ML19345D442
| ML19345D442 | |
| Person / Time | |
|---|---|
| Site: | Sequoyah |
| Issue date: | 08/29/1980 |
| From: | OFFSHORE POWER SYSTEMS (SUBS. OF WESTINGHOUSE ELECTRI |
| To: | |
| Shared Package | |
| ML19345D436 | List: |
| References | |
| NUDOCS 8012150114 | |
| Download: ML19345D442 (18) | |
Text
em k_),
AFFEiDIX V PROGRESS REPORT ON VERIFICATION OF Ct.ASIX OFFSHORE POWER SYSTEMS l
I i
l August 29, 1980 l
f
\\\\Y A
6032150 i
f I
r
INTRODUCTION To provide a level of confidence in the analytical results produced by the OLASIX computer program, a series of comparisons with accepted progrr andertaken. To date, comparitons with the TMD and C0COC mputer programs have been completed,and the results are i,
.n this report. Both of these programs are design programs developed by '.iestinghouse Electric Corporation,and TMD has been accepted by the NRC staff. The base program,C0CO, from which C0C0 CLASS 9 has been developed has also been accepted by the NRC staff.
The TMD program was developed for the analyses of large break LOCA transients in ice condenser containments. The C0C0 program was developed for similar analyses in dry containments. The C0C0 CLASS 9 program is a modification of the C0C0 program to provide for the analysis of hydrogen burning transients.
TMD COMPARISONS Both the CLASIX and TM3 programs are multicompartment analytical models with ice condensers. A significan't difference between the programs is in the treatment of the flashing of the breakflow as it enters the containment. Since TMP is intended for large LOCA analyses, great turbulence in the containment can be expected.
Because of this, the liquid portion of the breakflow over the short period of.the blowdown would be expected to be intimately mixed with the gases and be at the same temperature as the gases. This auto-f matically forces saturated steam conditions. Since CLASIX is more concerned with situations where blowdown is less severe, the liquid and gas phases are assumed to separate with the vapor entering the compartment atmosphere as saturated steam. Without the liquid from previous times :.ixing in with the gases, higher temperature in the blowdown element would be expected in the CLASIX predictions.
The first two figures present the pressure and temperature responses 4
of CLAS!X and TMD to a constant blewdown rate of 10 pounds /see of 500 BTU / pound water into an ice condenser containment with ice in the ice condenser. As expected, the temperature predicted by CLASIX in the break element (LC) is higher than that predicted by TMD.
However, the CLASIX temperature for the upper compartment l
is lower than the TMD temperature. This would indicate that the CLASIX ice condenser model removes more heat than the TMD model.
However, the CLASIX pressure is slightly higher and thus is conser-vative.
I Figures 3 and 4 are for the'same transient but with no ice i
in the ice condenser. As expected, since there is more energy in 1
l the gas phase in CLASIX, the CLASIX pressure is higher and the temperature in the lower compartment is consistently higher than that of TMD.
In the upper compartment, the CLASIX temperature initially lags the TMD temperature but then exceeds it. This effect is probably due to initial density differences and rates of displace-ments of constituents from the lower compartment. However, the characteristics of the responses are the same with CLASIX,providing conservative results relative to the TMD results. L
To minimize the effect of mixing the liquid portion of the blowdown with gases in TMD, the enthalpy of the blowdown was increased into the superheated region. The initial low temperature of the gases in the containment will condense a small amount of the blowdown as themal equilibrium is achieved. However, because the blewdown is superheated, the condensate should be vaporized in a short period of time and the results of the two programs would be expected to converge. The results of this blowdown with and without ice are shown in Figures 5 through 3.
COC0 CLASS 9 COMPARISONS The COC0 CLASS 9 program is a single volume representative of the dry ccntainment with the capability of simulating hydrogen burning. Re-sults of C0C0 CLASS 9 have been presented to the NRC is support of licensing a dry containment plant.
There are also differences between C0C0 and CLASIX as between TMD and CLASIX, in the treatment of the flashing of the blowdown. Thus, some differences in the temperature during blowdown would be expected.
