A REVIEW OF FISSION PRODUCT PLATEOUT INVESTIGATIONS …
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GA-A14S5S UC-77
A REVIEW OF FISSION PRODUCT PLATEOUT INVESTIGATIONS
AT GENERAL ATOMIC
a by
D. L HANSON
Prepared under Contract EY-76-C-03-0167
Project Agreement No. 17 for the San Francisco Operations Office
Department of Energy
DATE PUBLISHED: DECEMBER 1977
GEI ERAL ATOMIC COMPANY
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NOTICE This report was prepared as an account of work sponsored by the United States Government.
Neither the United States nor the Department of Energy, nor any of their employees, nor any of their contractors, subcontractors, or their employees, makes any warranty, express or implied, or assumes any legal liability or responsibility for the accuracy, completeness or usefulness of any information, apparatus, product or process disclosed, or represents that its use would not infringe privately owned rights.
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DISCLAIMER
This report was prepared as an account of work sponsored by an agency of the United States Government. Neither the United States Government nor any agency Thereof, nor any of their employees, makes any warranty, express or implied, or assumes any legal liability or responsibility for the accuracy, completeness, or usefulness of any information, apparatus, product, or process disclosed, or represents that its use would not infringe privately owned rights. Reference herein to any specific commercial product, process, or service by trade name, trademark, manufacturer, or otherwise does not necessarily constitute or imply its endorsement, recommendation, or favoring by the United States Government or any agency thereof. The views and opinions of authors expressed herein do not necessarily state or reflect those of the United States Government or any agency thereof.
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GA-A14555 UC-77
A REVIEW OF FISSION PRODUCT PLATEOUT INVESTIGATIONS
AT GENERAL ATOMIC
D. L
by
HANSON
- NOTICE -This report was prepared as an account of work sponsored by the United States Government Neither the United States nor the United States Department of Energy, nor any of their employees, nor any of their contractors, subcontractors, or their employees, makes any warranty, express or implied, or assumes any legal liabihty or responsibility for the accuracy, completeness or usefulness of any information, apparatus, product or process disclosed, or represenu thai its uK would not infringe pnvately owned nghts
Prepared under Contract EY-76-C-034)167
Project Agreement No. 17 for ttie San Francisco Operations Office
Department of Energy
GENERAL ATOMIC PROJECT 3224
DATE PUBUSHED: DECEMBER 1977
GENERAL ATOMIC COMPANY If
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FOREWORD
Investigation of fission product plateout has been suggested as an
area for collaborative work under the DOE/BMFT Umbrella Agreement between
the U. S. A. and Germany. This status report on plateout work at GAC is
intended to provide background for planning the joint program.
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ABSTRACT
The status of fission product plateout studies at General Atomic
is reviewed and suggestions are offered for future work. The
deposition, or plateout, of condensible radionuclides in the primary
circuits of gas-cooled reactors affects shielding requirements,
maintenance procedures, and plant availability as well as representing
a significant radiological source and/or sink for certain hypothetical
accidents. Physical models and computer codes used to describe these
plateout phenomena for reactor analysis are presented along with their
limitations and possible refinements. The review includes portions of
the recent AIPA study which sought to quantify the effects of
uncertainties in input parameters on plateout code predictions.
Major emphasis is placed upon the design methods verification program
to assess the validity of plateout predictions by comparison of
calculated behavior with experimental transport data.
