CA14,0261?
AECL-5307
ATOMIC ENERGY # 9 ? ^ L'ENERGIE ATOMIQUEOF CANADA LIMITED ^ £ 9 DU CANADA LIMITEE
LATTICE MEASUREMENTS WITH 37-ELEMENT BRUCE
REACTOR FUEL IN HEAVY WATER MODERATOR:
DETAILED LATTICE CELL PARAMETERS
by
R.E. KAY
Chalk River Nuclear Laboratories
Chalk River, Ontario
June 1976
ATOMIC ENERGY OF CANADA LIMITED
LATTICE MEASUREMENTS WITH 37-ELEMENT BRUCE REACTOR
FUEL IN HEAVY WATER MODERATOR:
DETAILED LATTICE CELL PARAMETERS
by
R.E. Kay
R e a c t o r Phys i cs B ranchChalk R i v e r N u c l e a r L a b o r a t o r i e s
Cha l k R i v e r , O n t a r i oJune 1976
AECL-5307
Mesures de réseau avec le combustible de 37 éléments destiné
aux réacteurs de Bruce où le modérateur est de l'eau lourde:
Paramètres détai l lés des cellules de réacteur
par
R . E . Kay
Résumé
De1" expériences ont été effectuées dans l'ensemble cr i t ique ZED-2pour"déterminer les paramètres de réseaux typiques en diverses positionsdans la cel lu le centrale des réseajx du combustible de 37 éléments duréacteur Bruce où le modérateur est de l'eau lourde. Les mesures ontété effectuées dans le pas de réseau carré de 28.58 cm du réacteur Bruceen u t i l i san t comme caloporteurs de l ' a i r et de l 'eau lourde.
Le présent rapport décri t ces expériences et i l présente les résultatsen fonction des:
répart i t ions détaillées de l ' a c t i v i t é relat ive du cuivre,
rapports re la t i f s d 'ac t i v i té de Tindium-manganèse et du lutétium-manganèse,
paramètres de Westcott r et T , etn
rapports de conversion i n i t i a l e et des rapports de f ission rapide.
Les valeurs expérimentales sont comparses aux résultats des calculsDSM et PU WIMS.
L'Energie Atomique du Canada, LimitéeLaboratoires Nucléaires de Chalk River
Chalk River, Ontario
Juin 1976AËCL-5307
LATTICE MEASUREMENTS WITH 37-ELEMENT BRUCE REACTOR FUEL IN
HEAVY WATER MODERATOR: DETAILED LATTICE CELL PARAMETERS
by
R.E. Ka"
ABSTRACT
Experiments have been performed in the ZED-2 criticalfacility to determine typical lattice parameters atvarious positions in the central cell of lattices of37-element Bruce reactor fuel in heavy water moderator.The measurements were made at the Bruce reactor squarelattice pitch of 28.58 cm using air ;nd heavy water as"coolants".
This report describes these experiments and presentsthe results in terms of:
detailed relative copper activity distributions,indium-manganese and 1utetium-manganese relativeacti vi ty rati os ,the Westcott parameters r and T n , andinitial conversion ratios and fast fission ratios,
Experimental values are compared with the results ofDSN and P1J WIMS calculations.
Reactor Physics BrancnChalk River Nuclear Laboratories
Chalk River, Ontario
June 1976
AECL-5307
TABLE OF CONTENTS
Page
1. INTRODUCTION 1
2. DESCRIPTION OF FUEL, LATTICES AND COOLANTS 2
2.1 Lattice Configurations 22.2 Fuel Assemblies 2
2.3 Demountable Fuel Bundle 3
3. EXPERIMENTS . 5
3.1 Copper Activity Distribution Measurements 53.2 Lutetiurn-Manganese, Indium-Manganese
Activity Measurements 113.3 Relative Conversion Ratio and Fast Fission
Ratio Measurements 164. WIMS EXPERIMENTAL COMPARISONS 26
4.1 General 264 . 2 F a s t F i s s i o n R a t i o , 6 264 . 3 R e l a t i v e C o n v e r s i o n R a t i o , C 274 . 4 R e l a t i v e U 2 35 F i s s i o n Rate D i s t r i b u t i o n 284 . 5 R e l a t i v e Copper A c t i v i t y D i s t r i b u t i o n 284 . 6 L u t e t i u r n - M a n g a n e s e R a t i o s 29
5. SUMMARY 30
6. ACKNOWLEDGEMENTS 31
7. REFERENCES 32
LIST OF TABLES
Table 1 Lattice Data
Table 2 Summary of Normalized Copper Activities
Table 3 Detailed Normalized Copper Activities
Table 4 Foil Relative Activities and Ratios
Table 5 Westcott Spectrum Parameters
Table 6 Values of 5, C, and Relative U 2 3 5 Fission Rates
Table 7 Typical WIMS Specifications
Table 8 WIMS/Experimental Ratios
Table 9 WIMS/Experimental Ratios
LIST OF FIGURES
Fig. 1: Typical Lattice Arrangement in ZED-2
Fig. 2: Cross Section Through 19-Element U Metal Fuel Assembly
Fig. 3: Cross Section Through 37-Element Fuel Assembly
Fig. 4: 37-Element Bruce Fuel Bundle
Fig. 5: Demountable Bundle and Components
Fig. 6: Demountable Package and Components
Fig. 7: Showing Detector Locations
Fig. 8: Sector Foil Cutting Scheme
Fig. 9: Fuel Region Average Copper Activities; Heavy WaterCool ant
Fig. 10: Fuel Region Average Copper Activities; Air Coolant
Fig. 11: Copper Activity Distributions; Heavy Water Coolant
Fig. 12: Copper Activity Distributions; Air Coolant
Fig. 13: Copper Activity Around a Fuel P^n: Heavy Water Coolant
Fi -]. 14: Copper Activity Around a Fuel Pin: Air Coolant
Fig. 15: Arrangement of Uranium Foils
Fig. 16: P(t) Versus Time
LATTICE MEASUREMENTS WITH 37-ELEMENT BRUCE REACTORFUEL IN HEAVY WATER MODERATOR:
DETAILED LATTICE CELL PARAMETERS
by
R.E. Kay
1 . INTRODUCTION
This report describes experiments performed in thecritical facility ZED-2 to determine typical latticeparameters in the central cell of a latt.ce of 37-eiementBruce reactor fuel in heavy water moderator. Measurementsware made at the Bruce reactor square lattice pitch of11.25 inches (28.58 cm) using air and heavy water as"cool ants".
The parameters measured were:detailed relative copper activity distributionsthroughout a lattice cell,indium-manganese and 1utetium-manganese activityratios relative to a thermal reference location,and hence the Westcott spectral indices T n andr/VVinitial conversion ratios and fast fission ratiosthroughout a fuel bundle.This report is complemented by Reference 1 which
describes buckling and related measurements onlattices of Bruce reactor fuel in ZED-2.
Section 4 presents a comparison between the resultsof DSN and P U WIMS calculations and comparable measureddata.
- 2 -
2. DESCRIPTION FOR FUEL, LATTICES AND COOLANTS
2.1 Lattice Configurations
Figure 1 is typical of the lattices used. Usually
they were composed of a central region of 69 assemblies
each containing five 37-element Bruce reactor fuel bundles,
on loan from Ontario Hydro, with either air or heavy
water "coolant"; surrounded by a ring of 28 assemblies
containing 19-element natural uranium metal fuelv ' with
heavy water coolant. This outer ring of fuel was required
to increase system reactivity.
