Fundamental. Aspects of. Nuclear Reactor. Fuel Elements. Solutions to Problems
. Donald R. Olander. Department. ~- of Nuclear Engineering. University of ...
\. * TID-267 11-P2
'4
:
'
Fundamental Aspects of Nuclear Reactor Fuel Elements Solutions to Problems
Donald R. Olander Department ~of Nuclear Engineering University of Cacfornia, kerkeley
L7.
1976
NOTICE
lXlhh report was prepared 8s an account of work sponsored by the United States Government. Neither the United States nor the United Stated Energy Research and Dcvelopmnt Administration, nor m y of their employee, nor any of their contractors. subeontrseton. or their employes, mkn any ~v~rrsnty.exprcu or implied. or assumes any legal liability or responsibility for the accur~cy,eompletcneu or usefulness of m y information, apparatus. product or pas disclosed, or represents that its u e would not infnnge privately owned rights.
'
:,
Published by Technical Information Center, Office ofFublic Affairs Energy Research and Development Administration
Ii\
DISTRIBUTION OF ThIS DOlCUMENT IS UNLIMIT D
DISCLAIMER This report was prepared as an account of work sponsored by an agency of the United States Government. Neither the United States Government nor any agency Thereof, nor any of their employees, makes any warranty, express or implied, or assumes any legal liability or responsibility for the accuracy, completeness, or usefulness of any information, apparatus, product, or process disclosed, or represents that its use would not infringe privately owned rights. Reference herein to any specific commercial product, process, or service by trade name, trademark, manufacturer, or otherwise does not necessarily constitute or imply its endorsement, recommendation, or favoring by the United States Government or any agency thereof. The views and opinions of authors expressed herein do not necessarily state or reflect those of the United States Government or any agency thereof.
DISCLAIMER Portions of this document may be illegible in electronic image products. Images are produced from the best available original document.
This book was prepared from the best available copy. - “ A = .
I
Available as TID-26711-P2 for $13.50 (foreign, $16.00) National Technical Information Service U. S. Department of Commerce Springfield, Virginia 22161
>-
ERDA Distribution Category UC-79b Library of Congress Catalog Card Number 76-6485 ISBN 0-8702031-5-(~.2) Printed in the United States of America ERDA Technical Information Center, Oak Ridge, Tennessee April 1976
Index t o P r o b l e m S o l u t i o n s
Prob. #
Page #
Chapter 1
1.1 1.2 1.3 1.4 1.5 1.6 1.7
1 3 5 10
11 16 20
Chapter 2 2.1
22
2.2
26
2.3
29
2.4
31
2.5
33
2.6
40
2.7 2.8
41 42
#
Prob.
Page #
Page #
4.7
71
4.8
73
4.9
76
Chapter 7
4.10
78
7.1
145
4.11
79
7.2
149
7.3
150
7.4
156
81 82
7.5
157
85
Chapter 8
87
8.1
1 58
88
8.2
160
90
8.3
162
92
8.4
165
94
8.5
167
96
8.6
173
Chapter 9 9.1
174
9.2
177
Chapter 5 5.1 5.2 5.3 5.4 5.5 5.6 5.7 5.8 5.9 5.10 5.11
Chapter 3
Prob. #
101 1 03
Chapter 6
6.12
142
3.1
44
6.1
104
9.3
179
3.2
47
6.2
108
9.4
182
3.3
48
6.3
9.5
185
Chapter 4 4.1
50
6.4 6.5 6.6
4.2
52
6.7
4.3
56
6.8
4.4
61
6.9
111 113 119 121 1 23 126 130
4.5
62 67
6.10
140
10.5
204
6.11
141
10.6
-207
4.6
\
-
. . .
.
.
.
. ,
J
*.
L...
. *,
_i
..
,
,
. ., .
,
.
.-. ..
.
. .
. . .
.
., ,
.
.
I
.
,
I~
,
.
... ...' 1
iii
, .
.: :
.
.
a
.
Chapter 10 10.1
186
10.2 10.3
189 194
10.4
200
'
Prob.
#
Page #
Prob. # 17.2
366
10.8
215
14.1
291
17.3
367
10.9
217
14.2
29 8
10.10
220
14.3
306
17.4 17.5
368 372
14.4
309
17.6
375
14.5
312
17.7
376
315 318
17.8
378
11.1
222
14.6
11.2
224
14.7
17.9
379
11.3
227
32%
17.10
381
11.4
229
14.8 lh.9
320c
17.11
382
11.5
2 32
l!I.lO
320e
17.12
386
1.7 - 1 3
388
17.14
390
Chapter 15
12.1
2 35
15.1
321
12.2
15.2 15.3
32 3
12.3
2 39 242
12.4
246
15.4
330
12.5
250
15.5
333
12.6 12.7
255
15.6
338
257a
15.7
341
15.8
34 8
326
3L9a
1.5.9
Chapter 18 18.2
394 398
18.3
399
18.4
40 3
18.5
405
18.1
18.6
408
18.7
18.15
413 414 417 422 426 427 432 433 436
18.16
437
18.17
440
13.1
258
13.2
264
13.3
265
Chapter 1 6
13.4 13.5
269 271
16.1
350
18.10
16.2
354
18.11
13.6
273
16.3
357
18.12
13.7
275
16.4
35 8
18.13
. . . .