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TABLE OF CONTENTS
FOREWORD iii
ABSTRACT v
1. INTRODUCTION 1
1.1 Plateout Under Normal Conditions 1
1.2 Plateout Under Accident Conditions 2
1.3 Analytical Modeling of Plateout 3
1.4 AIPA Assessment of Plateout 4
1.5 Design Methods Verification 4
2. PHYSICAL MODELS OF PLATEOUT PHENOMENA 7
2.1 PAD Code 8
2.2 PADLOC Code 9
2.3 Material Property Data 11
3. AIPA ASSESSMENT OF PLATEOUT 12
4. DESIGN VERIFICATION PROGRAMS 17
4.1 GA Deposition Loop 17
4.2 BMI Deposition Loop 21
4.3 Peach Bottom EOL Program 26
4.4 CPL-2 Test Program 35
4.5 Fort St. Vrain Surveillance 43
5. CONCLUSIONS 45
REFERENCES 47
APPENDIX A . .• A-1
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LIST OF FIGURES
1. Plateout distributions of Sr-90 13
2. Plateout distributions of Cs-137 14
3. Plateout distributions of 1-131 25
4. GA fission product deposition loop 18
5. PAD code simulation of loop No. 1 19
6. PAD code simulation of loop No. 3 20
7. BMI deposition loop schematic 23
8. Distribution of Cs-137 and Te-129 activity in BMI deposition
loop 24
9. Distribution of 1-131 activity in BMI deposition loop 25
10. Isometric of primary coolant system 27
11. Cross section of steam generator 29
12. Cesium profiles in Peach Bottom cold ducts from internal
scans 30
13. Cesium deposition profiles in cold duct 31
14. Axial Cs-137 distribution in steam generator 32
15. Plateout distribution of Cs-137 and Cs-134 in Peach Bottom
HTGR 34
16. Effect of surface sorptivity on cesium plateout distribution . . 36
17. CPL-2 loop schematic 37
18. Heat exchanger - recuperator 40
19. Comparison of calculated and observed Cs-137 plateout profiles
for tube B-31 from CPL 2/1 heat exchanger 41
20. Comparison of calculated and observed 1-131 plateout profiles
for tube B-31 from CPL 2/1 heat exchanger 42
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1. INTRODUCTION
The transport behavior of condensible radionuclides in the primary
coolant circuits of HTRs is a vital aspect of reactor analysis under both
normal and accident conditions. A key aspect of these phenomena is the
deposition, or plateout, of condensible species on the structural surfaces
of the circuit; such accumulation of radioactivity affects shielding re
quirements, maintenance procedures, and plant availability as well as
representing a significant radiological source term for certain hypothe-
tized accidents. Under certain other accident scenarios (e.g., an unre
stricted core heatup event), plateout can be a mitigating factor: fission
products released from the fuel may deposit on reactor internals thereby
reducing the amount released to the containment building and, ultimately,
to the environment. Despite their apparent importance, these plateout
phenomena are not well understood; consequently, there is an on-going
program at General Atomic to characterize these plateout effects.
Generally, the approach has been empirical with the primary objective
of developing engineering tools which can be used for reactor design and
analysis. Much of this work has been reported in piecemeal fashion over
the past decade in a series of papers, articles, and quarterly progress
reports; it is the purpose of this discussion to highlight past, present,
and future plateout work at GAC with particular emphasis given to on-going
experimental programs to verify current design methods.
1.1 Plateout Under Normal Conditions
The coated-particle ceramic fuel used in modern HTRs is highly reten
tive of fission products. However, the vigorous efforts of fuel designers
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notwithstanding, a small fraction of the fission products escapes from the
fuel and is introduced into the helium coolant. Naturally, the primary ob
jective of fission product transport analysis is an accurate prediction of
the total core release of radioactivity under all credible operating modes.
Given the extreme complexity of the task, there is a tendency to consider
the job done when total core releases have been estimated. Indeed, for the
noble gases krypton and xenon, this is essentially the case; however,
for the condensible species (primarily metals, iodine, and tellurium),
the job has just begun. For the engineer designing steam generator shield
ing or planning circulator maintenance procedures, knowledge of the total
core release is of little value. What he needs to know is the expected
contamination levels on a particular component, for example, the circulator.
In other words, the plateout distribution of condensible radioactivity is
required as well as the total amount released. While such concerns are
generic to all HTRs, they are especially signficant for the gas turbine
HTR wherein periodic maintenance of the turbomachinery is required. The
plateout levels will largely determine the feasibility of contact mainten
ance; if remote procedures are necessary, plant operating costs will be
adversely affected.
