ML20101M552
| ML20101M552 | |
| Person / Time | |
|---|---|
| Site: | Crystal River  |
| Issue date: | 01/24/1996 |
| From: | Harrison D MPR ASSOCIATES, INC. |
| To: | |
| Shared Package | |
| ML20101M505 | List:
|
| References | |
| 102075DHH05, 102075DHH05-R00, 102075DHH5, 102075DHH5-R, NUDOCS 9604050439 | |
| Download: ML20101M552 (19) | |
Text
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MPR Associates, Inc.
320 King Street Alexandria, VA 22314 O CALCULATION TITLE PAGE Client jrLOld/M A0WER CO/?PGRAMCA/
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MPR Associates,Inc. Page [
320 King Street, Alesandria, VA 22314 e
,, Cale: 102075 Dill 105 Preparer: _ _ /% Checker: 7, - Print page 1 DETERMINATION OF FRICTION FACTORS I The purpose of this calculation is to evaluate the effect of variations in Reynolds Number and surface roughness on the value of friction factor. A range as well as a typical variation in each will be evaluated. The calculation is adapted from MPR calculation 102075DHH02. Reference 2.
PARAMETERS The nominal conditions for the system are:
The dynamic viscosity of water at 100*F and approximately atmospheric pressure:
4 9 := 142.010 lbfE ASME Steam Tables (1967), Table 10, page 28010-20 psia,100F 2
f1 The density of water at 100*F and approximately atmospheric pressure:
1 lb E*
0.01613} ASME Steam Tables (1967), Table 3, page 131,15 psia,100F The kinematic viscosity is then: ,=y v = 7.369 10' -
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.
c := 0.00015 A The friction factor. f, is determined from the Colebrook equation.
1 Ic 2.51 ) )
-=- 0.86 in + where. D is the pipe diameter, ft
[r ;D 3.7 Nr-[f) Nr is Reynolds Number FRICTION FACTORS FOR NOMINAL CONDITIONS:
14-inch nominal oice:
D 21.1042 A Q =4291 V := V = 9.984 - Nr := Nr = 1.49610' mm D2 see y n-4 l c 2.51 I I I Guess value g = 0.01 f := root 0.86 In '/ + -
,g f = 0.01384
( Nr[gj hj 6-inch nominal oice Q = 600 gd- Q A DV s D = 0.5054 A V= V -6E4 - Nr = Nr = 4.57 10 mm 92 see y x-4 l /c 2.51 I I I Guess value g := 0.01 f := root - 0.86-ini + -
,g f = 0 01667
\ k Nr 81 8)
FRICTION FACTORS FOR VARIATIONS FROM NOMINAL CONDITIONS:
The expressions used above can be evaluated for ranges of rou0hness and Reynolds number.
EFFECT OF REYNOLDS NUMBER m For the 14-inch nominal pipe: D := 1.1042 A Reynolds Number: range Nr := 1.0 10',1.1 106 . 2.010' Mathcad PLUS 6.0 PlPEDP3.MCD 7:21 PM on 1/21/96 I
MPR Associates,Inc. Pageb 320 King Street, Alexandria,VA 22314 .
- Cale: 102075DHH05 Preparer: hecker:[d Print page 2 O Guess value g = 0.01 l
-0.86 Inj/
c 2.51 I 1 I !
i f(Nr) = root
{ \
Nr h) h,gj
,,, The nominal and the ratios of the 10 percent values
- to the nominal are
14.2 14 ,
, f(1.496- 10') = 0.01384
\ 6 f(l.49610 0.9)
{ % ,
l f(l.49610') l
"^ 6 t 1.2 1.4 1.6 t.: 2 f(l.49610 1.1) ,
f Nr(10) f(l.49610')
For the 6-inch nominal pipe: D :=0.5054 fl Reynolds Number: range Nr := 3 10',3.1 105 . 6.0 10' Guess value / 2.51 I 1 I g := 0.01 f(Nr) := root -0.86-In[. + c -
,g
\ f* Nr fg) h)
IN The nominal and the ratios of the i 10 percent values b
17.2 to the nominal are:
17 g
R Nr) tooo i6.
- N N f(4.57 10') = 0.01667 N N-5 f(4.5710 0.9) 16.4 s =1.00809 16.2 '
)
3 3.6 4.2 4.s 5.4 6 5 f(4.5710 1.1 )
y, (,g 5) = 0.99318 114.57 10')
- VI i
Mathcad PLUS 6.0 PIPEDP3.MCD 6:56 PM on 1/21/96 A
-- _= - --. .. .. . .. _.