The assembly at the centre of the lattice contained
a special demountable simulation of a Bruce fuel bundle
with two regular Bruce bundles both above and below. All
the detailed activation measurements were made within or
about this demountable bundle.
All fuel assemblies were arranged in a square closed
centered lattice at the Bruce reactor pitch of 28.58 cm
(11.25 inches). For several experiments six fuel assemblies
in the southwest corner of the lattice were removed to
produce a "thermal pit" wherein reference foils associated
with various neutron spectrum parameter measurements could
be irradiated at least 40 cm away from the nearest fuel
assembly.
Details of the actual core configurations, moderator
conditions and coolant used in each experiment are presented
i n Table 1 .
2.2 Fuel Assemblies
A section through one of the twenty-eight 19-element
uranium metal fuelled assemblies used to increase the
reactivity of the lattice is presented in Fig. 2. See
-3-
Reference 2 for details.
Sixty-eight of tho 69 simulated Bruce fuel assemblies
consisted of five 37-eiement Bruce reactor fuel bundles
stacked within concentric aluminum pressure and calandria
tubes. Figure 3 is a cross section through such an
assembly while Figure 4 illustrates a Bruce fuel b u n d l e .
Each fuel element contains a stack of natural uranium
oxide fuel pellets (12.1 mm diameter, density 10.50 g/cm 3)
within a Zircaloy-4 sheath of wall thickness 0.4 mm and
I.D. 12.2 mm. Fuel stack length was about 48 cm; overall
bundle length 49.5 cm.
Eighteen, twelve, six and one fuel elements were
assembled on circles of diameters 8.661 cm, 5.751 c m ,
2.977 cm and 0 cm respectively. A bundle was formed by
welding these 37-elements to two Zircaloy-4 end plate
"spiders"; see Figure 4. Being production fuel these
bundles incorporated such features as dished pellet e n d s ,
fission product gas plenum space, bearing pads etc.
Dimensions of the simulated Bruce pressure-calandria
tube assembly are given in Figure 3. Although both tubes
and end plate were of 1050 aluminum alloy, s u ^ e q u e n t
reactivity measurements on these assemblies^ ' gave higher
than expected neutron absorption properties.
2.3 Demountable Fuel Bundle
The fuel assembly at the centre of the lattice dif-
fered from the other 68 simulated Bruce assemblies only
because the middle (third) Bruce fuel bundle was replaced
by a special demountable simulated Bruce bundle. All
detailed activation measurements were made within or about
this bundle.
Figure 5 illustrates this demountable bundle in a
partially assembled s t a t e , and the various components of a
demountable fuel pin. Each fuel sheath was nominally of
the same material, diameter and wall thickness as that used
in the Bruce fuel. Thirty of the thirty seven fuel
elements contained UO2 pellets to the same material and
dimensional specifications as used in Bruce reactor fuel
(including dished pellet ends etc . ) . These thirty
elements were fitted with welded end caps which incorporated
a screw threaded projection.
The remaining seven elements (A to D3 of Figure 7) could
be completely disassembled to enable foils to be positioned
between fuel pellets. The associated aluminum end caps with
0-ring seal were a watertight push fit into the Zr-4 sheaths.
Although the fuel used in these seven elements was UO2 to
the Bruce fuel specifications, all pellets were flat ended
and of reduced diameter (11.73 m m ) . These reduced diameter
pellets could be packaged, together with foils, within very
thin walled (0.13 mm) 2S aluminum cans of I.D. 11.8 mm,
length about 10 cm. The resulting package illustrated in
Figure 6 was convenient to handle, obviated foil or pellet
jamming problems, and allowed accurate alignment of the
foils with adjacent fuel pellets.
The demountable bundle was assembled from the thirty
welded elements plus the seven demountable elements by
bolting a number of the threaded end caps through aluminum
end plates. These end plates ensured that the positions
of the thirty-seven fuel elements were as in a Bruce fuel
bundle.
-5-
3. EXPERIMENTS
For convenience the various measurements are discussedin three completely separate sections dealing respectivelywith: detailed copper activity distributions throughout alattice cell, detailed In-Mn and Lu-Mn relative activityratio measurements through a cell, and initial conversionratio and fast fission ratio measurements within a fuelbund!e .
3.1 Copper Activity Distribution Measurements
3.1.1 General Description
Figure 1 is typical of the lattices used in this seriesof experiments. The six fuel assemblies associated withthe thermal pit were always present; their removal wouldhave produced unacceptable perturbation of the macroscopicthermal neutron distribution across the core.
In these experiments measurements of detailed copperactivity distributions throughout the various regions ofthe central lattice cell were made using copper foils andwires (see Figure 7 ) . All copper detectors were locatedat about the elevation of the mid height of the demountablefuel bundle well away from bundle ends. Although groups ofdetectors were at slightly different elevations they wereall located within ~30 cm of the peak of the axial cosinethermal flux distribution, and relative height correctionfactors were modest.
Circular copper foils 11.7 mm (0.462 in.) diameter and0.14 mm thick were inserted between UO2 fuel pellets inelements A to D3 and on the outside of the calandria tubein four locations; see Figure 7. To prevent contamination,during irradiation the foils located between fuel pelletswere canned in 0.03 mm thick aluminum foil.
-6-
As illustrated in Figure 7 a sector-shaped copper
foil of thickness 0.13 mm occupied a representative 1/12
of the coolant flow area. After irradiation this sector
was cut into a number of similar size pieces (as in Fig. 8)
and counted together with the various circular foils and
wi res .
Long (-40 mm) copper strips, ~5 mm wide and 0.13 mm
thick were taped around the outside of the sheaths of
several fuel elements. After irradiation each strip was
cut into eleven pieces and counted together with the other
copper detectors.
Detailed activity distributions in the moderator
region of the cell were made using 10 mm long, 0.76 mm
diameter copper wires taped to the three arms of a light
aluminum framework which extended out into the moderator
of the central cell; see Figures 1 and 7. This framework
had arms aligned east, northeast and north-south, which
lay respectively along a line joining two nearest neighbour
fuel assemblies, along a diagonal of the lattice cell, and
along a cell boundary.
Height correction factors were evaluated from a cosine
least squares fit to the data obtained from the activation
of a series of 11.3 mm (0.444 in.) diameter, 0.25 mm thick
circular copper foils spaced at 1.0 cm intervals, suspended
within an aluminum thimble located at cell edge position Q
of Fi gure 1 .
Note that in each experiment the alignment of fuel
elements A to D3, the strips around a fuel element, the
sector foil, the four foils on the calandria tube, and the
aluminum framework, relative to the reactor datum direction
north (see Figures 1 and 7) was Maintained.
-7-
3.1.2 Determination of Copper Foil and Wire Activities
The 12.9 h Cu 6^ gamma ray activity of all the variouscopper detectors was determined using an automatically re-stacking sample changer-counter system utilizing two 51 mmdiameter by 25 mm thick Nal (la) scintillation detectors.To ensure accurate location in the counter and reproducibi1ityof count rate, the various detectors were held in lucitepallets.