4 The selected transient was 10 lb/second blowdown for 200 seconds, no forcing function for 100 seconds, hydrogen generation for 100 seconds at 10 lb/second followed by burning the hydrogen at 50 lb/sec. The transient was to be run twice; once with 500 BTU /lb blowdcwn and once with 1205 BTU /lb. The comparison of the results of these transients are shown in Figures 9 through 12
5 l
l DISC!G.!GH ?
. " f5 Many of the-
.i t.s from i. LASIX exhibit a jagged response. This is attributab!
, loose convergence in evaluation of the steam propcrties.
i"r known parmeters at the end of each time step are 1
the pecific. lue of the steam and the total internal energy of the volm:c.
tial passure of steam and a compartrrent ternperature must le asse
- ..vi intr rr.al energy and specific volumes from the AStiE Steam T.
. evalveted. Adjustment in the assumed values is i
mode iuseo H
_ ' rsui t.Md tne process is repeated. Obviously this is a tirte rc' ciin iteration to an acceptable convergence. To reder.c e rre
- i. iee, the convergence criteria are relatively larp, resuH i in tha ur.smo3th plots. However, since mass and enei gy are c.. ' ved, thre is no cumulative error.
This conclusion is confir d b.e t!.r. cicsc correlaticn with TMD and C0C0 CLASS g.
a Further confir.. '.ir. will be achieved in a future run by using..a i
very tight ci wrpence for comparison.
OTHETLyRIDE'.iiOJ Some external alculations have been performed using the CLASIX program meth41ogy for calculating the results of burning hydrogen 4
and comparcd rith published test results. No significant discre-l pancies were oSserved.
l I-i OLTJJRE WORK l
- Comparison of CLASIX and LOTIC is in progress but at present is in-complete. Since CLASIX utilizes the LOTIC ice condenser heat transfer 1
e
.4 d
r
model, closer correlation between upper ccmpartment temperature predictions is anticipated than those achieved with TilD. As the CLASIX capabilities are expanded, the results.will continue to be compared with existing prograns.
In addi tion, as-test results be-come available from the hydrogen burning experiments, comparison between CLASIX and test results will be made.
CONCLUSION The comparisons of CLASIX with the TMD and CLASS 9C00 programs display no significant discrepancies that are not explainable' on the basis of differences in analytical assumptions. Although the ice condenser in CLASIX is apparently more efficient than TMD, the ice condenser model in CLASIX is more representative of the LOTIC ice condenser model,end the two will be compared in future work. However, the CLASIX pressure predictions are conservative.
Based on the preceding, a high level of confidence can be placdd.in the CLASIX analytical predictions as being reasonable and probably-conservative.
i T
i e
h I
t
,-5--
i i
i i
29 -
28 -
CLASIX TND COMPARISON 10,000 LBM/SEC BLONDONN l
27 -
500 BTU /a HITH ICE-26 -
t i
i 25 -
i i
24 -
- - - - - - - - - ~ ~ - - - - - - - - - - ~ ~
-m E
23 -
n.
~
s
/
1 W,
22 -
W
/
ou) 4 in 21.-
m W
/
a.
20 -
j l
19 -
f
/
18 -
LEGEND 17 -
TMD CLASIX i
i g_
n 3-15 c
''''''''''III3 0~
4 8
12 16 20 24 28 3'
3o^
40 44 48 52 ' 56 60 J
TIME (SECONDS)
- Ne r
d i
300 -
CLASIX TMD COMPARISON 10,000 LBM/SEC BLOWDOHN 280 -
SOO BTU /LBM HITH ICE 260 -
240 -
_______.__________________________LC n
/
220 -
s' f
/
Ld
/
m 200 -
/
D
/
+-
/
m
/
m 180 -
/
to Q.
I tu 160 -
H 140 -
_______________ UC J
f '
120 _
[
LEGEND 100 -
f
TMD
/
80 /
CLASIX
/-
_n ilisllitlisilisilisilisiliitlisilie: I sili.,,l,,,l,,,j,,,l,,,1 0
4 8
12 16 20 24 28 32 36 40 44 48 52 56 60
. g TIME (SECONDS) m
~h*4e ae e d
4 1
.1 -
D~
CLAS1X TP3 CCuPA41$0N
[
10,000 L84,'SEC BLCh0CHN
/
77 -
500 STU/s
/
NO ICE
/
/
n-
/
/
/
73 -
j
/
/
71 -
/
/
I
/
/
n-
/
/
i
/
/
/
j
/
q.
