ML17312B214

Discusses Use of Fanno Line to Predict Flow in Crack. Tables 6-13 & 6-15 from Text, Applied Fluid Dynamics Handbook, Encl

ML17312B214
Person / Time
Site:	Palo Verde
Issue date:	04/09/1996
From:	Michael G ARIZONA PUBLIC SERVICE CO. (FORMERLY ARIZONA NUCLEAR
To:	Thomas C NRC (Affiliation Not Assigned)
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ML17312B213	List: ML17312B212 ML17312B214 ML17312B216 ML17312B217 ML17312B219
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NUDOCS 9702110272
Download: ML17312B214 (6)

Text

Apr-09-96 16:53 PVNGS Nuclear Reg Affairs 602-393-5442 F(~/@

~o 'Qv/es 7r4~s Ay c<<iis 3a.ck.<en RE: Asst>>>>pf<<'l>>

<>I adlabatlc Row Th<>>s<<if l<<>>>><i li<)e tn pre<lict tl<iw in a crack. implies that we are neglecting heat transfer from

<I<'< t>>li< w;<II t t '>>ills). i.e we are <<ss>>n)mi>>)i >><liabatic H<iw. This assumption is reasonable since th<'csi<lcnce )i<>>c <it'he gas in the thin wall whicl) is inversely proportional to velocity (high vcl<icitics) is s>>>><ll <<.>>>>pared with the heat tra>>ster characteristic time which is inversely pro-lirti>al t<i s<<rtace <<rea (small surf'ace area).

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Apr-09-96 16-53 PYNGS Nuclear Reg Af'f'ayers 602-393-5442 P.03 PIPE AND DUCT FLOW 103 0

Table 6-15(a). Adiabatic Flow of a Perfecf Gas Through Plpcllne Componenfe.

1 <<S

~Qv

.01

.02

<<03

.Gh

.u5

<<06

<<0?

.GB

~ v9

.10 F 11

.12

.13

~ 14

~ 1$

.14

,17

<<1$

.19

,20

~ 21

~ c2 o3

<<21

~ 25

~io

.27

.28

.29

~ 30

~ 31

.32

~ 3o

.34

.35

~36

~ 37

'<<38

.39

~ 10

~ 41

~ 42

.43

~ 44

.15

<<46

~ 47

<<4$

<<49

.76835i04

.I9)55<04

.$ 4785i03

<<47443404 l3GI?5i03

.20$ 05t03

. ISI &3103

.11508<<03

.9Gu&0402

.72202<02

<<59020i02

.49020i02

~ 41255102

~ 351iv<<02

<<30183402

.2&15?+Oi

~ 22833<<02

.200$ a<<02

.1)726<<02

~ IS?32t02

~ 14030<<v2

.12562<<Gi

.1128S402

.101?7<02

<<920ii+Gi

. 83413> 0 I

.75801101

.o903$ 401

. 62919+01

~57594iOI

~ 52741>01

<<48370tOI

<<44422~01

.40ihstOI

.37&04iOI

.iho$ 3+GI

.61963401

.2'950?+01

.272$ 9iOI

.25ivvovl F 233'l040'I

.2IS?2ovl

.19973401

~ 18499401

<< I?iit>0 I

.15882>OI 14720iQI

.13615>OI

.12dhsoOI I ~ 00000

.99994

. )597C

.99912

.9989d

.99838

.99)ho

.9'9682

<<'99585

.994)$

<<9935>

.992I7

<<99069

.96909

~fil34

.98551'98353

<<$ 8<43

.9?r2I

.97687

<<9744 1

.5)183

<<969Ii

.96&33

~ 903%I

<<9&u37

.9572i

.95397

.95060

<<94713

~ 91355

<<93186

~ 93dOS

~ 9322G

<<92821

<<92413

.'91995

~ 915d8

~9lr32

.90ds?

<<90233

.89771

<<89300

.88821

<<'88334

~ 87839

<<87336

~ 86827

<<86310

<<85785 1.00000

.99995

.9998v

<<19955

.$ 1920

<<99875

<<99820

<<95)55

<<$ 9&81

.99594

.ffo02

..59&ri

.99283

.99l&0

<<99026

.9$ 8oo

<<f8731

.98568

<<98397

.98216

.r$02

<<f?82&

.97618

.97400

.97173

.9&937

.16&93

~ 9o440

'9&178

.95907

.55o29

.95341

.9501&

.94742

~ 94431

~ 94111 93784

<<93449

~ 93106

<<9275o

<<92399

~ 92031

<<'114d3

~ 91284

.90899

~ 90507

~ 90109

~ 89704

.89292

~Ejss?$

I 00000

~ 99999

.99994

<<99987

.99976

<<r99o3

.99546

~ 99927

<<99904

.99879

.99hSG

.99819

.99784

~ 9974?