The output from the two detectors was recorded on atypewritten sheet, and on paper tape which was later fed toa CDC-6600 computer for data reduction. The computer pro-cessing made numerous checks on count reproducibi1ity,corrected for counter dead time, corrected all results toa common zero time etc., and produced relative specificshape dependent activities A , (and statistical andreproducible counting errors) for a position x in the cell.Sufficient counts were accumulated for each detector togive a statistical accuracy of $0.5%.
3.1.3 Foil and Wire ntercalibrations and Corrections
The various copper detectors had different shapesand hence different neutron flux depression effects, dif-ferent counter sensitivities, etc. Consequently the measuredrelative specific copper activities A v, for the differentdetectors are not exactly consistent. Therefore in separateexperiments several samples of each shape of detector wereirradiated on a rotating wheel located in a "reference"thermal pit region within ZED-2 (see Figure 1 ) , then countedand analyzed as in Section 3.1.2 to produce relative specificactivities A Ri- The previously determined shape dependentspecific activities A , were normalized to the correspondingshape reference activity A R, to produce a consistent set of
-8-
shape corrected specific copper activity data A v , i.e.A
Ax = Ax' / AR"*As mentioned in Section 3.1.1 the various copper
detectors were at different elevations close to thedemountable bundle mid length. Relative height correctionfactors were evaluated from a cosine fit to the copperdistribution of thimble Q; such height corrections were
-9-
The average activity of an individual ring of elements
(A c, A D ) is defined in a similar manner.
A is the average activity of the strip wrapped
around a fuel sheath relative to the average activity of
the fuel region of that element.
The moderator average copper activity A was obtained
by a numerical integration method using the copper data
in the three directions through the moderator.
Based upon counting statistics the error associated
with these normalized activities is < 0 . 4 % for all foils
between fuel pellets, on the calandria tube and at the
cell edge, ~~\% for the coolant average, and -0.6% at the
fuel element sheath. An error in normalized moderator
average activity - 0 . 8 % was obtained.
Looking in detail at the results of each experiment
we observe the very good agreement between activities
measured at nominally identical or very similar cell
locations. For example, the activities of fuel elements
Cl and C 2 , and of Dl, D2 and D3 are in close agreement, as
are the values for the four locations around the calandria
tube, and at the two diametrically opposite cell edge
locations (viz foil in thimble Q and wire on the east
framework). No significant discrepancies or systematic
trends are apparent.
Figures 9 to 12 illustrate bundle average activities
and detailed activities in the moderator region. As expected,
thermal flux gradients are steeper through the heavy water
cooled bundle than the air cooled bundle.
Figures 13 and 14 are polar plots of normalized
activities around the sheath of representative fuel pins.
The circumferential activities clearly illustrate the
-10-
macroscopic thermal flux depression radially through
the bundle. The local perturbing effects cf individual
adjacent fuel elements (i.e. scalloping) is not clearly
discernible within the accuracy of the measurements
(-0.6%) and the limited angular resolution of -30°.
Some of the results indicate slight angular misalignment
of the copper foils.
-11-
.1. 2 Luteti urn-Manganese , Indium-Manganese Activity Measurements
3.2. Method
Integral information on neutron spectrum shape in
the thermal and epithermai energy ranges can be obtained
from Lu-Mn and In-Mn relative activities. This is pos-
sible because of the significantly different thermal and
epithermal cross-section behaviour of these materials:
Lu^76 has a very non-l/v cross-section behaviour in the
thermal energy range, exhibiting a broad absorption
resonance at 0.142 eV; I n 1 1 5 which is a nearly 1/v
absorber at low thermal energies, has a large absorption
resonance at 1.46 eV; Mn55 is essentially a 1/v absorber
up to energies -few eV.
Experimentally, thin In-Al and Lu-Mn-Al alloy foils
were irrad'ated together at various cell locations x and
on a rotating wheel located in the thermal pit reference
position wh?re the neutron spectrum was essentially a
Maxwellian distribution at the physical temperature of the
heavy water moderator. Full details of the experimental
method and method of analysis are presented in Referenceno .
The I n 1 1 6 , M n 5 6 and L u 1 7 7 activities of the foils
were determined and expressed in terms of both relative
reaction rate ratios R, a parameter useful for comparison
with cell calculational schemes such as HAMMER and WIMS,
and the Westcott indices r and T n as used in lattice
recipe codes. These parameters were determined using
the following expressions.
-12-
Gr 5o) Mn
£ r / V V P Grso) M
In
Mn
1)
i [A, /AM ],Lu L Lu' MnJx Mn 2)
where A is the specific activity, x refers to the positionin the lattice cell under study, and P refers to the thermalflux reference position; g for Lu and for In are knownfunctions of the neutron temperature T .
Note that in these expressions allowance is made forthe fact that r/T /T may be non-zero at the referenceposition. Its value there was determined by measuring theCd ratio for thin In-Al foils; (rv is so smal1 thatany uncertainty in this measurement introduces a negligibleerror into the determination of (r/T / T _ ) x - Values of G rs Qfor the various detectors were obtained from Cd ratio measure-ments and were based on the value s = 18.8 for In. G^values were calculated using Hanna's method for thermal self-shielding^ .
3.2.2 Measurements
Figure 1 represents the type of lattice used in these
experiments. Note that the six fuel assemblies in the
southwest corner of the lattice were removed to form a
-13-
"thermai pit" reference spectrum position.
The activation measurements were made using 0.13 mm
thick, 11.7 mm diameter 1% In-Al alloy and 10% Lu-5% Mn-AI
alloy foils. Pairs of these foils canned in 0.03 mm thick
aluminum foil (to prevent contamination), were inserted
between fuel pellets in elements A to D3 (see Figures 6 and 7)
of the demountable bundle, on the north and south faces of
the caiandria tube, in thimble T, and on a rotating wheel
located in the "thermal pit". All foils were located
approximately at the elevation of the mid point of the
demountable bundle.
The Cd ratio for In was measured in the thermal pit
using 11.3 mm diameter, 0.13 mm thick In-Al foils and Cd
and Al boxes with 0.76 mm thick walls.
Relative height corrections were made using the data
obtained from copper foils held within an aluminum thimble
at location Q, Figure 1.
3.2.3 Determination of Foil Activities
All foils were counted using the equipment described
in Section 3.1.2, the data being processed by the CDC-6600
computer to produce relative specific activities.
The 54 minute I n ^ ^ activity was determined by counting
foils for 2 - 3 hours beginning ~1 hour after reactor shut-
down with the counter bias set at -40 keV. The 2.58h M n 5 6
activity of the Lu-Mn-Al foils was determined by counting
for several hours (commencing ~2 hours after reactor shut-
down) with a counter bias of 500 keV to exclude all Lu
acti vi ty.
Two days after irradiation the Lul?7 activity was
determined using a counter bias of -40 keV. The waiting
period ensured the full decay of both the M n 5 6 and the
-14-
3.7 h L u ^ 6 -jsomer activities. A correction was made
for the 2.2 x 1 0 1 0 a L u 1 7 6 activity by counting the foil?
before irradiation.
3.2.4 Foil Intercalibration
The alloy foils used were not uniform so that therelative concentrations of In, Lu and Mn were determinedby irradiating them on a rotating wheel in a thermalcolumn of the high flux reactor NRU, then counting themas described above to determine the relative activitiesof the relevant isotopes.