/
.1 -
f y
gg -
[
a I
/
4 1
n-
/
i
/
ss -
/
t 1
I
$3 -
.,/
51 -
/
/
/
/
/
I a "-
/
1 i
M
/
A 45 -
i j
,/
I wg.-
e
/
s m
/
W 41 -
/
I' E
/
1
/
e i
t 9
i n-
/
f f
/
/
1 1
31 -
/
,/
i-i f
I l
U~
1.
/
5-e e
I a-
/
/
I at -
/
LEGEND l
wD i
18 -
CLASIX
).
17 -
s
.'. B 8 8.I I 8 910 $ e I t 5 0 3 6 4 9.I e e e.I.e 0 0.I t a f.i 0 0 #.16 e e.I.e e e.I e a e.4 6 g e.I e e 6.I e e e.3 1
i TIME (SECONOSI FIGURE 3
d i
i 440 -
UC 420 -
CLASIX TMD COMPARISON 10,000 LBM/SEC BLONDOWN 403 -
500 BTU /LBM NO ICE 4
300 -
r 2
' - UC 360 -
,~",-
LC 340 -
,/
/
320 -
,/
/
L C 300 -
f'
,/
/
280 -
/'
1
/
260 -
/
f
,/s' k
/
/
e 240 -
/
/
w
/
/
l K
/
f 220 -
/
/
tc
/
/
x
/
/
$ 200 -
f I
/
W
/
180 -
I
/
I j
-r f
160 -
- /
/
/
140 -
/
/
. LEGEND 120 -
//
TMD I
CLASIX l
/
g 100 -
/
i
/
90 8 s 8 i e i s i e e i I a.:
Iieii ::1i iI iaiiiiIae.iiie i i ei ieig,ie
,,,i O
4 8
12 16 20 24 29 32 36
.40
,44 48' 52 56 - 60 i
)
TIME (SECONOS)
FIGURE 4-l l-e
'l.
i
-8 L
x t
~
l*e t
a C5 t
z ra g
w ru i
ow a
- :1 g
J l
1 I
t I
t i
t.
t 1
t
- O t
.t t
m 1
289
\\
o.
s o
\\
N w n m
%,~~ S z
zz oc g
_0 w I
ma g
~
~z n
H mo ma i
_e
%2Em I
g au
-ou g
udE" l
1
-2 os I t
m*
zz a
o~
em t
_m N, 3 1
~
J x
g
-o t
_N mo CO t
as t
uo
~
_a
\\
s.
.e
.,~
i 1
i i
i i
i i
e i
i i
i a
i
-6
_ in r-m --
o N
o e
e r-a m
e e
N o
e.
.e.
7 -
M M
M N
N N
N N
N N
N g
N m
ee i
(VISd) 38nSS3Wd e
1 5
(
FIGURE 5 1
y.
~
CLASIX TMD COMPARISON 360 -
10,000 LBM/SEC BLOWDOWN 1205 BTU /LBM WITH ICE' 340 -
i X --------- LC 320 -
t I
I I
300 -
g I
I 280 -
1 l
l l
260 -
1 l
240 -
Ld i
i f
220 -
t
<c I
E I
'l 202 -
I I
Ld I
180 -
i i
160jlf l
140
--l s________
e',____
120 -
[
LEGEND
/
100 -
TMD 3
/
CLASIX g
80 --
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,g A
0 4
8 12 16 20 24 28 32 36 40 44 48 52 56 60 TIME (SECONDS)
e O
O Z
m ZZ
~
CO
~
U) O
,,_~ t o wX g
_la m
TO E
o$
~
CJ O
- a. Om g J IJ N
~m OU \\U w
U O
UW**U
~
W i
M J
l
~@
O N. g
-e C.