1.2 Plateout Under Accident Conditions
Likewise, in analysis of hypothesized accident scenarios, there is a
distribution of transient responses (e.g., flow rates, temperature changes,
etc.) throughout the primary circuit which may result in re-distribution
of radioactivity. For example, the design basis depressurization accident
(DBDA) results in transient wall shear stresses in certain locations which
are temporarily higher than those prevailing under normal operation.
Experiments (Ref. 1) have shown that such transients can result in re-
entrainment or "liftoff" of portions of the deposited radioactivity. (While
a detailed discussion of liftoff phenomena is beyond the scope of this
document, plateout and liftoff are intimately related, and both ultimately
must be understood and modeled in reactor analysis.) Since there is
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a distribution of both shear ratios and specific activity throughout the
circuit, a rigorous assessment of the total liftoff requires integration
over all circuit surfaces. In addition to this mechanical "liftoff" of
plateout activity, molecular desorption of radiologically important fission
products like iodine may also occur because of changing conditions in the
circuit.
In the above discussion, plateout was a radiological source, but in
other accidents plateout could be an inportant sink. Despite redundant
engineered safeguards, there is a remote possibility that a loss-of-forced-
circulation (LOFC) accident could precipitate an unrestricted core heatup.
Unless corrective action were taken, the core would eventually release
large quantities of radioactivity. While the decay heat would result in
very high fuel temperatures, other portions of reactor internals would
remain relatively cool and could serve as an important sink for fission
products volatilized from the core. Plateout within the prestressed
concrete reactor vessel (PCRV) could greatly reduce the radioactivity
that escaped into the containment and, subsequently, into the environment.
1.3 Analytical Modeling of Plateout
Clearly then, it is important to model plateout phenomena. Plateout
distribution calculations at GAC are currently performed with the PAD
code, a transient, one-dimensional mass transfer code (Ref. 2). PAD is
a useful tool for modeling normal plant operation, but it is unable to
handle the complex geometry and rapidly changing conditions of a postulated
LOFC event. Furthermore, the numerical solution techniques employed in
PAD are very inefficient. Therefore, a new plateout code PADLOC has
recently been developed at GAC (Ref. 3). Although the physical models
are analogous, PADLOC is able to treat much more complex geometries and
event histories projected for LOFC conditions. Furthermore, through use
of more sophisticated numerical techniques, PADLOC is orders of magnitude
more efficient than PAD. Both codes will be discussed in more detail in
Section 2.
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In parallel with this code development work, laboratory studies have
been performed to generate the associated material property data which
serve as input to the codes. Typically, these differential experiments
are sorption measurements to quantify the ability of structural materials
to sorb volatile fission products. These data will also be reviewed in
Section 2.
1.4 AIPA Assessment of Plateout
For the sake of argument, assume that the physical models incorporated
in PAD and PADLOC are correct. There still persists large uncertainties
in the calculated plateout behavior because of large uncertainties in the
associated input data (core releases, material properties, plant perfor
mance, etc.); the consequence of these uncertainties is increased risk
and/or excessive design conservatism with attendant economic penalties.
This general question regarding the impact of uncertainties has been
addressed probabilistically as part of the Accident Initiation and Progres
sion Analysis (AIPA) program. The primary objective of the AIPA study
is to provide guidance for planning and funding HTGR safety research and
development. Another objective is to consider alternative design options
through use of risk assessment. While AIPA was far-ranging in scope
(attempting to include all credible events having significant radiological
consequences), some valuable insight into the impact of plateout phenomena
was developed (Refs. 4, 5, 6). Pertinent results will be reviewed in
Section 3.
1.5 Design Methods Verification
While the above analytical investigations are useful, they must be
supplemented by experimental verification programs to confirm the correct
ness of the analytical predictions. In fact, such verification is legally re
quired by 10CFR50 (Ref. 7) and ANSI N45.2.11 (Ref. 8). Efforts at GAC to veri
plateout distribution predictions began almost a decade ago with the con
struction of a small out-of-pile deposition loop (Ref. 1). Five loop
experiments were performed to determine the deposition behavior of iodine.