3.2.5 Experimental Results and Discussion
Table 4 lists foil specific activity ratios relativeto the corresponding ratio at the reference position(i.e. RJ," and Rhu)> a n d individual foil relative activities.Although these activity ratios are readily comparable withcalculable quantities, their significance can be appreciatedmore readily by considering the corresponding Westcottindices listed in Table 5.
The statistical counting error of the individual foilactivities was typically -0.15%. Because the ratios RM
Luand RM contain eight foil activities (including relativesensitivity measurements) the resulting errors in theseratios are ~j^ 0.4%. These errors lead to errors in r/T n/T Qand AT of ~+_ ]% and -+_ 2 ° c respectively.
Although the spectrum parameters of Table 5 and therelative activity ratios of Table 4 show good consistencybetween nominally identical cell locations (e.g. fuelelements Dl and D 3 ) , systematic effects due to the pertur-bation of the macroscopic thermal flux distribution across
-15-
the core by the thermal pit can be detected in theresults of Table 4. Note that the individual foil relativeactivities of Table 4 have been corrected to a constantelevation; the relative height corrections were small (
-16-
3. 3 Relative Conversion Ratio and Fast Fission Ratio Measurements
3.3.1 Method
In a CANDU*type reactor a few percent of all fissions take
place in U 2 3^. The calculable and measurable parameter
related to these fast fissions in U 2 3 8 is the fast fission
ratio g.
5 = [ U 2 3 8 fissions/U 2 3 5 fissions]x
The method used to determine g is described in detail
by Bigham in Reference 5. In this report only a bare
outline of the method is presented.
Thin foils of natural U and depleted U were irradiated
between fuel pellets within the demountable bundle, and the
induced fission product -y-ray activities were determined.
Using the notation of Bigham ' 5 is related to the
gamma ray measurements through the expression,
& = P(t) RT(t) ...3)
where P(t) is a time dependent calibration factor obtained
by irradiating the same foils in a reference neutron flux
where 6 is known from direct fission chamber measurements,
and Ry(t) is a time dependent ratio related to the measured
foil activities as follows:
D -...4)
f 8 N - D
where D = specific activity of the depleted U foil and
N = specific activity of the natural U foil.
* Canada Deuterium Uranium
-17-
,t5)The factors f$ and f8 are as defined by Bighan
+s = T: and fR =
(nQe) 5
where n is the number of atoms per unit mass of uranium,Q is a flux perturbation factor that depends on
the geometrical arrangement of the foils inthe test fuel assembly (see pages 26 - 28 ofreference 5 ) , and
E is the counter efficiency for fission product
Y-rays and includes Y" r ay s self-absorption.
The subscripts 5 and 8 refer to U235 and U238 and super-
scripts u and d to natural and depleted uranium respectively.
The long-term reactivity behaviour of a naturaluranium fuelled reactor is very significantly affected bythe production of fissile Pu 2 3^ formed from neutron capturein U238.
N p239 ^ _ _ ^ pij239^ > N p1 1/2 = 23.5 min ' 1/2
It is therefore important to be able to calculatereliably some parameter related to U^38 captures. Asuitable parameter which is calculable and can be measured,is the relative conversion ratio C where
C = [U 2 3 8 captureb/U23^ fjssions]v[U238 captures/U235 fissions]p
and x and P refer to a fuel location and a thermal referencelocation respectively.
-18-
The experimental technique used to determine C hasbeen described in detail by Tunnicliffe et al in Reference6, and only a brief outline is presented in this report.
Experimentallyi natural uranium metal foils wereirradiated between fuel pellets in the demountable bundle,and on a rotating wheel in the thermal pit referenceposition. The counting technique employed to determinerelative U 2 3^ captures (i.e. Pu 3^ productions) was tomeasure relative N p 2 3 9 decays by the coincidence countingof 106 keV Y-rays and fluorescent X-rays. This coincidencemethod suppresses the counts from interfering fission pro-duct and natural background activities. Relative U 2 3 5
fission product y activities were determined as in the fastfission ratio measurements.
Therefore in terms of the measured quantities therelative conversion ratio
r _ [Np239 coincidence activity]x / [Np2 3 9 coincidence activity]p
[ U t 3 5 fission product act.] x / [U2 3 5 fission product act.] p
3.3.2 Measurements
Note, that these measurements were made at the sametime as the spectrum parameter measurements of Section 3.2.2",therefore the lattice used was that of Fig. 1, with sixassemblies removed to form a "thermal pit" referencespectrum location, and with a set of copper foils at 10 cmintervals within thimble Q.
The activation measurements were made using 0.07 mm thick,natural U metal and 0.12 mm thick depleted uranium metalfoils, both 11.7 mm in diameter. The U 2 35 content of thedepleted U was less than natural by a nominal factor of 20.In each of fuel pins A to D3, foils were arranged in therelative positions illustrated in Fig. 15; note that thenatural U foil was always located opposite the four holes
-19-
in the aluminum can (Fig. 6 ) . Each depleted foil was
wrapped (to prevent contamination and oxidation problems)
and separated from adjacent UO2 fuel pellets by 0.03 mm thick
aluminum "catcher" foils. These thin catcher foils shielded
the depleted foil from fission fragments originating in the
adjacent fuel pellets; they were removed before counting.
The bare natural U metal foil was separated from
adjacent pellets by two pairs of catcher foils. Before
counting,the outer catcher foils (contaminated with fission
fragments originating in adjacent UO2 pellets) were discarded;
the inner catcher foils bearing fission fragments originating
in the U metal foil were retained.
Because the natural U foil was associated with measuring
11^38 capture rates it was important to align this foil with
the adjacent U 0 2 pellets. This alignment was achieved by
eye, observing relative foil and pellet circumferential
edges through the four holes in the aluminum can.
Similar natural foils were irradiated on
a rotating wheel in the "thermal pit" reference spectrum
location. Also on this rotating wheel were Al and Cd covered
natural uranium foils used to determine the Cd ratio for
l|238 captures' , and two 11.5 mm diameter, 0.25 mm thick
fully enriched (93% U 2 3 5 ) 5% U-Al alloy foils used to make
the correction for spurious coincidences arising from fissiort
product (F.P.) - y - r a y s ^ .
Because of the time dependent properties of Ry(t) and
P(t) the ZED-2 irradiation was for a specific time (60 min)
and the time of shutdown was carefully noted.
3.3.3 Determination of Foil Activities
Because the counting equipment used is described in
detail in References 6 and 8, only a brief description will
be given here.
-20-
All foils were counted in an automatically restackingsystem with two Nal (T£) crystals mounted on photomultipliertubes. For fission product (F.P.) y-ray counting, integraldiscrimination at 1.25 MeV was used.
For N p " 9 counting, the two photomul tipl ier outputswere fed to independent linear amplifiers and single channelpulse height analyzers set to cover a peak at ~100 keV(width -30 keV) which contained roughly equal numbers ofunresolved 106 keV y-rays and Pu^39 x-rays with energiesfrom 99 to 118 keV. The latter arise from the internalconversion of y-rays in the Np239 decay. Coincidencesbetween the 106 keV y-rays and the X-rays were determinedby feeding the outputs from the single channel analyzersinto a coincidence circuit with a resolving time of 0.5 ys.
The foils were counted in turn starting from the firstto the last and then in the reverse order. This constitutedone counting cycle in which each sample was counted twice.This method of counting obviated the need for decay cor-rections. Individual count times were 40 s for fissionproduct counting* 200 s for coincidence counting.