grsm i
0 a
i X N
~e
-O*'
~
(A O CO
_o J*
OO
~
e
.to O U)
~_ n 2 O
U
.~N W
.M V)
'N
-u 0
N
- s N
._ O -
m*
m M
_N~
I 1
-m m
W e
I i
i i
i i
i i
i l
i l
I i
I S
O E
O O
O
'S E
O O
O O
O e
(VISd) 3 MOSS 3Md 1
FIGURE 7
i.
l s,uu -
, ug
/
500 -
,/
/
560 -
/
/
/
Y 540 -
520 -
CLASIX THD COMPARISON 10,000 LOM/SEC BLOHOOWN 500 -
1205 B W/LSH NO ICE 400 -
460 -
440 -
423 -
40-LC l
t 363 -
+
aso -
t e',
&_ 343 -
E 3:3 -
,/
2 I
Q '300 -
o a:
1J w
1 i L
i e g 2w -
j
-j i
~l I
200 -
I
,t 240 -
I i
220 - }
1 200 - i
,i I
i teo -
I i
.1 i iso ~{l1 i l
- ii
.lg c
180 ~
LEGEND i
T MO gro _
l CLASIX l
100 -
90 8tileae6sta6eeelaeeleesis elesale,egaseitfallssieesieeeist34 0
4 e
12 18 20 24 ' 20 32 30. 40 44 48 52 58 - 80 l
TIME (SECONOS)-
FIGURE 8 l
t
.D "
D "D
T Yd.
o 2
1 o
- g. t I
i P$
AI 4
-u
_ _ 4_
~--'
+
-'__3
- -,,4-4.
+
i i
g, y ;-
r.
g1 3,
m
_ _.9_A._. _e -
j
-*__4-.
me g
w 4
e.,
4-:
,a
+
j 4 - -
y i
6--
_.__ 4 2
4
+-
-i -
-$g a
ea i
u w
- M
$=
1 Wg i
l l
1 r
1 o
8 i
I 4
6 Mr -
to
-r p,
g
_4--
- s _
^
1
' ~*.
o t
e l
4 i
o m
'IN PG-1 i
g i
~' L' 5
e v
4 g
q e
x g
4 m
5 I
1015d1 JunSS3Ud % 01 i-l FIGURE 9 8
a M
D"*]D "D T
w o ju o j 2.
m M 4
.-e. wl. 6.
44-.
6.
1
D pq. 41.- 4 M. 6.. b + +. w } e...
.o.
- 4 W+.4.' -l....
.... o o4%.%
4,,
Ip&
3 1.+
44.
,. v.3
++
b. w.o
. W o 4.. c*)
.k
,.+
4.
4iua..... I4 e.
. r
... 6 r.9.. w-.&{., M. 4..r.
.oh 4..p. eh. w.
4 4-4.. w..,,,
o w.+...
gp
.c.
4 a.
..+,
+4~
.. %.w.
,..h y.._,.,.
..... h4 h. m.....
.H,...
..6.-.h y +4.+.44+.......
.w.
4 L
,,.. p4,4
- 4ej,
. we+.
, q c.. w. 4.-
.,+*+-***t*****
- * *. * **+*4*.
- . *t * ** * *-* " b * +. = *. 4. %., e
....M. 4.
4"* 4 m. *...,
e pp
.s..
14.,n.4.....u..
+.
c.
o464.
6.+
b 4 ~.... m
+ * -... +..... 4 + m..
w+
. ~.-
u 3
q
- kH++*+.**.+*.M 6i
.4,.'l.
4 L.
u.....ww.44.-.4 4....4+.,-.+.e,,.4.,a w "4
6+,4.
,, a,64,
.,g 444 6.. g. 4.. w.+.s. 4 4. +++ 4 4..
r
. 1 d,.,.,,,4. b,
. - *-.-s. d.4g.+
. 4
.o.,.GJ.~.t
-, j 44 %w 4
. u.. + i a w.....**+
4+.
. 4,&y
, i4 g. r.. o... p
- 4. g
- p,u. 9 4.,} ~+.p,;,I..t.4...h.i w %
..y w-L.
