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ANP-65.txt
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?' ::.:'Wushmgwn '
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.
Page (s) Missing
from
Original Document
e Y TR
e
e
et see
L for effect of 1teratzon o_-theffiésiéh:; _
:i$tr1but10n | L B e
lcnlatlons for the ARE
T'”*Fons for the ABE
dy'af v&rzous reflectors w1th two pr0posed ARE cores -;{'
‘Estimated critical mass of the ARE - S o
_;_:fthm-ccntrol requlrements_and mlscellaneous data :
i ;;Recommendat1on on alternative loading = goRs
- Control-rod. effectiveness and heating - i
React vi_y,coeff1c1ents and kinetic constants i
egrat:on ef nonlinear klnetxc equat1ons G
"ff dr the Cr1t1ca1 Experlment
‘t’of:Numer1calfi'rocedures e
_-catxon of age theory for sharp resonances_g, |
Integratlon of the transpcrt equat1on 1n hydrogeneous;:f-ggf"
reacters SRR - . L : ST ;L: e
"actar w1th absorb1ng 1nterface between cere an b
,_eluhxllty of nran1um in lzthlum hydrox1de
-lf*j iSe1ub111fiY of aranxum in mixtures of‘sodium and.lxthlum
" hydroxides
' Phase equxllbrxa in hydroxlde systems
- Fuel Beccvery and Regrocess1ng ‘,.
edaesw
Exgerxm,_zal pracedare S | o ;« ;}§ S e
Cfirroszen*by outgassed NaF- BeF UF Malt G
£ '._;by pretreated NaF KF UF4 Melt
°m”szen by quflid Metals
e Thermal~canvact19n loops (harps) S R
"7;.” Forceé e“nveetxan (fzgure ezght) loaps.“f:; Chnm e
uwmuzm, AND HEAT-TRAN FER RESEARCH
'Z "Stndy Of Free Convpchnn in
E.'.'1"1.'11::.d Fuel Elements 'ff ;;f 1'* S
o ”a Sodxum Heat-Transfer _oeaficxents Lo
."" _ffBo111ns-L1qu1d Metal Heat Transfer
' Sod1um Hydrox1de Heat Transfer System S |
| .'37 Tbanafer af Momentum and Heat in- Annulx and Nonczrcular D “ 4
.i':f iPhys1ca1 Propernxes ' R -
';Qfleat_cagacxty '
.t iff Sapervxs1on cf_L ad Bxsmuth Centracts | 1
Li i‘d_MetaIs Handhook - e
fletal co-metal seal -
’ Grapkxte-gas seal FESI
.-4.;;f Tkermal Cbndnctxvxty of Steel Wnol and Some Granular Solxds .f :
'““' ’AHE Ffiel System Mock Ups L 73_7 S @ e
” F1aw Téstxng | ‘f ;F 3 B
i ;F&tcafixtxnguxsher and Ext1nguzsher Mater1als Tésts
13 fiETALLURGICAL PROCESSES
M_Fuel Element Fabrxcatxan '
Hechanlcally formed matrix o
- Sintering and bonding a loose powder |
_Hot-rolled clad fuel piate o ' SRR
Eompatlbxlxhy zests of potentlal fuel element materxals-f ..f'-
:‘inf-fl'f._ R .: i . 4-“_ —— f_w - M
LR &
L]
4 S
- :
d b
o
Q.O‘_i_.. T
-
¢
[T XX e
e pmes s A
e Eee e
ks T .
Caeeeeel
*
: %
Caveves
rc waldlng
_ ormde Fuels_;; 531H
m.i;Yklz CYCIGt:en irradiation of fuel capsuleSf?ifff-" o
o Analysxs of xrradxated~fue, capsules o
iquid-Metals In-Pile Experiment
Daterulnutlon uf’Oxygen 1n Sad£§§fw_“. ;
o -J_!' "__'_'” | and Ceszum in Sodlum‘: Rt
:‘ffiifOKYsen in Heiznm and Argan | B
'_ ;_;fH1thTempezgtu§é Reactxan cf Sodxum thh Sadxum Thtraborate 239
_ ' ffiSpecatograph;c Analys:s of So&xum E |
“ _ }'Chem;caI Analysxs of Sod1um R
K **Anaiytxcnl Servxces-_ : B
21, LIST OF REPORTS ISSUEW 2“2
|22, CHART OF THE TECHNICAL onmxzmou OF THE ANP paom:'r . us
-
®
Cieseve
.