<<9970?

~ 99d&4

~ 99617

<<99568

<<9951&

.91461

.99104

.99343

<<99279

.99214

.99143

<<99071

<<98996

.98918

.98838

~ 98754

.9$ o&8

.985?f

~ 'iS487

.98393

~ '1829d

,98196

<<98093

<<97988

<<9?shu

<<'17769

<<97dS&

<<97511

<<f742i

'<<97301

~ 97178

.17052

<<969i I

-<<96753

~ 9645'9

~ 96524 C

C

's<<OOOOD

.99999

.9trv)

.95't93

.99988

<<99981

<<999)o

<<99foo

.99952

.99939

.99925 91909

.99892

.99873

.99853

.95832

<<99809

.99781

<<99?58

.9 9730

.99?M

.99&71

~ 99o39

.5940&

<<95571

.99535

.91497

.9r'458

.59hri

.1937$

.99332

~992b]

.99 '1l

<<99I93 9rrhh

.99Q54

~ 99042

~ 98989

<<iS934

~ 188?8

~ 98821

<<98763

<<98703

<<98611

<<98579

.98S15

<<98450

.98383

.9831&

<<98246 roT R 1

2 cr

~$

.00000

<<01140

,02280 03419

<<04557

,0$ o93

<<06827

.07959

.09088

'<<10214 e 11336

,12455

. I 35&9

<<rhhir

.rs?84

.r4$ 83

.17977

.r9044

.20145

~21'19

.22287

~ioohb

~ 2%398

~ 25441 2&4. 7

.2?$ 03

.28520

<<29528

.3052&

~31514

~ 32411

.33159

~ 34415

~ 353&0

~ 36294

<<37216

.38126

.39024

<<39910

.Iv?83

~ 41444

~ 42491

<<43325

~441+4

.41954

<<1571$

~4&$28

'.47213

.4804$

~ 48?S3

~

~

f

Analysis I. Exact Isothermal Given Hl, solve lor H:

U

~

2 Solve for pzt pz pl (Hl/Hz)

Solve for nz.Uzt Arllabatir t'lvcn Hl, solve for HZ.

- H I

(HIt (Y -

)

/zl)

YHI yaz l Hzil t (y - 1)HI/2ll I/2 M II (Y- ))M/2 I

S I

I YY:

I MI 7.

11 (y-l)H/2 Table 6-13. Subsonic Compressible Flow ln Uniform Pipes and Gucts.

Notation: D = hydraulic diameter [Eq. (6-10) J; f = friction factor [Eq. (6-6) J; L = span between points 1 and 2; M = Mach number, U/c, where c is speed of sound (Chapter 14); p = static pressure; T = absolute temperature; u = flow velocity; p -= gas density; ~ = ratio of specific heat at constant pressure to that at constant volume. See text forassumptions. Point 2 is a distance Ldownstream ofpoint 1, and subscripts 1 and 2 refer to fluid properties of these points. (Ref. 6-3, Vot. l. pp. 167, 182.)

Il t

fn0 I

ty U

z C0tnx gt7ttl0O 7c I0 lO I

IO OI W

OI

~ ~

Ql (t)

ZL f)

I

2. Lov Harb number 2

<c I

(Y - l)H 2

3. Small Static Pressure Chang>>

and Lou Hach Humber Pl Pz r I Pl Pz Dl(pz/pl )

Uz ~ Ul(pi/pz)

Civen'Dl. p.

end Ul. solve for pz.'

2 DIUI I " (pz/Pl) 2 See frame I for Dz. Uzi See footnote (a).

Civen pl, pl. and U, solve for p:

I/2 2

I DIUI I+

I' 2

p -pu I

I I

Ser frame I for p U.

Solve for nz, UZ Tz.

I/y n - n (p /p )

Uz - U,(n,/pz)

T

~ T {p /p I {Y-I)/Y 2

'I 2

I Also ser text for solution proredure.

Given Dl, Ul. end pl, solvt'or pzt 2

I I

I - (p /p I) 2 p

2 See frame I for I, Uz. Tz.

Sre frJRP I fot n. Uz, T t:Iven p, pl, and Ul, solvr !or p I/2 p2 J pl DIUllfL0 + (y + I)/(2Y)l p

(y t 1)nIUI/{7Y)

/

Ol0 I

(t) lO (t)

I Ql M

(a) This formula is an exact alternate statement of the formula in fremr I.

'0 0

I f