1 i
t MPR Associates.Inc. Page7 320 King Street, Alexandria,VA 22314 / . ,
q Cale: 102075DilH05 Preparer: eMhecker: '
Print page 3 EFFECT OF ROUGHNESS For the 14-inch nominal pipe: D = 1.1042 fl Nr = 1.49610' Roughness : range c :=.0001 ft,.00011 A. 0.0002-ft
( 2.5l \ l 1 Guess value g := 0.01 f(c) := root -0.86 +in ? c -
,g
('
- Nrh) hj l 15 '
The nominal and the ratios of the i 40 percent values l to the nominal are:
14'5
/ f(0.0001511) = 0.01384 f( * )' 3
- 84
/
/ f(0.00015 0.6 ft) t / = 0.9368 l
13.5 / f(0 00015 ft)
) / f(0.00015 1.4-ft)
= 1.05206 l- i 1.2 1.4 1.6 1.s 2 1(0.00015 ft) c 10 A
For the 6-inch nominal pipe: D :=0.5054 A Nr := 4.57 10' Roughness : range c := 0.0001 A,0.00011 fl. 0.0002 ft
/ 2.51 i 1I Guess value g := 0.01 f(c) := root -0.86 +in[ c
'\ ' ' Nr hj h ,gj The nominal and the ratios of the i 40 percent values 17.5 to the nominal are:
/
17
[ f(0.00015 A) = 0.01667 gc> im 16.5 /
/
/ f(0.00015 0.6 ft)
= 0.93903 16
/ (0.00015 A)
/
33,3 f(0.000151.4 A) i 1.2 1.4 1.6 ts 2
=1.05188 f(0.00015 ft) c 10 A
('N Mathcad PLUS 6.0 PIPEDP3.MCD 6:56 PM on 1/21/96
~ MPR Associates, Inc.
320 King Street Alexandria, VA 22314 o
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=
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MMPR 320 King Street Alexandria, VA 22314 Calculation No. Prepared By Checked By to207Surmor /?Voin L v$'ta.)o.,) " ** 9 ff!- !V-in, f = o.oi?Sx/.tr 90 x o.ont = 0. 0526 6 -i- (g = o.oi7txtTx fo r o.sa7 = 0,0 39fr Vf* /V-il (,',. = o.oi7fr J. fr YC > o.orge : o.o t b!
l-a, (S = 0.01777/ P Yr vo.oll7 ~ 0 0/975 fi,, = 4, 8, d i idu <<
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fiu comunal volws osc :
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w s.pv - g,2, gate i,, M z . =
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f u=h.o.i <,o/to 3 L+ o. i of / = 0, /2 SV ] gg:"04?I. g,972 Q f- n, n.</
= 0. i.2 / ) ' 'l
$b = 0.0 le ,,. (3 /973
/z +0 /09/
= d. /.2 f= 0>/2!! O 1 } Chi'd? = 01
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320 King Street Alexandria, VA 22314 Calculation No. Prepared By Checked By
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320 King Street Alexandria, VA 22314 Calculation No. Prepared By Checked By I
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=
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e ,/r$
b"*
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l G/q, 0 - 1,0 s id = 4 o =A
( />v m expit s sier>, 4 o%pam 7-![
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f , A 'fi+f sf- D k% oc ) = / / +f0.60(),- 2 0.4i?f*9e O #
NJ J /
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Va liu *f
- 2 telawces 2. aud S') tJ/o a
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320 King Street l Alexandria, VA 22314 '
fS j Q Calculation No. Prepared By Checked By i
/0 07501///0 [ '
$6tm h/(dlh fehena. MaiMol Aom Ne/cWk Me46<uu. 4 b Diverging wye of the type E, + Fu > F,; F, = Fc; Diagram a = 0-90*. Side branching. [10] 7 15 wt,4 Wst. Fat 1. O < a < 60* and a = 90' at h/hc < 2/3:
fc.s = , =A' 1+ -2 cos a = A'ff ,
,3
- 2. o = 90* and h/he = 1.0 (up to w/we= 2.0):
fc., = = A' I + 0.3 = A'f;,,
h,is the height of the cross - # -
section of the side branch; where for f},,, see the curves fj,, = f(w/w )c at different a; for A. see hc is the height of the cross Paragraph 15.
section of the common straight channel 4 *I I IH l y I
- f I I Il t i I i Il APs tc.:
E ,' ' ' #" pwll2 "(w/wc )'
fy $ j lllf_
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! ' It il I / /l_
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l jai,nt/
$ ,*b N Y h'
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gg W '6 eai*/ / / If NWMt & / / i x,, wY$
00 Cf 22 03 04QS 27 to 20 WsMc l
Table 71. Values of A F/rc <0.35 >0.35 >0.35 Q/Qc 0-1.0 <0A >0A A 1.0 0.9 1- 0.55 o
a
' MPR Associates, Inc.