Caewee R
e
Y s
,,;__1351e~2;31__§75’
- .iug : frabIja 2 ‘4;_.. ~;7fl
17l1} Table 2. 5:f1“57“
S flectnr Thlckness dS/df;for Four szferent Beactbfsff_ ?aQ*;5f;
"lngalculatlon of keff ‘f?ABE and Uran1um Investment :
| etals
,fii,;~UF4-ln 100 hr at. aoeéc e e
osion of Structural Metals by Pretreated e
Fy in 100 hr et aoe°c e
.;afia, Y{Of Varlous Substances
_ fSummary of Thermal Conduct1v1ty Studles of Granular_ f
_ r anter1ng and Bondxng
Table 2 ____ A:L Recovery of Known Amaunts of Oxygen 1n Sodlum 'f. ”.:h :" E
o Tablefifiez - "_Qxygen in: Unpur1f1ed Argon S E e o i S ; 233 T
':T§b1é129;325ff, 'React1on of Borax with Scdlum RS fl kJ. .? .":T“ff239f‘ e
" Table 20;4fit; ;, Concentrat1on of Mlnor Trace Elements in Sodlum ; N
. e Table 20. 5 'S_I'Summary of Servu:e Analyses
seses
T T R
*
)
ssnees
sanses -
Cé_S~PGWer vs
o _fffsystem CsF UF
'_”fffSyscem PEF, -UF,
““__'_'fmf:NaF BeF UF
_ f? SYsaem KF BbF UF
’ &mmepw w
"':::':'-SYSt.em KF PbF ._UF
- ; System RbF-BeF, -UF,
T SYStem_KFuBeFAflUFAVII
Excess Fuel
e
e
e SR :
Caweses T
srew
U@ LA R : :
Si
~ face Zone nf[304.Sta1nless Steel Aftér 40.hr Ekposure t0 f :ff?f;17fi¢?”:"
Sodxnm,ut 1009°C S ciEE S e
.tUhxdentxflei“phase in Graln Boundary and Withln Graln Sur~{ €f::.‘
*¥flce Zone*o£:316_8ta1nless Steel After 40 hr Exposure ;o'g_:::;3 fi_: 5J-..:fi.
dwmat 1000°C . e
. . Mol __enum. Speclmen Aft.er 100 hl‘ Exposure t.o. S _. G ;
" Sodiwmat1000°C . 139
"" ;prpearance of Thin’ Molybdenum Specxmen After 100 hr Expesure L _ ___. o
& %o Sodxnm 1n_system ontaxnlng 5111con at 10000_ ot ek e
' f¥;fi§;;ii#i Lf,Cémparxson of §'*h_Therma1"Conductxvzty vs'~T%m?¢t!tur°,9fi§
+ - wich Data in the Literature Lt e
Cen§r _ugal Pump Suctmen Baffle
Fig. 1 ,'5[{-L1qu1d Metal Seal for Centrzfugal anp
'+ f.?1£- 12:3 fif<?wo Stage Electromagnetlc Pump f]~' '
. ; Fig. 12. 4?; 'Improved Sealless Pumpxng System3”:: ' -
'Fvge 13 1 EEffeat of Surface Preparatxon on “the Bondxng of Loase Powders
Containing UO to a 316 Stainless Steel Plate et -18_5
:.f.fi.Fig._13;2.. nfilfference in anterxng in Stack af Eleven 316 Stalnless Steel .
IR | Plates with Bonded Pewder : SRR B ' ;86
% ‘Fig;_13;3" Effect of Staznless Steel Part:cle Size on UD, Dzstrxbntlon
”]gf'fl“y“ =-' : .After Cla&dzng by Het Rolllng o : s
rQ;nge}iS,é * Effect of Tron Particle Size on UO Distribution After -
i | T Claddlng by Hot Boll;ng S
R e
. ?fE£§? I3.5‘ Hanuaily Welded Inconel Tube to-Header Thnsxle Test“Paxrgf fw
b
§ i i Figf i3;6 | Cross~Sectxon of Incenel Tube ta~Header Manual Inert Arc Weldiw 194L'T :; ..'&.'