3.3.4 Data Analysis
The counting results, recorded on paper tape, were pro-cessed by the CDC-6600 computer using the program ICRAFF toprovide time dependent relative specific F.P. counts andcoincidence counts, corrected for background, dead time,and spurious coincidences. See Ref. 7 for additional featuresof counting and data processing.
Typically the sequence of counting and analysis eventsprogressed as follows .
F.P. and coincidence background count all foils to beused for ~24 hours. Data analyse to produce individual
foil background counts per second.
-21-
Perform ZED-2 irradiation for a specific time (60 min)
and note reactor shutdown time.About ~3h after reactor shutdown begin F.P. counting ofnatural and depleted foils. Count for ~20 hours. Data
analyse by ICRAFF.About 2 days after shutdown (by which time F.P.relative activity has significantly decreased) begincoincidence counting of natural uranium foils (and
enriched foils). Also record F.P. counts to enablethe spurious coincidence correction to be evaluated^ .Count for -72 hours. Data analyse by ICRAFF.
The resulting time-dependent F.P. and coincidencespecific activities were then processed by a CDC-6600 pro-gram FICAL to produce the desired parameters 5 and C. Fordetails rf the stages in this analysis see Ref. 7. A briefstep-by-step explanation is presented below.
The F.P. counting of both the natural and depletedfoils included a small but not insignificant component(typically
-22-
Q, were applied.
The gap correction factor Q = Q5/Qo> was evaluated
using expression 37 and the data of reference 5.Since Q is a function of 6 it was evaluated withinFICAL by an iterative process. Typically Q ~ 1.013to 1.023.
The factor fg was evaluated using the techniques anddata of Reference 5, giving (for a typical foil)
n d Q d e d
fn = -r " -r • -4 = 1-0068 x 1.0000 x 0.9745 = 0.9811O U n U U
n8 Q8 C8
The factor f5 was evaluated^ ' by calculating e^/e^,assuming Q5/Q5 = 1.000, and obtaining njj/nE; by F.P.counting^ ' of several natural and depleted foilsirradiated in a thermal reference location.For typical foils
d nd d
fc = - 7 — • -f = 0-05805 x 1.000 x 0.9745 = 0.05657.n5 Q5 e5
The time dependent factor P(t) was available from(9)previous measurements made by 0kazakiv ' using
identical foil material of the same thickness, inthe form of circular foils 13.0 mm diameter; see
Figure 16.For each foil location A to D3, a value of R and hence6 was evaluated for each counting cycle, using expressions3) and 4 ) . At each location (including fuel and ringaverages) a single weighted mean value of 6 (and associatedstandard deviation) was then evaluated. These values are
1i sted i n Table 6.
At each counting cycle the relative total F.P. activityof each natural foil (Al corrected) was corrected forU238 F.P. activity by multiplying by 1/O+R h to giveU 2 3 5 F.P. activity relative to the thermal referenceposition. In applying this correction it is assumed
-23-
2 38that U F.P. activation at the thermal pit location
was negligible: this is reasonable since the measured
F.P. Cd ratio for U natural foils at this location was
>3O00.
At each location (including fuel and ring averages) a235single weighted mean value of relative U activity
(and associated standard deviation) was then evaluated.
The natural uranium coincidence activity (corrected
for spurious coincidences) of each foil was corrected
for differential 100 keV Y-ray self absorption effects.
Such effects are small, a typical overall variation
in individual foil thickness (mass) of -10% resulting
in a
-24-
3.3.5 Experimental Results and Discussion
Table 6 summarises the results of these experiments.
As might be expected values of 6 are higher and values of
C are lower, for the air cooled cell than for the heavy
water cooled cell, and the U 2 3 5 fission distribution through
the bundle is flatter in the air cooled cell.
Fuel bundle and ring average values of (D-f 5N) and
(fgN-D), and hence 6, were evaluated using the number of
fuel rods of a given type as the weighting factor.
The standard deviation of the weighted mean values of
6 were typically
- 2 5 -
Fue l bund le and r i n g average v a l u e s o f C were o b t a i n e d
u s i n g b u n d l e Cor r i n g ) average v a l u e s o f r e l a t i v e c o i n c i -
dence and f i s s i o n p r o d u c t a c t i v i t i e s , where r e l a t i v e
numbers c f f u e l rods o f a g i v e n t y p e were used as w e i g h t i n g
f a c t o r s .
The s t a n d a r d d e v i a t i o n o f t h e w e i g h t e d mean v a l u e s o f
C was
-26-
4. WIMS EXPERIMENTAL COMPARISONS
4. l General
WIMS calculations were performed using both the
DSN and PIJ options, to obtain values comparable with the
measured parameters of Tables 2, 4 and 6.
These calculations were made using the CRNL version
of WIMS-D2 as of January 1976, with a 69 energy group, 80
nuclide, library tape designated "Winfrith Reel # AEC 331".
The actual cell geometric specification and the isotope
identifiers used are presented in Table 7.
Calculations were performed for the heavy water purity
and temperatures of the corresponding experiments.
Note that the basic experimental measurements are of
real foil relative reaction rates obtained from fr Is
located between slightly undersi ze fuel pellets in 7 elements
of a bundle having normal size fuel in its remaining 30
fuel elements (see Section 2.3 for details). Some of the
analyzed experimental data of Tables 2 to 6 has been cor-
rected for local perturbation effects (viz
-27-
6 W = [U2 3 8fissions/U 2 3 5fissions] x
Table 8 lists DSN and P1J WIMS calculated values of
-28-
235 238The N and a are U and U number densities and
Maxwellian averaged (capture or fission) cross sections
respectively. The cr were evaluated by a computer pro-
gram MAXWIM2, using the 69 energy group cross sections
of the WIMS library tape: -
V c V f = 4-7625 x 10~3 a t 2 9 5 ° A -
Table 8 lists DSN and PIJ WIMS calculated values of
C divided by the corresponding measured quantity of Table
6. There is good agreement between calculated values and
experiment. The -0.7% underprediction in bundle average
C is equivalent to ~+3 mk in reactivity.
2354.4 Relative II Fission Rate Distribution
The WIMS output allows a direct evaluation of the235ratio of U fissions at a location x, to fuel average
Uc D fissions. Table 8 lists WIMS calculated values of
normalized U fission rate, divided by the corresponding
measured quantity of Table 6.
Within the fuel bundle these data (and the corresponding
C u 6 3 data of Table 9) illustrate that the DSN calculations
predict too severe a (thermal) flux depression through the
bundle: the corresponding PIJ data are in excellent agree-
ment with experiment.
4.5 Relative Copper Activity Distribution
Table 9 lists DSN and P1J WIMS calculated values of
normalized Cu absorption rates, divided by the corresponding
measured quantity of Table 2. These data illustrate that
the DSN calculations predict too severe a (thermal) flux
depression throughout the whole cell, while the corresponding
P1J calculated data are in very good agreement with
-29-
experiment.235Within the fuel bundle the copper data and the U
fission rate data of Table 8 are very comparable.
4.6 Lutetiurn-Manganese Ratios
The WIMS calculated 1utetium-manganese ratio is:
I MnJ W [a i /o M 1L m.Lu' m,MnJ
where A are activation rates and the a are Maxweiiianaveraged cross sections at the physical temperature ofthe moderator of the experimental "thermal pit".