.+++w+.u.~..-.4 +....
..p.+.
.y
. w
.. 4 4 6 u.
4 u u 4. l. e
,3 o
, 4 6 6 4.e. 4 d i o...,.. _,....,...
1 m.,..
u.. ~.... _.-
e.,
..+J e
w...s.... -
.......I.-..
m
..4
.a.
6.....,....
.6..
v-e-w+..,. m6.-.++ q l +.....* 4 2,....s m. w.u..
o...u 4
6 4,,...
- a. ; ;
- P
....w i
p4
~y
., 4.n.+....e.y44..
, n-
- s q r. &.+
.+..~+w
- . j v 4......w..
w,w+
4.. 4 6..., r.
,,s.,,
6 4..
.. 4..e i v.
..,6t. t.... e....,.
....4
.. g 4..
4 4,.... a
- 44 s.1t. u.
+.3 o
4 or m+.-..4.+..u..4..
9 i
q
..h+
- t.. u,4.... 7,4.,,..,, t. w. y,
...e.
g Q
+1+tt.+..
4
.W
,............u.a.....u
_o %
-4
.. g.. s,
m.y.
s.
,L..
_. %. 4
.u.... m.. _.. ~.... r.-.. *.
., om-5
... a..~.. 3. ~.
..u
~.
._. _ r L..~. u._.
.4.. - u
.a.
.o
., m.y u.u 4
5..
.4... m.,u,.p p. o.,.
- ..~..o.+.o.__,.
- b. -
r r
. u ~. ~i'.... u.+. -
u+
.o
~4
-~
- n J4
- 8. @.
.a
- .^.
~
a.
,t +4 o 4 t.. r. t mr.. _..
- m. a. _.,,
.4._
r
.4.
~
4 m..u, u
91, q.. r.,, o..o..r.u.g.....,..a.
..Ja... a a...m. ro..
~,.&o r. a...
. n
.i 1 o a u.m....ou 8
u.~.-
s
.a m. ~ -
r.e..,4
.,. L.a -
.~.u..
4.
. n.aL
. e.. p69Lw.4. u. >e.u u..
.,..-_u.r
.p 6g
, u u.
+
+
,h y.,
n o u...~..u,a s.~u.-.H..w o.a. ~ 4.
k.u.. -ms..m. r. t. u a + 4.M.
, r..
y J
.a.
...4 4
..w & 4..-.-.. +
W.+
=
m.y a 9 e,;
..e+4 e=
- t...,g m _..: a.
4 4..
4
.u
..,..h u. 41 a, u),.1 wo.J..
. m
. "... r;.n ~.
w..
. -g.
n !. t.,.ut y aA.4.. u
- r..! u.
- s.r. l.tu t o,.u..u..L..
- .:. m; ;... a $
4 u
t m,t.s, c.m..u J
u.o.u n.
-.e a., o. y. L.4.m o g u..
u 2..
e.o t.o..
u
.i
- f.,..,
._, a w.
. u u.n a.o:::m.--.
i
,m a.una~
- u,. s.
e
...,.ay3jnr.m t".i..a rta.4 5.ho. m u.
.- w
!i4
.u.
%.4 u.a r
s o5 i
b( ho+h.
a w.-
u
.. m
..t.a : - -!-
- u: wa T
. y o Jn. a.. u i... $
.. t..._u 6_.+.,u a..
..u..,.u u
._a.u 5
p#..ym.a4._.4, 4.,,.. w m n.u..,
- .o; y..y -. r s 11.e. o a.a.
.u. : : : : e &.a.r. ; :._: -
M4
+.uu.4 3 4,+..
J u+4r
.u 4m.
- 4.,1L.
g4u u
4
. u.s
.ua.-
. t
. s4
- u. o..,1...
u g u a.. u-..rm.,u e
. w
.a+u a.r+
..i o
.t'
.o. L4.~++.a 4 t g.64 n4 a-H,.w' ' %,. w. u1T.*.. i ;.. 4.,m.r g 4
u
+ q.
h.
... ~
r
.4-o4.g y;1.- -
1 pu*
u
- Hi m.1, p. ; - ' ; '
-.u 4.