. Fig 137 ,Cxoss Secmon of Inccmel Tube to- Headar Inert. “Cone-Ard’ WeldV- 195
:OQ'OOOCH . =
£
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FY LYY
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se800
o . SR
XX B
o
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PYY Y e
i Flgw 13 8 . Stress«fiupture Testlng Machlnes and Argon Atmosphere Furnaces"ig? .ft3
';:Fxg. 13. 9 ' Atmosphere Furnace and Pull Rod Assemblles for Round Bar on | SRR
' : M;' Sheet Spec1mens e LU S I LRt ..5,-;,193;__ Vi
ok S e
Unlrradxated and Irradlated Globe Iron Samples
ngfl;d Metal In Plle Laop
r051on research (Sec. 10) heth statlc and dynamlc:ffif”
' 7 ;5 pradomxnantly thh thls 11qu1d metal coolant.y Incuuel stlll appears to%IQV"'
ifof£er satzsf&ct”
_ y;reslstanca to both so&1um and fluorxde fuel corrosxone 1 i
'"f7Hawever, :ecentgfmore refined corr0510n tests 1nd1cate that some of the
. fstaxn1ess steels (304, 316 321,.and 34?) may be equally as SatleaCtGFY as
e _f'lflcfine-l thh hflth fluorlde fuel and SOdlumo
These datfl may argua agalnstf‘ ' f
the ultxmate select10n o£ 1nconel fer the alrcraft reactor although it is now
-;_jtspeczfled for the ABEa_ (The Phenomenon of mass transfer in a bxmetalllc;i:'” .
foreactor systems except the mercury«vapor cycl
'-u_ffeasxhle as an alrcraft reactor, “the super10r1ty ef nane 1s"con31dered by the f '”
'5'.Lahoratery to be sufficlently clear cut yet to- warrant 1ntens1Ve develcpment[ 5
fat thxs tlmea .
The persannal employeé on the Axrcraft Nuclear ?ropu131on Prog_'t have::
'7z-ifi' eased 1n number so hnat 1nalud1ng both full tlme and part tlme employees,'gj u-," '
: i f{13 A$°“fi3 Efle“ naféhfl°as T%e E K Fé?g&fiufl»C@-u Knc;%'eflfia@gwnenms, Caruaia&nag-Fuel and erejfffiLJ~
. eulazing-Moderator Reactora,” Al rerafs Nuclear Propulcion Projici Qaa? aray Pragr b Rep@r?far_-,; f-~7-”j-' .
Paris m{mg Harch 10, 1981, wpasm B 308 (ue i, 1951%
__his proJeci
re 1i
L e _né.(c} 12% low,rfipeakanto«“averégef 'f..
_ neutraa leetxme would be sl1ght1y decreased (Sec._zj“ S
3 _-Thescalaulated reactz?xty ef the flrst axperlmental berylllumwuranlum5 fiJn ”
h qu}er1txcal assemhly 1s 0 96 fcr aconfiguratlon whleh ac:ually was Just cr1t1ca1 G
:fx.e., a react1v1ty af 1.00, The rema1n1ng dlscrepancy {0 10} may be 1n the;i'
&at1mated crass sectzen fbr the Bfi(n 2n) reactxon (Secss 2 3 and 9).
P
bt . SR
Giieiee e ;!
Caswees U e L
(a2
.o
Ceeeene
.=._o'fii.i' A L
,.;;igteriils ggseafch'_ __"
_ *8; Snatzc carros1on tests for 160 hr at 800 C on &ypes 304 316 321,' :'.'. &
“ f§and 316 stainless steel and 1nconel by the outgassed NaF-BeF, UF fuel mixture
" resulted in average depths of attack of 2. 5, 1.5 1.0, 2.0, and 5.0 mils,
_respectxvgly.(Sec.,lfl). ' '
'“10. The fellaw1ng thermal capacltxes (in cal/g'°C) have been determ1ned :
zlrcenlum 0.086 fro@_zée to 600 C NaOH 0.44 from 450 to 750°C ! w}j:f
g,,,_;,fi e | :_fif_ o ”*“'=~*.Qfifgfn1ckel A0, 125 from.