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strontium, and cesium; attempts to correlate these results with PAD code
predictions met with mixed success. Reference 1 also reports on related work
to model plateout distributions in the Battelle Memorial Institute out-of-
pile loop (Ref. 9) and in the Dragon HTR (Ref. 10). In 1975, a comprehen
sive program was initiated to verify all aspects of fission product trans
port under normal plant operation (Ref. 11); the major plateout work under
this DOE-sponsored program is analysis of the deposition profiles measured
in the four CPL-2 in-pile loop tests (performed by CEA in the Pegase
reactor in Cadarache, France). The CPL-2 tests were similar to other
fission product transport experiments in the Pegase facility; namely,
the Idylle 03 test (Ref. 12) sponsored by Dragon and the Saphir tests
(Ref. 13) sponsored by KFA.
Concurrent with this effort, extensive plateout studies are being
performed under the Peach Bottom End-of-Life Program which is jointly
sponsored by DOE and EPRI. After Peach Bottom was shut down for decom
missioning, the distribution of plateout in the primary circuit was deter
mined by a combination of in situ gamma scanning (Ref. 14) and radiochemi
cal analysis of samples destructively removed from the steam generator
tube bundle and coolant ducts (Ref. 15). The measured cesium profiles
were in excellent agreement with those predicted with the PAD code (Ref. 16).
In addition to these on-going programs, a comprehensive fission product
surveillance program is under way at Fort St. Vrain. These operating data
will provide valuable insight into all facets of radionuclide transport.
The most important plateout data are likely to come from the plateout probes
designed to sample the primary coolant both up- and downstream of the steam
generators (Ref. 17). An iodine monitoring system has also been installed
to permit the determination of the circulating iodine inventory. Additional
plateout information will be obtained by gamma scanning and radioassay of
accessible components.
The above work related primarily to plateout under normal operating
conditions. Complementary tests have also been performed to study plateout
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under LOFC conditions. The earliest work involved small-scale, integral
tests to mock-up the reactor internals under LOFC conditions; the results
are reported in Ref. 18 and reviewed in Ref. 5. In one type of test,
irradiated fuel was annealed in an induction furnace to temperatures up
to 2500 C. The fractional release from the mock-up as well as the plateout
distribution within it were determined by radiochemical analysis. In other
tests, a 1/12-scale model of the Fort St. Vrain PCRV was utilized. Since
the mock-ups included simulation of the liner cooling system, considerable
surface area operated at relatively low temperatures; hence, the measured
fractional releases were very low. Recently, a comprehensive test program
has been initiated under the DOE-sponsored HTGR Safety Program to extend
these early results (Ref. 19). The approach will be similar, but the
important variables (flow rates, temperatures, etc.) will be more system
atically investigated. These tests will be used to verify the PADLOC code
for LOFC analysis.
The integral experiments described in the preceeding paragraphs are
in various stages of completion. Some of the more significant tests and
corresponding results will be highlighted in Section 4.
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2. PHYSICAL MODELS OF PLATEOUT PHENOMENA
The transport and deposition of condensible activity from flowing helium
to fixed surfaces is essentially a convective mass transfer problem, and many
mathematical models of the process have been offered. Reference 1 gives
a partial summary. Usually, the deposition process is conceived as a two-
step process: gaseous diffusion to the wall and a wall effect, typically
an adsorption process. The latter step is necessary because experiments
have shown that under some circumstances, surfaces can have a limited capa
city for certain fission product species. In general, either the gaseous
diffusion or the wall effect can be dominant.
Most theoreticians choose to approximate the gaseous diffusion process
by a film resistance analogous to that used for convective heat transfer;
however, a variety of models have been offered for the wall effect. The
earliest work (e.g., Refs. 9, 20, 21) favored a linearized wall coefficient
because it allowed for an analytical solution of the governing equations.