283
16.5
360
18.14
13.8
. .. .
13.9
284
13.10
286
. .
.. ..., . . _ .~ ... _ 1
. . . ..
18.8
17.1
362
....... .. ,. . . ... .
.
.
I
.
...... ..
..... .. ...... .
..
I
. . e .
I
.. 1.
. ? . . ._ _
.. , *
.
?
-. . . . . .
A
. ..
18.9
Chapter 17.
. .
I
Page #
Chapter 14
Chapter 13.
-
Page #
210
C h a p t e r .12
, ,
Prob. #
10.7
C h a p t e r 11
.
Index t o Problem S o l u t i o n s
iv
0
Index t o P r o b l e m S o l u t i o n s
Prob.
#
Page #
Page #
Prob. #
Chapter 19
20.11
519
19.1
442
20.12
520
19.2
443
20.13
522
20.14
525
19.3
444
19.4
447
19.5
449
19.6
454
C 21.1
19.7
456
21.2
5 32
19.8
460
21.3
5 35
19.9
463
21.4
5 36
19.10
m 526
465
21.5
538
468
21.6
540
19.12
469
21.7
545
19.13 19.14
471 474
21.8 21.9
548
19.15
479
19.11
*
19.16
481
19.17
485
19.18
487
19.19
488
550
C h a p t e r 20
i
20.1
490
20.2 20.3
494 49 6
20.4
499
20; 5
501
20.6 20.7
51 0 511
20.8
51 4
20.9
5 15 516
20.10
V
...
! '
: i
.
.. . .
I
\
a
. .
. .
.
. . . .
. ..
-.
..-. .
... .
......._..
..
-- .. t
.. .
...... ..
... ...
._ . .
. .. . .. .. ......
.... ... . . 1
.
. ...
.. ... .
. . . . .. . .. . .. ..
.. . .
, 2
3 /
\
. . L
n
5
9
6
... ..~ , . ._ ...
.",
. . ..
..
7
,m .
M-B
,
n
,.
ci
. ,--
9
,
,
\
*
O/
.
//
P -
aM d
m -
I
I
'
k7V
,;.
.
.
..
.._
*
-
N
n
- . . ' .
.
-
. , . .
..
. .
n
c
_ .
I
N=2
N--= 3
.
0
N=4 -
,
, ’
I
IS
,
---1 -h %I&,I --e
0
I
-
.
I -
;.
f
‘.i
.
5
I
.
n
fc
I
.
39
Q
.
an (.E
i-
- - . (it)
=o
I
Q,
=
- \
37
.
.
3 Y
...
/
1
,/’ I
.
CY
.
.
.,
. i .
CUAPITFR 3
.
.
.
.
.
n
I(
!
I
..
r .
...
.
, \;, -
1:
L
I-
.
,'. . ',
.
,:
.
,
., ,
.
n
r
lenglh
.I
9 ,'
i
i
53
'
f
\
>
..
!
!
I!
i i
‘ Z i
..
ri
TI
3 L
iI
h
_-
37
I
. .. . .
. .
. . . . I
_
.. .. . .
. .
. .
. . . .
.. ..
/
i
II
(6)
\
\
'
Q
.
.
. , .
I
.
.
6a
0
,
.,
..
.. .
+.
..
,
E
!
,-.. - . n
Q
/
I
. .
.. .. .
.
4
ClV’
- --I6 a- dfl. dn
.
4 .
\
.
'
I
. .
1
>
.
.
.. ,.
73
-I - - v P
C@P
d2E6
dV“
..
--d2 , -
. dv’:
... b
-
75
simple cubic- lattice
,Y N
i
3
7,
- . volume /at '-
n
77 /
\
.
79
.
- - - c!,
,
-aN
c
n
83
/
:.
/"" =
-
.
.' .
.
87
89
n
V
1
h
n
i9
5 imi lar
N
o, *no, 0
G,,
.,
-
,
,
*-I.__..-
JO3
. ".. . .
.
. .
. ,
.
i
L
,
I
...',
. :
.
. '
e
.,
,
c
i
i
.-
-+
3
I
z fr
z
%
b
t
VI
I
uw
c
I
n
I
n
I
=.aE
9 s la4ion
'
n
1
,
-
0
1
0
4
a. =
d,
=
1
!
\
I
I
n
, .
9
acz
.
.
\
4 '!
n
. .
ET.
(5.41) ;
.
-
.
...
\I
-I=
l U
I
SI= .5
.
r lo,
-I
L
(I!
z m
Y
I
f
Y
m
a
c 2
w
t = '* &
hl
00
z a
> Y
xy1x
W
, I - '
Fu
' L 3
TJJ !I
i
'
n
I&
I I!
4
* Y
.
CE
"1"ei u S
-
t-
I
d
5 w
E
-F :
,
-
7
A???
u
F
T
d
5
\ -9
.
I
(A) - - -
n
,
.
. .
n
/35
(3 '>,.,
i
Q
n
c
I
/33
-
I
.
I
c
.
,.. . f S 4,hQ
3 *? eV
.
a
. .
)
.
. ,
. .
.
,
I
?..,.
..
.