300 to 600°C and 0.162 from 800 to , 1000°C; and 316 stainless steel, 0.133 from
'_-[100 to 700°C and 0. 185 fram 900 to 1000°C (Sec. 11). | | c-
ot 11.‘ The thermal coaduct1v1ty of iron measured fram lfiG to 700°C agrflesflj
;,;: .311 (max:mum devaac1on S%) thh pUbllshed data, that of alum1num between_j,"
:rf;ffilflfl and 4BG°C.does not agree well thh the latest 6ata (Sec. 11) Erh
. | 12., A new electranlc weldzng technzque has been develaped far thef
: filfsemxautomatzc weldzng of small d1ameter tublng..The degree of weld penetratlonfif.
fimay be predete:m:ned by cantr&l of geometry,_heat 1nput, and tlme (Sec. 13)
ate& creep speczmen,f The creep rate under 1rrad1at10n gives essent1allyla
lznear curve through the 300 hr of test (SeCe_l4)
15 Tha temperature contours of the ternary fluorlde systems NaF Bef
'UF,, NaF-KF-UF,, NaF-RbF- -UF,, RDF- BeF,~UF,, and NaF-PbF,-UF,, aswell as afsevelai e
iothers, have been‘detERmmfid All of those llsted however possess a meltlng
point below 525°C and therefore may be regarded as- posslble reactor fuelsL ":
._(Sec. 4)
_ Alternative Systems
T i7 As a fesult of thelr analysls of the mercury¢vapor compres
fi w1th a lxquld-metal caoled reactar, Narth Amerlcan_AV1atlcn Inco _ onc1udes;:”"';
i':nuclear .
1 }0£ merc&rya-f“'
18¢_ A reactor uszng a solutxon of uranzum 1n;
f c1rGu1&t1ng fuel and coolant 15 su1tah1e for subsonlc azrcraft propulsxanf
',prevzded corrosxon reslstant contaxner materxal can be found ;accordlng to a
= stndy made hy The H; K. Ferguson Coas Inc, . '
Z:and curscry-];._[
'fevealed any”L f'”
'ffserxous dlff:cultxes;
T """”‘%wwwg%ww d
Progress has heen made 1n the layout of all AHE componentsg whxch has_,:
nceit*of the ARE cbre, reflecter'“ff ;'=*-“““
_'f[ tnb1ng, ceolant tublng,'and other thln walled tublng have been ordered fromf S
’ 1 £&& Supérxor Tube Company : The preasure shell components are on order with _ |
: fthe Lukenweld vaxslon Lukens Steel Company Boron carb1de and beryllxumiif5 ;_'
.”:,5@x1de hexagonal hlocks have haen ordered from the Norton Company stcelw .
'i7§flaaaous sheet, plate,jand bar stock far core components have been ordered from S
'-tfie Tfills Metal Company, an. 1nternat10nal Nxckel dzstrzbutor. ”~f- - - e
._(i) B. V. Schmeder “flesign of the 2flfl—megawact Amrcrafz Reactor,” A;rcraft Nuclear Propulsmn Pro_; ect SR
S Quarterly Progresg Report for Period Ending March 10, 1951, ANP-6G. p. 28 (June 19 1951) R
_ (2) B LE Schroeder, -_“Deslgl wf t.‘ne A1rcraft Beactor Experment " ANP~60 op. ctt p 45 o
o P 4
i ‘:- sgq"_;(_(e;_ S
L SECTION LINE LEGEND
o S R AIATURE -
R welps
o
w Beta},}efl dxsc&ssxon af the gI ass-m& 1 wor!
~ing “ARE Fuel System Mock-Ups.”
'17 7 Water ‘Heot -
‘.. Exchflnfi'r i
R N -
RO ) o
il 4 R
TR
.-‘ L3
: _decreases th__fuel valumj_"_j' '
fihermrod con rol of a more. cone_ j »-f
sqrber rod lS the prevxszcn fcr the hlgh temperature of the reactar and7v'
. 1atIvelY Iarge amount Df heat develape& in the red bY the nuclearf?? ;:u
”wr_ae ions there1n¢ Calculatlans:xfthe heat generated 1n B'C absorber radsff_; j;
"ff;ndzcate that 1t 1s of the order of 160 to 150 watts per centlmeuer (leng h) .,
'eiium caollng Wlll apparently be adequate Same thought has been;; ;f_7i
'f__glven to the'posszble use of cadmzum or hafnlum absorber rods 51nce the heat f;;;
'”fgenerablon in ther wculd be cansxderahly lesse A
jéonfxgurat1on w1ll probably take the form of (1)-a cen‘rally;_:_
:”f‘lecaned safety rod thh apprcxxmately 4%‘Ak/k (2) three Shlm ro&s formxng an ;.1 S
G equll teral trxangle wxbh each vertex one- fourth radlus frcm the center of the;:::' ”
-each rod effectlng approxlmately 3% ék/k uand (3) a regulat;ng rod-?ff*i:
___ately'O_TS_
fwhlch actuates;7
4 gls based an the stabllIzing effec;f”7 u_ S
_the actnatxon of the regula*1n1 :°d 1s.slow ;g_=..--
egulaf;ng rod_f '”
T Le.h1gh temper~ ;:
;reactar dynamxcj ""'
DGSIgp 0f :h :3f;':'"'
'"ifijreactora under barated waher;'after operat"n:at power., Salvage and reusef"""“'” :
'”5 0f fuel and moderatorg but scrapplng of other component""'e planned | Thls 7”'7”fl
| _progress,
ustrate the bu
sMsoRy T
S i i, aabom i+ . i, it e, sk, e’ i, i
B R RTINS R S pity £ SEEE i LRE e EURTA P A R B ; Fegtel TR ——
T cony R_glg_m.