In the simplest of models, molecules are transported from the bulk stream
concentration through a resistance 1/k, where k is a mass transfer coeffi
cient (analogous to a film heat transfer coefficient), to the interface con
centration. From the interface, the molecules go to the surface through a
resistance 1/k , where k is a wall coefficient. This wall coefficient w w
describes the effects of imperfect retention at the wall: k^ equal to
infinity corresponds to a perfect sink condition, and k„ equal to zero
corresponds to no retention at the surface.
The more sophisticated models, including PAD, couple the gaseous dif
fusion process as described by a mass transfer coefficient with an equili
brium sorption process. The assumption is that the kinetics of adsorption
are rapid compared to the gaseous diffusion process. If other than Henrian
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or Langmuir behavior is considered, the equations become non-linear thereby
requiring numerical solutions. Recently, Iniotakis (Ref. 22) has developed
an even more sophisticated model which allows for in-diffusion into the
bulk of the substrate as well as surface adsorption; in his model, the
adsorption model is Henrian, and the adsorption and in-diffusion processes
are not coupled so that an analytic solution is still possible.
Further refinements in modeling plateout phenomena are anticipated in
the future. An obvious extension of the present models would be to couple
the adsorption and in-diffusion processes. In addition, chemical reaction
between the depositing fission product and the surface may well have to be
included to model LOFC plateout, for it has been shown that volatile metal
iodides can form under these conditions (Ref. 23). The physical modeling
done by investigators in the field of heterogeneous catalysis (e.g., Ref. 24)
might be readily extended to account for simultaneous adsorption, in-diffusion,
and chemical reaction. A more difficult task would be to develop models
accounting for the effects of particulate matter (carbon, metallic oxide
scale, etc.) which may be present in the primary coolant of HTRs (Ref. 25)
on fission product transport. A suitable aerosol transport has been
developed at GAC (Ref. 26), but simultaneous molecular and aerosol transport
models have yet to be formulated.
Even more complex transport models might be conceived, but the approach
taken at GAC has been an empirical one. Theoretical model development has
evolved more rapidly than the experimental characterization of the physics
of plateout. Hence, for the present, the obviously simple PAD model will
be retained and tested against experimental data as they become available; if
PAD is unable to correlate these data, then additional sophistication will
be introduced as necessary,
2.1 PAD Code
The PAD code is described in detail in Ref. 2, and its essential fea
tures are reviewed in Appendix A. Briefly, PAD is a transient, one-
dimensional mass transfer codej an explicit finite difference solution is
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obtained for the coupled, non-linear differential equations describing the
conservation of mass with a convective boundary condition. The coolant and
surface concentrations are coupled by an equilibrium adsorption process;
either Langmuir or Freundlich (concentration-dependent) isotherms may be
employed to describe the sorption process. The model allows for production
by precursor decay and treats recirculation in a closed loop. The code
has three options for treating deposition: (1) no sorption (e.g., a
non-adsorbing noble gas); (2) no desorption (the surface is a perfect sink
or, more precisely, the vapor pressure over the surface is zero for all
surface concentrations); and (3) desorption (an adsorption isotherm is
employed such that at a given surface temperature and partial pressure, an
equilibrium surface concentration exists beyond which no further accumula
tion occurs).
The original version of PAD (Ref. 2) did not consider variable cool
ant pressures which occur in a gas turbine HTR. This original version
also encountered numerical stability problems when large desorption pres
sures were calculated. Both of these limitations were removed in the course
of a theoretical investigation of plateout in a gas turbine HTGR (Ref. 27).
The modified code is referred to as PADGT.
2.2 PADLOC Code
The PADLOC code (Ref. 3) is essentially an extended and improved
version of the PAD code. The motivating force behind its development was
the need for an engineering tool to model plateout under LOFC conditions.
Virtually any geometry can be simulated by an arbitrary network of branches
and nodes; PAD is restricted to a network of 12 branches in series. The
other major restriction with PAD is its numerical inefficiency because of
the explicit time integration method employed. PADLOC develops a set of
coupled, non-linear partial differential equations, a pair for each branch
(one for coolant concentration, the other for surface concentration); the
equations are linearized and solved by matrix techniques, and then the
non-linearities are accounted for by iteration. The resultant code is
orders of magnitude more efficient than PAD.