320 King Street Alexandria, VA 22314 Calculation No. Prepared By Checked By
/05075bil405 /fW$ ~//2/JcJ e
lb i G. 4xted ,
5 = dra u cl< s eer = "/y (0.Toiv)' .= o,2co!,4 s
& = run o ver = 0.1 uo d 4
- GS = fnuch Slo J = boo gpm Qe = censua./%sa = bo o gym 11/g =
dwe.h Vel =
ls.t 4it A lte.<
We *te k t pel '
(s.66 4 A/su
- f, kiId to o4. =
0.fo[Yfi fg=
Fun : 0. lary ft.
$o !
/~s/fg - /, 0 b/f : /. o Qs/4 , .- /o N'/y, : /, g
,V tase. n io % .9, l (c,: '
A ' f/ +ao3 s}*
d ' 1 % , Tosh 7- / 5/;, = l > a,3s Os/q, < / ., > d, y 5'o A : c) , f i So
- 0 lf / + 0, 5 j} ' =0,5f{/.5}=0,2t$
'Tus i: low %n //a n /ue o r /. i s ov o , m s % i w tht//o/irr Mi//e< (du /&te,wa s 2 aus g) fa h:o : O' ?'f : 0,65
/, / S
'hab hould imph t on uuudenuly sj. S'1 ;ctiend. .L/ diGcaua.
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320 King Street Alexandria, VA 22314 t^\
Q Calculation No. Prepared By Checked By 10.'.07SDHH06 dAun hA/Ll k % defrenu ce befwcw L. la'eIcA>'k (deceau u_ y-)
igsutt and the valu.e. usia.5 h> iller (t?.i kn u u. S ) -
in d.aItalaHan /02t>HbWo2 (f.:fe:.vu 2 ) Is inuch grea teo-i ih flu ase of & dxdid brauch / tow /kan /A i / W / w ea cc.
behvcen vokas he /As. tyx icjx g, h,,,ej, ,cim ,a,/ /s in a.
6%en/ dincAon.' '
l 6ha. //u bu/k af f/u loss is in Hu IVx Nx la &e and stuu d oppem Md Nu lx&vi 7a' yahu6 oec ceswvahk, & unao.loirdy c) o pe+anf /n & IVrIVr 4 7tc d couv'dte & sppvvimsb vatw.
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14 Von' anon of 20,xrant thould be op edtyucia a//owouce. A<
var,'a W/t hj, O
- MPR Associates, Inc.
320 King Street Alexandria, VA 22314 Calculation No. Prepared By Checked By to 20'15 D1/40 S j}Q pg P 9' /f
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A S S O C I A T E S I N C.
ENGI NEERS G
February 13,1996 Mr. Paul Tanguay Director, Nuclear Engineering and Projects Florida Power Corporation Crystal River Energy Complex 15760 West Power Line St.
Crystal River, Florida 34428-6708
Subject:
Crystal River Unit 3-Review of Calculations of Maximum Allowable Makeup Tank Pressure
Dear Mr.Tanguay:
At your request we reviewed Florida Power Corporation calculation M94-0053, Revision 2,
" Allowable MUT-1 Indicated Overpressure vs. Indicated Level," as well as some material 3 that is being prepared for the next revision (Revision 3) of that~ calculation. The results of (O that review were forwarded to you by our letters of January 11 and 22,1996. The purpose of this letter is to forward an additional calculation reporting the results of work to evaluate the impact on the calculated value of allowable makeup tank pressure of a lower temperature in the makeup tank.
A high temperature of 135'F in the makeup tank was selected in the original calculations because it maximizes the vapor pressure of the water in the gas space and should result in a higher pressure in the makeup tank as the level drops. However, there is a competing effect in that the solubility of gas in the water in the tank is higher at a lower temperature so that there is more dissolved gas available to come out of solution as the pressure in the gas space drops. The attached MPR Calculation (102075DHH06) evaluates the maximum allowable pressure for temperatures of 135'F and 100*F. As expected, the allowable pressure would be increased if the makeup tank were assumed to be at the lower temperature, i.e., the assumption of a high temperature in the makeup tank is conservative for setting the allowable pressure in that it results in a lower curve of pressure versus level.
The amount of the difference between the two assumptions varies with the level in the makeup tank; however, the higher temperature is conservative (as defined above) for any level. This effect adds some implicit conservatism to the calculated pressure versus level curve. For example, at a tank level of 80 inches, a temperature of 100* Fin the makeup 320 KING STREET ALEXANDRIA, VA 22314 3238 703-519-0200 FAX: 703 619-0224
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, Mr. Paul Tanguay February 13,1996 i i
f tank instead of 135'F, would add about 6 feet of additional margin to the makeup tank level draw down.
l If you have questions on the enclosed calculation or this letter, please do not hesitate to l contact us.
l Sincerely, l
l Dwight H. Harrison
Enclosure:
MPR Calculation 102075DHH06 cc: Mr. R. Clauson, Florida Power, w/encls i
Mr. K. Ledzian, Florida Power, w/encls l
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