- re |
s
i
ON OF ARE TEST FAGILITY.
5 SEoTION ELEVAT!
'
. F‘iGU RE
REACTOR PHYSICS
evelopment of Numerical Procedures -
“En g? neeri ng Calc lat i;_'dn's f or the : ABE s
_ct of_varlaus reflectors
T _eeh presente& graph1ca1}y1_and have ledfzq the
'that the ABE core be decreased in slze._ The care size may befT
' fzthe present desf
." ;pressute follawxhg”a step change af O 009125 in. reactlvxty of only 6.3 lb/x'fijiT~fi{57
-Thu :1n future deslgns apprecxahly longer fuel tubes can be used e
blang.lncludxng the necéssary,
LS, bout 22 hr to ca
-may be worklng on. several
d;hand camputers to t__"
In the same per1odthe]EM groupj';f?"
3! The IBM productlon 1nc1udesgf1n ad&;txons ?;}'
';are not 1nc1uded 1n the hand computer preductlon;_”f:"
f13510 s;_etc,
Bsacmaa CALCflLAEIGN “:'”"'°' :"hfi':" "'f-f 1fff f- flff£"'Lkil';wir;%a SEEE
'31_ BESIGEAIIQN SOUBGE Assuman» (;_-;;kéf; ;r_ij“,ffig,ék;ff-_n.a_ ;.g;;fA¢?AQk%;i<:.:'-
onoa454f.'
0 00467_--"-_5 SR
- 900 x -3'95-__':;_ | -ffi__ '1-3:02'444-"_;;'
. “H 81&" means the f1ssmn dzst.nhutzon resultxng from caicnlazmn No 814 other nmnbars have -
s&mlar meamng S RTINS _ i SR
. (2} Ths.s is dzscussed ifr more det;all. in the report by N M Snuth Smple Correctmn on Multzp!tcatwn
¥ - Constant for Difference. ‘Between Assumed and. Resultmg Fzsswn Dzstr;butwn in Hulttgroup Calcu—
l&twns‘, - Y*lz Site, Y»Fl() 56 (May 22 1951) :
_. 3 ihis:ia._-ass.efini 1 © s 28 (18) in "-é};;g ‘report by H. Breo
o roup Colculations, .- 1948}, T
IRSE D
Uiy EUEEEEE; 1
QO
S = I
o
e
e
o '(D:-'_ i:: i
@
-
-
&=
2 4 s | 'e o 14 16 18 20 22 24 23 23 30 32
LATTICE POINT—n o
FlGURE 2| F:SSION DlSTRIBUT!ON ON SUCCESSIVE ITERAT!ONS
ey
FREUEE LI
jropey =
35 Euwas
dxasan -
o . ]
" t AehE B 8
5 BEEE SsRYAYLaeR '-j {
PRRRaT AN
14 L Ssesysg TIEs
¥ I AR
Scbory -
4 P g 15 3
g renus
11 |83 : ] P
9 B G T o o . h: . £ e
! I
tn ARG ; ARESE L0
R RaERaRG + SaNING 980
ey RS jamssa0 - RGBS ONY HR R0 oD 4
PREWAGRES | ; BRASY ERBANRNDOT ADNES
‘lem}l Ss8as ons - 1 : ssial
S aa Eaos 44 i TEEHE
: At ! ROans uag
it - -+
8RR 8 53 FRGEE R EARE0 KBRS DB
D T g R pd b
Ay ATt *: T ERE Y SRAH TARES BRI - TELLT -
Tk }%_{}}}_ R OB I Bt B O e Do e
:
15 &
M” FROM eaz, souacs FOR 902 i
it
]
REFLECTOR
i;fli;
@3
=
=
Lo | ' LATTICE PO!NT n S
HGURE 22 I'TERAT!ON FOR CASE OF ASSUMED}{souace*
S in assumlng a flSSl
,Séumed that B : £¥
o determine the g
*are obnalned 5'
.=:B whlch are iiaf *
The best B .»_B 1n thls case xsfif'
A keff lterated of 1 0265 1s thusa?'
