067 6.664 0.000 0.21 0.1448

+ P7 6 pipe 416 7.5 vertical 0.5054 14.83973 0.01667 6.064 0.000 0.247376 0.1706 E7 6 90 elbow 416 vert-96 1.1781 0.5054 0 0.21 0.01667 6.064 0.000 0.21 0.1448 l MW-58 6 9ete W -861 96 1.323 0.5054 0 0.12 0.01667 6.664 0.000 0.12 0.0827 P47 48 6 pipe -861 0.5729 96 0.5054 1.133558 0.01667 6.664 0.600 0.018806 0.0130 MW40 6 check

  • 4 61 96 0 0.5054 0 0.912 0.01667 6.664 0.000 0.912 0.8200 l T2 644 brtee 861 96 0.5054 0 1.13 0.01667 6.664 0.000 1.13 0.7792 P129.T2 6 pipe -861 6.781 vertical 0.5054 13.4171 0.01667 6.664 0.600 0223663 0.1542 E129131 6 90 elbow 4 61 vert-104 1.1781 0.5054 0 0.21 0.01667 6.664 0.600 0.21 0.1448 P131-133 6 pipe 4 61 7.778 104 0.5054 15.38979' O.01667 6.664 0.000 0.256548 0.1760 E133135 6 45 elbow 4 61 104 0.58005 0.5054 0 0.149 0.01867 6.664 0.600 0.149 0.1027 P135-130 6 pipe 4 61 13.783 104 0.5054 27.27147 0.01667 6.064 0.000 0.454615 03135 Q3.130141 6 90 elbow -861 1044ert 1.1781 0.5054 0 0.21 0.01067 6.664 0.000 -0.21 0.1448 yJ141142 6 pipe 4 61 0.5 vertical 0.5054 0.980315 0.01667 6.664 0.600 0.016492 0.0114 E142144 6 90 elbow 4 61 vert 106 1.1781 0.5054 0 0.21 0.01667 6.064 0.000 0.21 0.1448 P144151 6 pipe 4 61 32.5 106 0.5054 64.3055 0.01667 6.064 0.000 1.071973 0.7302 E151153 6 90 elbow 4 61 106 1.1781 0.5054 0 0.21 0.01667 6.064 0.000 0.21 0.1448 P156153 6 pipe -861 3.772 106 0.5054 7.463305 0.01667 6.064 0.600 0.124415 0.0858 E156-158 6 45 elbow 861 106 0.58005 0.5054 0 0.149 0.01667 6.064 0.600 0.140 0.1027 P160158 6 pipe -861 6.01 106 0.5054 11.89157 0.01867 6.064 0.600 0.198232 0.1367 E160182 6 90 elbow -861 10thert 1.1781 0.5054 0 0.21 0.01667 6.664 0.000 0.21 0.1448 E162164 6 90 elbow 458 vert 104.5 1.1781 0.5054 0 0.21 0.01667 6.064 0.000 0.21 0.1448 P177164 6 pipe 858 50.75 104.5 0.5054 100.4155 0.01667 6.064 0.000 1.673027 1.1543 E177-179 6 90 elbow -858 104.5 1.1781 0.5054 0 0.21 0.01667 6.664 0.000 0.21 0.1448 3 P179182 6 pipe -858 7.25 104.5 0.5054 14.34507 0.01667 6.664 0.600 0.230132 0.1649 E182184 6 90 elbow 858 104.5 1.1781 0.5054 0 0.21 0.01667 6.064 0.000 0.21 0.1448 P184 T3 6 pipe -858 5.781 104.5 0.5054 11.43846 0.01667 6.664 0.000 0.190679 0.1315 Sum 167.2000 330.9654 5.129 10.64619 7.3414 1

T3 6 runfee -858 104.5 0.9367 0.5054 0 0.04 0.01667 6.064 0.000 0.04 0.0276 MW42 6 -858 104.5 1.1666 0.5054 0 0.12 0.01067 6.664 0.000 0.12 0.0827 l 9ete W - 22 P206-207 6 pipe -858 0.9167 104.5 0.5054 1.813811 0.01667 6.664 0.600 0.030236 0.0200 l MW43 6 gate W -858 104.5 1.1666 0.5054 0 0.12 0.01667 6.064 0.600 0.12 0.0827 P210 T4 6 pipe -858 10.573 104.5 0.5054 20.92006 0.01667 6.064 0.000 0.348737 0.2405 T4 646 half run tee -858 104.5 0.5054 0 0.02 0.01067 6.664 0.000 0.02 0.0138 Sum 11.4897 22.73387 0.3 0.678074 0.4682 Sum el 11.8704 y tv1.1 h) ' l 3 e m J by, 6 flJ QuestroProWin6.0 CRPIPE.W82 03 Jan-96}}