V L u ' V M n = 2 6 5 ' 4 a t 2 9 5 ° A
Table 9 lists WIMS calculated R ^ divided by the cor-responding data of Table 4. WIMS-Experimental agreementis very satisfactory. A 0.5% overprediction of fuelaverage R., corresponds to an underestimate in reactivityof only -0.3 mk.
-30-
5. SUMMARY
This report describes experiments performed to determine
typical cell parameters in lattices of 37-element UO- Bruce
reactor fuel. Measurements were made at a single lattice
pitch, namely 11.25 inches square (28.58 c m ) , using heavy
water and air as coolants.
Measurements of relative copper activities were made at
many locations within a fuel bundle and at other locations
in a eel 1.
Integral information on neutron spectrum shape in the
thermal and epithermal energy ranges was obtained from
measurements of relative Lu-Hn and In-Mn activities at
various cell locations. The measurements were expressed in
terms of both foil activity ratios relative to thermal pit
activities (R) and the conventional Westcott indices rv/Tn/TQand T n .
Measurements of the fast fission ratio 6 and relative
conversion ratio C were made within seven elements of the
fuel bundle, using t!.e techniques and methods developed by
Tunnicliffe, Bigham and others. Brief descriptions of these
techniques and the methods of analysis are presented.
WIMS calculations were performed using both the DSN ani
PIJ options. Calculated values of 6, C, Lu-Mn relative235ratios, and copper and U fission distributions are
compared with corresponding experimental data.
-31-
6. ACKNOWLEDGEMENTS
The fuel bundles used in these experiments were loaned
by Ontario Hydro, through the good offices of R.V. Belluz
(Power Projects).
The author wishes to thank the many persons involved
in performing and analyzing the experiments and subsequently
producing this report. In particular to P.D.J. Ferrigan,
E.J. Pleau and D.J. Roberts at the ZED-2 reactor, D. Kettner
and F. Mazzone who assembled the demountable bundle and
supervised the counting, D. Wright who produced the figures
for this document, and G.D. Clark who typed the manuscript.
-32-
7. REFERENCES
1. A. Okazaki, R.T. Jones; "Buckling Measurements ofBruce 37-Element UO2 Fuel Bundles in ZED-2",Atomic Energy of Canada Limited, UnpublishedInternal Report, CRNL-1450 (1976).
2. K.J. Serdula, R.E. Green, "Lattice Measurementswith 19-Element Natural Uranium Metal Assemblies",Atomic Energy of Canada Limited, Report AECL-2516(1965).
3. C.B. Bigham, et al ; "Experimental Effective FissionCross-Sections and Neutron Spectra in a UraniumFuel Rod", Atomic Energy of Canada Limited, ReportAECL-1350 (1961).
4. G.C. Hanna, "The Neutron Flux Perturbation Due to anAbsorbing Foil", Nucl. Sci. Eng. 15, 325, (1963).
5. C.B. Bigham, "Measurements of Fast Fission Ratios inNatural Uranium", Atomic Energy of Canada Limited,Report AECL-2285 (1965).
6. P.R. Tunnicliffe et al , "A Method for the AccurateDetermination of Relative Initial Conversion Ratios",Nucl. Sci. Eng. 15, 268, (1963).
7. P.W. deLange et al , "Experimental Initial Conversionand Fast Fission Ratios for Clusters of Natural Uand UO2 in D2O" , Atomic Energy of Canada Limited,Report AECL-2636 (1966).
8. B.G. Chidley et al , "Initial Conversion Ratios andFast Fission Factors in Heavy Water Natural UraniumLattices Using 19-Element UO2 Fuel Rods", Nucl. Sci.Eng. 17, 47 (1953).
9. A. Okazaki, Private communications.
10. O.R. Askew et al, "A General Description of the LatticeCode WIMS", Journal of B.N.E.S., pp. 564 - 585,October (1966).
rABLE
LATTICE DATA: PITCH 28.58 cm SQUARE
EXPERIMENT
Copper
Activation
Lu/Mn
In/Mn«5,C
COOLANT
/ Ai r
\ HeavyI Water
/ Ai r
< Heavy( Water
DATE
21/4/75
9/4/75
25/3/75
18/3/75
TOTAL NO.FUEL ASSEMBL
97
97
91
91
OFIES TEMP.
21 .51
21 .50
21 .75
21 .83
MODERATOR
°C PURITY ATOM 5
99.711
99.713
99.711
99.712
BUCKLING
>. a V 2
1 .337
1 .192
1 .303
1 .153
DATA*
BV 2
3.07
2.59
3.07
2.69
2 2* N o t e : T h e a are m e a s u r e d v a l u e s in this l a t t i c e . T h e B are a p p r o x i m a t e
v a l u e s only s i n c e they w e r e m e a s u r e d in u n p e r t u r b e d l a t t i c e s ^ * ' .
TABLE 2
SUMMARY OF NORMALIZED COPPER ACTIVITIES
LOCATION
Fuel
Fuel
Fuel
Fuel
Ring C average
Fuel
Fuel
Fuel
Ring D average
Fuel Average
* Sheath
Sheath
Sheath
Sheath
Coolant Average.
Calandria Tube Av.
Cell Edge, Thimble
Moderator Av.
Q
INDEX
AAABAC1
AC2
AC
AD1
A03
AD2ADAf
AS,A
AS,B
AS,C1
AS ,D1
ncool ant
ACT
Aedge
Am
NORMAL
AIR COOLANT
0.824
0.844
0.925
0.930
0.928
1 .108
1 .109
1.114
1.110
1 .000
1 .005
1 .026
1.031
1 .028
1.089
1 .417
2.061
2.024
IZED ACTIVITY
HEAVY WATER COOLANT
0.757
0.794
0.914
0.912
0.913
1.144
1 . 140
1.137
1 .140
i .000
1 .020
1 .028
1 .021
1 .029
1 .108
1 .537
2.143
2.096
* Note, these values are the average activity of the strip around a fuelsheath, relative to the average activity of the fuel of that element.
T A B L E 3
D E T A I L E D N O R M A L I Z E D C O P P E R A C T I V I T I E S
Loca t ion
CT*
M'V
1-1
M
M
M
M
M
M
M .
H
M
M
M
M .
