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CA14,0261? AECL-5307 ATOMIC ENERGY # 9 ? ^ L'ENERGIE ATOMIQUE OF 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
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  • 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

  • The International Standard Serial Number

    ISSN 0067-0367

    has been assigned to this series of reports.

    To identify individual documents in the series

    we have assigned an AECL—number.

    Please refer to the AECL-number when

    requesting additional copies of this document

    from

    Scientific Document Distribution Office

    Atomic Energy of Canada Limited

    Chalk River, Ontario, Canada

    KOJ 1J0

    Price S4.00 per copy

    1160-76


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