~ +.u
.g, 4.up+.g e-4 j g g} : 4, 4 -
I
%y e
v e
1 I
A s
A A
R o
S e
e 9
g 5
g w wnwwn i
(
FIGURE 10 i
I l
=
s 0**
'T V 1
- 3 y.I J.i. 4-. 4.-.i..L.A
.,., +
. L 6*
i a 4 44 4
- h
_... L4
..L- -. --- +.4.
+. j - t -
M-
-M i M 2
. %4i'.-
3.. M i
- - -.. + - + - -- - +4-.s-&.-
s.
-+
g.
6L - 4 I
,.&.4-,4. n.. ' _. t -.-t.t. f-.'., +.*.+.-.,.. 4 6. !
- :., c I i
-s
....t v.g : a-.
-4 4 6.io g-b
.-.-4.4+-*-
., p.4
- w, W + -. 9 +->.e.
6.'
t
...t-*:-*-+-+-*-+-M-H.:
. *.4 6 -4 a 4-
. 6-,.m-i
..~
- - 4 9. :
- 44 -,+
. se.g-w 5 -+-m-g.
-s--
.*.e
+,
-,.-t-
.;e--
-, - +
b.
d
- a -*
- tr.
- -t-.
+-.-+-..-t-*-_'*"':-*+*-+t'
-. 4., v y:
.'..-+-+-.-+ - --
.+.,.6.,'
.4.4--..,
.i c.- 4.. *-+. : -
+-,t-,
---*+1 t i W.
, -. - -.. M.
.,,- e... 4. :.
-~
-, i t
+
- -+ -+.t. 4 ;
+.+ 9;-4A.-.--.-+.
+.
. p w.
m
.. - -.a...,-
%+.-.- ~:.
L. :;
- .4 - _'
G.
g g
i.-
4 4-4..,, + :e e
2
- i 4-+-). i j /-
W g
., 54 %.- -
7
-iq.
}-t 6,
9m
.t_v+.-.7
.,-~ ~..,
4 4.,;- t
,...-+-:
-.4-
. 6 e.-o i-.-*-o-a-1
+ e n.
.-+- -.- 6 l.+ :
, t.
_..r...
{.4
.-L.
-+..-.-:
-4.4-. 6 5
, 4.
6.
e
,6..-
-+ '
- I.
> }
+-,
e 4
-.-,.+4+. 4 j w m+ -..
s-.+...-4.-_
- +: :
-+.m 4,-4 i 9 k' gN a
...-.-s
- +
1
- 4. -
- +
g
-33 5 m:..* -
,+.4..
- +.
. 4
..-4
_.. 4 u,.. '
4
.4
,.-.-.-a-6.
- s I -
v cm
.e..$
.-4
.. 4.4 - '. '. :
- +. !
' --j -
' -,.-6-4
.oi ) 4.<6
- 4(
- 4..
4
- L
-4, M-c; ^ ^ --+t.*=4-.-
^.-
.o 7 4.+...
.-.-+--9-.-;
r 1
,4
.{6. -+,. -6.q.4
- +-.
-.. s:
-..-+-p-4.+- '
o'.
6 -.4 64-6', +4 :
1
-..,....i.+a.
f.
-- r-M ru L,4Io.t.g m <
6.+- +. 4-
.... vw' +-.a.4 - - H ! La 4-. a :
..n a a.
i
. s
+
. t.
4 4 A.+;.6,t.+
I. 4-.. N +
H,d
- s:
i i
-4
-F<,
.6
. D.e 6..-
W- @ 6.+4.-.&. t-+. :
- -.4.4.,&.;-+-.9-+- + 4.4 ht +4-W-b+ M+
.-W e- -+
h
-,- +
4-+
- d p.
a.
r.
W-4-L..H.4
.+-4 4-, p..+-.
-. i ; -.
1.*
.w-
-4
.,4
+ 4
.i.$.T. - ~.$,-4>-4 e 4 +
.%.-+: *%-+-e 4.t-t..$..44-e.-+4..4. t-4 W
4+,
3 4-
-o-
- W he..-. t H4 6-
+-+-i-*-.'-+-
- _ - + - + - * -
?