M :
M :
M :
: N
: S
: E
: W
: E
: E
E
E
E
E
E
E
E
E
E
E
E
N-S
N-S
N-S
N-S
Radius(cm)
6.69
6.69
6.69
6.69
6.82
7.37
8.07
9.02
9.99
10.97
11.97
12.97
13.97
15.00
15.99
16.99
17.99
14.53
14.92
15.56
16.42
Normal ized A c t i v i t y
Ai r Cool an t
1.415
1.419
1 .425
1 .408
1 .421
1.557
1 .678
1 .807
1 .895
1.961
2.020
2.052
2.062
2.055
2.030
1 .972
1 .940
2.076
2,092
2.138
2.216
1 Heavy Water
1 .529
1 .544
1 .545
1 .532
1 .548
1 .654
1 .778
1 .892
1 .9842.049
2.106
2.134
2.143
2.152
2.111
2.064
2.004
2.147
2.173
2.220
2.271
Loca t i on
M
M
M
M
M
M
M
M
M
M
M
M
M
M
M
M
M
M
M :
M :
M :
: N-S
. N-S
: N-S
: N-E
: N-E
• N-E
N-E
N-E
N-E
N-E
N-E
N-E
N-E
N-E
N-E
N-E
N-E
N-E
N-E
N-E
N-E
Radius(cm)
17.50
18.71
20.08
6.82
7.28
7.98
3.99
9.97
10.97
11.97
12.97
13.97
14.97
15.97
16.97
17.97
18.95
19.36
20.95
21 .95
22.95
Normali zed A c t i v i t y
A i r Coolant
2.262
2.295
2.314
1 .436
1 .541
1 .669
1 .827
1 .932
2.031
2.097
2.161
2.217
2.256
2.276
2.285
2.3042.321
2.313
2.322
2.289
2.294
Heavv Water Coolant
2.319
2.355
2.352
1 .556
1 .643
1 .783
1 .906
2.012
2.109
2.172
2.233
2.292
2.310
2.351
2.369
2.388
2.365
2.376
2.368
2.362
2.310
* CT - Calandria tube•*" M - Moderator
TABLE 4
FOIL RELATIVE ACTIVITIES AND RATIOS
CELL LOCATION
Element A
Element B
Element Cl
Element C2
Ring C Average
Element Dl
Element D2
Element D3
Ring D Average
Fuel Average
Cdlandria Tube N
Calandria Tube S
Cell Edge,Thimble T
Reference
In
1 .862
1 .897
2.009
2.005
2.007
2.233
2.234
2. 254
2.240
2.099
2.644
2.642
3.480
1 .000
Mn
1 .010
1.036
1 .145
1 .154
1 .149
1 .363
1 .358
1 .371
1 .364
1 .232
1.746
1 .748
2.548
1 .000
AIR C00I
Lu
1 .302
1 .317
1 .41;
1 .437
1 .427
1 .631
1 .633
1 .636
1 .633
1 .506
1 .957
1 .954
2.659
1 .000
ANTRInRMn
1 .843
1 .83c1
1 .754
1 .738
1 .746
1 .638
1 .645
1 .644
1 .642
1 .704
1.514
1.511
1 .366
1 .000
RMn
1 .289
1 .272
1 .237
1 .246
1 .242
1.197
1 .202
1.193
1 .197
1.223
1 .121
1.118
1 .044
1 .000
In
1 ,680
1 . 748
1 .901
1 .904
1 .903
2.218
2.224
2.244
2.229
2.030
2.746
2.771
3.509
1 .000
0.
0.
1 .
1 ,
1 .
1 .
1 .
1 .1 .
1 .
1 .
1 .
2.
1 .
HEAVY
Mn
931
983
1 30
128
129
413
413
423416
240
894
889
581
000
WATER
Lu
1 .200
1 .251
1 .391
1 .398
1 . 395
1 .650
1 .657
1 .669
1 .659
1 .494
2.099
2.080
2.697
1 .000
COOLANT
1
1
1
1
1
1
11
1
1
1
1
1
1
pinRMn
.805
. 779
.683
.688
.685
.570
.574
. 577
.574
.638
.450
.467
.360
.000
1
1
1
1
1
1
1
11
1
1
1
1
1
RLuKMn
.290
.273
.232
.240
.235
. 168
.173
. 173
.171
.206
.108
.101
.045
.000
TABLE 5
WESTCOTT SPECTRUM PARAMETERS
CELL LOCATION
Element A
Element B
Element Cl
Element Cl
Ring C Average
Element Dl
Element D2
Element D3
Ring D Average
Fuel Average
C a l a n d r i a Tube N
C a l a n d r i a Tube S
C e l l Edge,Th imb le T
THERMAL PIT DATA
[ T J p (" TD2O>
Lr/VVP
r
0 .0455
0.0452
0 .0415
0.0405
0 .0410
0.03570.0360
0 .0361
0.0359
0.0389
0 .0298
0 .0297
0 .0221
2 1 . 7 5 ° C
3 . 8 7 x 1 0 " 4
AIR COOLANT
rvT~7T~n o
0.0517
0.051C
0 .0461
0 .0451
0.0456
0 .0390
0.0394
0 .0393
0 .0392
0 .0430
0 .0314
0 .0313
0 .0225
AT*
85
79
68
70
69
55
56
54
55
63
3?
32
11
HEAVY
r
0.0432
0.0421
0 .0375
0.0376
0.0375
0.0321
0.0323
0.0324
0 .0323
0.0354
0.0260
0.0271
0.0215
21,83°C
2 .93 x 1 0 " 4
WATER COOLANT
r/T7T"n o
0 .0490
0.0474
0 .0415
0.0418
0.0417
0 .0346
0.0349
0.0350
0 .0348
0.0387
0 .0273
0.0284
0 .0220
AT *
84
79
65
67
66
46
47
47
47
57
29
27
11
= [T
T A B L E 6
V A L U E S OF i , C , AND R E L A T I V E U 2 3 5 F I S S I O N RATES
CELL LOCATION
Element A
Element B
:1ement Cl
Element C2
ting C Average
Element DlElement D2
Element D3
Ring D Average
:uel Average
THERMAL PIT DATA
TD20
RCci
nf i ssionsRCd
HEAVY
6
0.0768
0.0719
0.0603
0.0581
0.0592
0.0421
0 .04080.0405
0.0411
0.0511
21.83°C
141
3100
WATER COOLANT
C
1 .4936
1 .4681
1 .4296
1 .4212
1 .4254
1 .40001 .39121 .3864
1.3925
1.4138
U 2 3 5 Fissions
0.746
0. 787
0.902
0.913
0.907
1.133
1.1461.162
1.147
1 .000
I
0.0810
0.0770
0.0672
0.0655
0.0664
0.0484
0.04820.0477
0.0481
0.0583
21.75°C
108
- 4700
AIR
1
1
1
1
1
11
1
1
1
COOLANT
C U 2 3 5
. 3909
.3590
.3719
.3535
.3627
.3846
. 3900
.3893
.3880
.3765
Fission
0.814
0.842
0.921
0.933
0.927
1 . 105
1.1101 .120
1.112
1 .000
L WIMS SPECIFICATIONS
-; K1.1 K IS AT * ! . . • a v . - l t . D?0 OOI."HT, ° I J * ' b / ; <
SE ) IF'-i-F. >.
NO?1 JP.1.4 JNR.) IS 37 - 6 35 7 4 J 1NMFSi 33N S F i t T t J J 4
•IMATPRIAL 1? 0•JPF\CT ft
CA5F DATA
I N I T I A T E
1 1 . 1 0 * ' . ' M t > 2 q 4 . a ' ) 0 0 ( l 1 n 0 3 2 0 0 2 / J . ( l ' i 1 / V i i .0 6 0 0 1 0 , n p q J() 7 77>Hg104'- f>lQ U4.H00Oo0O0 4 2»02 ,;»•!) 1 17320 .0 6001 n.' l?'5U077701Q
lu4 i-7>,if) I 0 11)" A T F i i m . 3 t .->
AN'J'I|_U
T A B L E 8
W I M S / E X P E R I M E N T A L R A T I O S
PARAMETER
A
c
u 2 3 5Fission
Rate
COOLANT
AIR
HeavyWater
AIR
HeavyWater
AIR
HeavyWater
RATIO
DSN/Expt.
PIJ/Expt.
DSN/Expt.
PIJ/Expt.
DSN/Expt.
PIJ/Expt.