H:w;th 1 0266 estzmated from the assumed geoo_
es=0f 1terafied calculatxens,'curves of‘B”-~=B vs;g
:f_éav1ngs curVes. The result is Flg 2 4 g1v1ng B
"reflector core camblnatlons, whlch together w:th Eq 5 f;_¥3’
.m¢may he used to?determlne an ad hoc ccrrectlon to keff for the error 1nvolvedfljf ;h
'-dlstrlbutlon whlch 1s nonldeal
(4) D. K. Holnes, The
12 PHOTO NO.
SGEHE AW P 5D
IBgER 3]
{4 EaavEaRach
TEEIEEEELET
JagaiEanE 3
L5 P ESGAR QR
BRGNS AEPER 00 ¢
i
OF EIGENVALUE
CARGET R NARFUNOGARRY S
XA RIE N
EESU NS AR
UL EANUKE Ve
Frbars
BEST AT
ERRS RS 1A 5
R RAEE Gl B &
Pt
FULTRSHRET T OB
3mN E RN B
BT NN AR 343
3 CORRECTED Keff
IEEEREN
@
[ PS50 THEHN |
CELELELES
48y gaLozuuoonn.
(NS 4B FENa A
T
‘ - _REFLEGTQR GOHPQSH'W?&
Be@
| .-SS
__ tmeam.
as
Nfl L
_.ao_-f:r-:.:':: L
i B I5
—80
| 85
99'719
= 889
5‘2 5\“ .
#4 ARE{5I3 507) -}‘f’fji”,
#2 ARE mm
,_ =w| ARE (509)
, ! _ (5 0| 5...6;)
EH SL8PR
. AUGMENTED R.EFLECTQR 'rm'c]'_:_f:f_ess m"cus - o
FlGURE 24 weaxme cunvr—:s FOR DETERMINATION__ or B“ FOR :_:VARIOUS-_r""
orrections t
v
’ 352f1 04261§,ff’
2.39783
2.4@412?;'. e
'rxcal method pfi f
:'--iuslng the f18$10n:;3-fi
to the;j'
c a l ca‘__._. - o '
valfiévaf -
fha forward values w:re_
lng 1nvest1gated
2 333295j11f_fffi.¢27:fa~”:'
54
cross sect-on“'f"'"",lslthe neutrons per flssxon necessary toi”'”
tate. In ;:.'.he -.n' ”'atlon Of" ANP 58 L
is the normallzeéef1s31on dlstrlbutlon
ithe forward calculatlon ST
the carresponélng quantlty in - the
ad;exnt calculatzau.;g»f_;_;;,_;-
e F‘of mer%“m AL, A=o09762.
(6} l! 3. E;elseu, A Bucusswn of Norualuatwn in IBH Ad]omt Caiculctzons OBNL 1‘{—
Y-FIO*SS (Jtme 26, 1951) S e _ e et i s T
, The curve for the thermal lethargy SYOupi:‘f:'
,gfor group 24,_to w1th1n the 11m1ts of accuracy i
LY, & _ffeleased near the center of the core would he'“_” H
.exp&cteé;to'have a greater probab111ty of undergexng a fzssxonxng abSOrptloaf _
-f than one. reiaased near the ‘core- reflacter 1nterfacec The negat1ve slope of
The functlons;¢? f,
PRI T
SUELITT TR T
i
O2lom
1= nAr
i Aesosiem | )
Hii—caicuLaten | [
.lli 44 5
|BAEHE!
m”u”
<
| SPATIAL DISTRIBUTION
1 ‘t“fi
5
~ FIGURE 2:
.