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PADLOC can model very complicated time histories. The major input
variables (sources, flow rates, temperatures, pressure, etc.) are all time-1
and space-dependent. Transport under both forced and free convection are
modeled; correlations for predicting mass transfer coefficients for a
variety of geometries are automatically selected depending upon the flow
regime. Closed branches of the network can be broken at some specified
point in time (e.g., to simulate a pipe rupture or the opening of a relief
valve). Mass flow rates in any branch can not only vary in magnitude but
may also undergo multiple changes in direction. The cross-sectional area
along any branch may vary linearly between specified values at the branch
endpoints.
Sorption behavior is also specified by branch. As with PAD, options
include no sorption, perfect sink, and isotherm-controlled sorption. Three
types of sorption isotherms can be specified: generalized linear, Langmuir,
and Freundlich. The generalized linear isotherm is to be used for conser
vative estimates of sorptive capabilities in the absence of experimental
data: it is assumed that the desorption pressure of the sorbed species is
equal to the fractional coverage (the actual concentration divided by the
saturation, or monolayer, concentration) times the vapor pressure of the
pure species at that temperature; the monolayer concentration will be esti
mated from the molecular dimensions of the adsorbate. This simple model is
analogous to Raoult's law for ideal solutions.
The present version of PADLOC does have several limitations. First,
it only treats a single species; PAD can treat simultaneously five species
including decay chains. The code also does not consider in-diffusion
and/or chemical reaction. The present numerical technique is sufficiently
versatile that it could be extended to the solution of more complicated
differential equations incorporating these additional effects; however,
considerable reprograming would be involved. Further code developments
will await the findings of the experimental programs to characterize fission
product transport. It is emphasized that the objective is development of
engineering tools with demonstrated capabilities for reactor analysis;
empirical models that are physically simple but that correlate the data may
fulfill the need. i
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2.3 Material Property Data
The material property data that serve as input to the present plateout
codes are gaseous diffusivities and sorption isotherms. The gaseous diffu
sivities are used in the estimation of mass transfer coefficients; the
reference diffusivities used for reactor design are derived primarily from
analysis of diffusion tubes from the GAIL IV in-pile loop (Ref. 28).
Gaseous diffusivities along with fluid properties are employed in empirical
correlations to calculate convective mass transfer coefficients. PAD
uses the correlation recommended by Treybal (Ref. 29); PADLOC contains a
library of correlations for mass transfer under forced and free convection
for a variety of geometries. Sorption isotherms are generated in differ
ential laboratory experiments using pseudo-isopiestic and Knudsen cell
techniques (Ref. 30).
The sorption data base is limited. Reference 4 reviewed and synthe
sized the available data for the sorption of iodine, cesium, and strontium
on graphite and of iodine and cesium on metals; other condensible species
are assumed to exhibit "perfect sink" behavior when calculating their plate
out distributions. The sorptivities of metal are especially ill-defined;
however, recent publications have added to the understanding: ORNL studies
of iodine on chromium oxide and magnetite (Ref. 31), and GAC studies of
cesium on Incoloy 800 (Ref. 32). Further iodine work at GAC is planned
under the ERDA Safety Program (Ref. 19), but extensive additional efforts
will be required before the sorptive capacities of pertinent metals for
important fission products are characterized.
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3. AIPA ASSESSMENT OF PLATEOUT
The uncertainties in the plateout distributions of key radionuclides
under normal operating conditions were evaluated in AIPA, Vol. 5 (Ref. 4);
the impact of these uncertainties on occupational exposure rates was ad
dressed in AIPA, Vol. 7 (Ref. 6).
The 40-year plateout distributions of Sr-90, Ag-llOm, Te-131, 1-131,
Cs-137, La-140, and Ce-144 were considered. The study was performed spe
cifically for the 3000-MW(t) Fulton-generation HTGRs (Ref. 33), but the
qualitative results are considered broadly applicable to all thermal HTRs.