DSN/Expl.
PIJ/Expt.
DSN/Expt.
PIJ/Expt.
DSN/Expt.
PIJ/Expt.
R I N G A V E R A G E V A L U E SA B C D
1.089 1.060 1.017 0.970
0.967 1.000 0.994 0.966
1.077 1.045 1.017 0.968
0.962 0.983 1.000 0.978
1.000 1.010 0.980 0.994
0.991 1.010 0.982 0.996
1.002 1.001 0.987 0.995
0.994 0.997 0.987 0.995
0.953 0.979 0.995 1.011
1.003 0.989 0.996 1.005
0.974 0.985 0.996 1.006
1.013 1.004 0.997 1.000
FUELAVERAGE
1 .002
0.980
0.999
0.986
0.992
0.993
0.993
0.993
1 .000
1 .000
1 .000
1 .COO
TABLE 9
WIMS/EXPERIMENTAL RATIOS
PARAMETER
C u 6 3
React ionRate
RLu
Mn
COOLANT
Ai r
HeavyWater
Ai r
HeavyWater
RATIO
DSN/Expt.
P U / E x p t .
DSN/Expt.
P I J / E x p t .
DSN/Expt.
P U / E x p t .
DSN/Expt.
P U / E x p t .
RING AVERAGE VALUESA B C D
0 . 9 5 2 0 . 9 7 8 0 . 9 9 8 1 . 0 0 8
0 . 9 9 9 0 . 9 9 4 0 . 9 9 8 1 . 0 0 2
0 . 9 7 3 0 . 9 8 6 0 . 9 9 4 1 . 0 0 7
1 . 0 1 0 1 . 0 0 5 0 . 9 9 5 1 . 0 0 1
1 . 0 1 1 1 . 0 1 3 1 . 0 1 2 1 . 0 0 6
0 . 9 9 5 1 . 0 0 5 1 . 0 0 7 1 . 0 0 3
0 . 9 9 7 0 . 9 9 7 1 . 0 0 0 1 . 0 1 1
0 . 9 8 6 0 . 9 9 1 0 . 9 9 8 1 . 0 0 9
FUELA V .
1 . 0 0 0
1 . 0 0 0
1 . 0 0 0
1 . 0 0 0
1 . 0 0 9
1 . 0 0 4
1 . 0 0 5
1 . 0 0 2
COOLANTA V .
1 . 0 3 3
1 . 0 2 2
1 . 0 3 8
1 . 0 2 5
C . T . -
1 . 0 3 3
1 . 0 1 6
1 . 0 3 4
1 . 0 1 0
1 . 0 0 4
1 . 0 0 0
0 . 9 9 6
0 . 9 9 5
MODERATORA V .
1 . 0 4 0
1 . 0 0 2
1 . 0 4 0
1 . 0 0 2
CELL +
EDGE
1 . 0 1 1
1 . 0 1 3
1 . 0 0 7
1 . 0 0 9
* Calandri a Tube
+ WIMS value is foe radius of 14.29 cm.
O 37" ELEMENT BRUCE U 0 £ FUEL
• 19-ELEMENT U METAL FUEL
ASSEMBLY CONTAININGDEMOUNTABLE BUNDLE
x FOIL THIMBLE
• O O O O O 4
o o o o o o o *o o o o o o o o oo o o o o o o o oo o o O O O0 0 0 0 0 * 0 0 0
THERMALPIT REGION
O O \ O O O 0 O O O
NORTH
ZED" 2CALANDRIA WALL
FIG. I: TYPICAL LATTICEIN ZED-2
ARRANGEMENT
AL SHEATH U-METAL FUEL
I.D.O.D.
1.38 cm1.59cm
DIAMETERDENSITY
1.31 cmI8.93g/cm3
COOLANT SPACE
AL COOLANT TUBE
I.D.O.D.
8.58 cm8. 89 cm
FIG. 2 : CROSS SECTION THROUGH 19-ELEMENTU METAL FUEL ASSEMBLY.
Zr-4 SHEATHI.D. 1.22cmO.D. 1.31 cm
Al PRESSURETUBE ^
I.D. 10.39 cmO.D. 11.02 cm
U02 FUELDIAMETER T.2I cmDENSITY IO.5Og/cm
AIR ANNULUSAl CALANDRIA TUBEID 12.70 cmO.D. 13.34 cm
FIG. 3: CROSS SECTION THROUGH37-ELEMENT FUEL ASSEMBLY
< < < z «
UJ_ loz300
_lUJ
u_
UJo3trm
i-zUJ
Ul_lUJ
I
rO
r̂ID
- 5:DEMOUNTABLE BUNDLE
COMPONENTS
NATURAL URANIUM METALFOIL (BARE)*
DEPLETED(WRAPPED)
ALUMINUM CAN
U02 PELLET
In^AI, Lu-Mn-AI FOILS (WRAPPED)
'CATCHER FOILS NOT ILLUSTRATED
FIG. 6 : DEMOUNTABLE PACKAGE AND COMPONENTS
FOILS BETWEENFUEL PELLETS
CELL CORNER
ALUMINUM
FRAMEWORK
-COPPER WIRE
CELL EDGE
FOIL
FIG- 7: SHOWING DETECTOR LOCATIONS
NORTH
FIG. 8 SECTOR FOIL CUTTING SCHEME
NORMALIZED COPPER ACTIVITY
NORMALIZED COPPER ACTIVITY
JOAD
IUS
n
o-
IM -
*--
a> •
co
ro
Oro
Oro
co
ro
0.80
1.00
1.20
• i i • i i t
>
1°1"
5'8
1
> i* $
1.60
1.40
i i i
AIRC
00ILA
NT
1
WE
RA
GE
(:O
PPEV
ITIES;
P
•n
cm
•n
0193
2
z
NORMALIZED COPPER ACTIVITY
NORMALIZED COPPER ACTIVITY
oo
o o— i —
I
CDm
-o31mCOCO
>JO
as
c:
3 -
ro
OoJO
ro
M
FIG. 13: COPPER ACTIVITYAROUND A FUEL PIN ."HEAVY WATER COOLANT
JTO- —~* r L I
X/
\J>
H
\
\
(TIT•*" LLL
V( /^
wahMA
Ii
V -r \
11
•\ r
1i
•i .̂ ^1 ELEMENT
\
ZED COPi .
7^/y ^~<
X\
\aer
2T0'
90*
270"
0"
^ ^ X X \ M A \ U S
\
mfw
friWfflinliLLJi
1 / / /
7 2SO?
, /X
X' yK
-.) ELEMENT 01 \
T^-^lff-^J/NOHMAUIED COPPEflf-l^.
\vc\ 4 .X180*
FIG. 14. COPPER ACTIVITYA FUEL PIN: AIRCOOLANT
270"
IBO"
FIG. 15: ARRANGEMENT OF URANIUM FOILS
PAIRS OFTHIN ALUMINUMCATCHER FOILS
THIN ALUMINUMCATCHER FOILS
28.5 mm
- BARE NATURALURANIUM FOIL
-DEPLETED URANIUMFOIL WRAPPED INTHIN ALUMINUM
FIG. 16: P(t) VERSUS TIME*
P(t)
1.26
1.22
1.18
1.14
"AFTER A. OKAZAKI
1.10-
55 40 55 §5TIME AFTER SHUTDOWN (UNITS IO3s)
10
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