- 6.w..
4-+-.-+l-+-4L' 4, h..- W 4,-.. -
+a-H+u
- + 6 m
-; +-
4
- a-. e :-
-,-.... 44.._.
t
. ^
i
'1 i
- q.v..- p% 4 -
. t-wg.4 4.+- :Q...-p;-
- +e4 y:
-4,.m.-.4_,
4-
- 4. 4
., w
,.I - -
i q
1 2
p+*-*-+-k, e>
8 r"."._..2 i-N _% i+44.* - -.
I_iI^
i i
~'
. +.
g 1
4-i.
l... p-4 q: %,.-,-+-*.
+'
I:
.~ _,..a..
- -.Mc i.' :{-
3 i
I >
.t
.ti.'
N 1-f i '
i-i
- -t-* i K.
I I I I
^ii a
!I I r i-*~iit 1
1 1.
1NH G
i 5
.J I : i_
3 3
6 m
a n
4 1
9 9
5 g
tulGd) MESM "b101 l
I r
6
?
a O
e FIGURE 11 i
L
1 m%
c b.
i O
A c Ju 9
it i s ~
...e-M
-,4-.
o
-4 + t.1 : ' 4
- ~.a
-g
-* t
'*l{! e,- N..
4
- 9..-w-
.*4. ++- F.-
e
.,4 t..+.,-.
4.-
.%. s,,,q w-~
4 -
-4 + _
.4 I
t4
. t -. :
.~
- ..-. m e.~ -._4-
- 1.. 4 *-,4. $ w.... - r. -
_._, o t
+
w.-
~. -. -
4 l
'++a.-
.-g
- ] C.
44.
W.',:
i;~ ~++1
.,- 4 e%++ k -*:.+. 4,,..e[,. 4 4-..~. t,e-+ 4
,., w ut
- - i
,w.,
- w v
- 4. p
<.,.g:-4-.a D..
t * *****"*
O 4
- 4. -
- r _-
.--... m n-,
w 39 ]-
a.,
-+
9
..F.-+ ~.+r I t..s i E..~ :.
-.-.- ~ ~.-
~,
- -.+, m3 :pw
._.4 o
P
-m
+.
,47 ~+
+-.
.,a a w
, 3 6 *. -
'tf ty 1 M *+"* ~ '.
-.-e.-
q M J ~.A.~I.*
1
+ H 4 44.. 2 4 -
..- L 4a
'i-1 ; W** =
l r-1
-p ':
D 7i QeT. M.: 4-..
- t -. n-+ : >
q
- f. j 4
e' 9
8.
},4 W+[ m ++.*..u
+-
,;y
.:4-a m ~ + m... -
- s. +4a
- t
- t**+*-*M++*-***W
- +-.
- p
.g, d
tt p.i;m 7' 4 e m -
2 I
.H4+ %
.-.-t*',
W=
=:;:;u. -
1 4-m
- ~
++g.
- .m 4
u.-
t F W:.. :.la t-h i
O d
- t 4.-M u-,-
i+.
~3, d
1-44 H + 4 4 y-44,
g.
- 2.+,g:~
i... h. f(
u
-j+<..
_p
+p -+t+%+
ti++ M -
M wg
,i m
~&+w}-.er,:
--t-.
-s m 4 E1 -
-+
- 4.
~.
o-m
- 4. t l
rg i
gM.4+
a.
a
..s 4+m
+
k.
..s p*,+,-Q'I!!
L 4
6+ih
+4 i
O
- i..:
2 s.
d
. 4.4
.. Q A
1
-,. Q-.... :- I,t g
'4 iI'I' 4
~
1 i
Q
~'
{ p'**** t+ &*-WM -
-I-1 i:
i i i :i M.-+-H4 1
i i F
,b
' "-*-s+'
i :
i y
,- t
[
,l A - -
- I
.i--.
k t
.I
--.-+-
-w%
n.
g e
s a
R a
a R
3 xj i.n wntww11 l
I i
l I
s l
l FIGURE 12 L