IR 133+
121
RERSEAT : H
t+
. Ll
N R
K
22801 'ON OLOHA ZLA
{ GROUP 24 — ALSO THERMAL
GROUP AT u=186
e
Ars 2021 CM.
. MUTIPLY ¢ BY AsoBSTe2
-m oa'mm ITERATED FISSION EXPECTA’HGN
“srowe 1ol
HITREEL HFETELL
id0e T ¥
.....
ZEEadia el
4 15 16 17 -.-!S ss 20 at
FIGURE 26 | THE Aoaom"r FUNCTIGN FOR VAR!OUS LETHARGY GROUPS
-SPACE: POINT 12— 089‘?82 70 OBTAN
' feef . THE !TERATED nss:on
! g;':gg RNt *285..,.._... EPECTAION
._ ARE m—-—a
s THERMAL
I[
W f’ a:'é :
. THERMAL GROUP 0 l8 17 l6 5 4 1B 12 1 10 9 e-.;'-‘ T
.. L.ETHARGY, u=ln(IO"/E) T
:i-?:~ FIGURE 2 7 STATISTICAL WEIGHT AS FUNCTION OF LETHARGY maVAmousspAcgpom
| ¢ vs U 3858 —--—wu- :
Hgrvsy avig —— (uummm By m
] MULTIPLY. 4.* _A=0.89762 TO OBTAIN
H THE rrznxn-:n FISSION EXPficTATIDN
AHE, A"’l*3 :._:._: '_
19 ta rr us 5 54- 33 |2 3--|'|'5 'lo 9
Tt fractxan}
“{vel.
f;m.ct«;e_n) |
smmwss
| 7 STEEL
vol.
fract_zen)_'-.fl__' A
jgfffl &2096 L
lif; fffi GEI&G ?3}2f; ’3*
9 9924
| o.0063
| :pé£Es7in”£ €
77_,1& the reflecto
MGHENTED REFLECTGR THlCKNESS lN CMS._
m::30 em. (12 1n._-j
”"ds/az,f_ I
1-gowp |
-i HEFIECTGR _:5'§c;);'5gfr f *(CQ)_:-“; §*1c/Atr)
A':iA.i.-F!l?- EQUAITGN
';'=='i;';?f.;::;z::z;=z=. _
'“ffiwfiflQmefiQ? jm1-ffjmiom}
'-ifx 95317f;’*L;,Ei;g#?ajffl‘_3??’71319913, jf**-*i;01fi£icQ¢zf‘f
fi nh1cknesses of lé cm
fsxmce reflector 512
s Table 2.5 shows
'f;xnxtzal aiape of the
savings can be comput dr.xreccly, ;omrags.;:;g'ahd‘z”lc;'.;~.;fl.
%5:__ar_ref1ector and partlcular thxckuess is equal to. thefirii
: e multlplzcatlen constant.; Bafiector_f-'
n 7are Presentedf{“ F18° 2 11‘ ;
_ 3 _ 01 saturates falrly sharply atjg_ -f H s
| che bottcm ARE reflectcr Ho. 513 saturates at abonbf f
“that the ARE 31dé reflector No. 512 satntates at about7 :f _ S
1nterast1ng feature of the szde reflector is that for'iq]f::"ififi
or less it is mare eff;c:ent for the chazn reactlon than o
__;.:¢the addxtlon af a sxmllar th1ckness cf core. materxal._ Thxs is. understandablei.. s |
_. contaxns app;oxlmately 97% BeG mederator whlle the care'f],*;;v.-.-”=
“”t[;cafitaxns enly 85% moderator,;_ i SuE : TR SO SO e
the effect uf the hlgher moderatar cancentratlnns on thef”s
reflector savzngs‘ The transport mean free- paths Wfire“ ?V_“'**
o T ayeuenTe ReFLECTOR. mm;?ncus St i
FIGURE 2.10 THE REACTIVITY OF GORE 84 OF RADIUS 5053 CM. BACKED BY VARIOUS
e REFLECTQRS OR AOB*TIONAL CORE MATER?AL
_CORES
R THICKNESS IN CMS.
X
Sl
9
e
5
Uy
S L.
-3
gzig
- REFLECTOR
| 6000881 0i67 | 6803] oz0i [ii38] |
. FIGRE 211
e used to estimate the
S -_-"c:oef ; .CIants hs 3
"]constant”‘*- '
A fi:fz.ez:mze