The effects of uncertainties in core gaseous release, core metallic release,
gaseous diffusivity, mass transfer coefficient, graphite sorptivity, and
metal sorptivity were determined. Parameter studies were performed with
the PAD code to determine the sensitivity of the plateout distributions
to changes in the above variables. Following a logarithmic transform,
the total variance in specific activity (Ci/cm^) was calculated by the pro
pagation of errors method. Finally, one-sided upper 95% confidence state
ments were made about the specific activity (Ci/cm^) at local points through
out the primary circuit. Typical results are shown in Figs. 1 - 3 : median
and upper 95% distributions as well as the "expected" and "design" distribu
tions are given for Sr-90, Cs-137, and 1-131.
The largest uncertainties are in the distributions of cesium and iodine.
For cesium, the large uncertainty arises from approximately equal contri
butions from core metallic release and metal sorptivityj for iodine, the
metal sorptivity dominates. The uncertainty in strontium and silver plate
out distributions results from uncertainties in the core metallic release
and in the mass transfer process. Cerium and lanthanum uncertainty can
12
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be attributed to core release and to mass transfer while the latter domi
nates for tellurium.
While these results are considered at least qualitatively correct,
i.e., most of the important variables have been identified, they do
suffer a number of limitations. Probably, the most insidious flaw is
that the results are biased by the models and assumptions used to simulate
the transport process. The mass transport model in PAD assumes transport
of atomic species only; HTRs may contain large quantities of circulating
particulate matter. If fission products sorb on this dust, their transport
characteristics will be altered. Since aerosol transport is still an
emerging science, there is little hope of accurately modeling the phenomena
from first principles. All that can be said presently is that the limited
experimental plateout profiles generally indicate molecular transport.
Other areas of modeling difficulties involve the extent to which sorbed
fission products penetrate in the bulk of structural materials. Also
the precise nature of the sorption of iodine on steels is unclear. These
questions will only be solved by additional research -- probably involving
large-scale integral testing.
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4, DESIGN VERIFICATION PROGRAMS
4.1 GA Deposition Loop
The GA deposition loop (Ref. 1) was constructed to study plateout
under conditions approaching those in the evaporator-economizer sections of
an ITTGR steam generator. High pressure helium ('v,20 atm) circulated in
fully developed turbulent flow (Re = '\'12,000) in a closed loop. The loop
was constructed from a 0.93 in. i.d. tube of low alloy steel (T2 - 1/2% Cr,
1/2% Mo). As shown schematically in Fig. 4, the entire loop assembly was
inserted into a high-pressure, high-temperature autoclave. Four large
autoclave heaters were the primary heat source for the assembly; loop sur
face temperatures ranged from a low of about 50 C when a water-cooled
chill block was clamped to portions of the loop tubing to a high of about
500 C when the chill block was omitted.
Deposition of cesium, strontium, and iodine was investigated. Cesium
tagged with Cs-137 and strontium tagged with Sr-85 impregnated on graphite
powder and Pdl2 tagged with 1-131 were used as source materials; the sources
were loaded in porous graphite crucibles. These charged crucibles (typi
cally, five in number) were then placed in an electrical resistance source
heater located centrally in the helium flow path. Evaporation of the source
material from the graphite surfaces into the flowing helium provided a
realistic source of fission product nuclides.
Five experiments were performed; typical results for cesium and iodine
are shown in Figs. 5 and 6, respectively. Because of the chill block,
surface temperatures were low in both experiments (-260 C). Also shown in
the figures are the profiles predicted with the PAD code using reference
17
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TC NO.
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HEATERS
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SOURCE
HEATER
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HELIUM
CHILL BLOCK
100 CM
Fig . 4 GA f i s s i o n product depos i t i on loop (Ref. 1)
18
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sorption isotherms; because of the low temperatures and surface concentra
tions, perfect sink behavior is predicted in both cases -- hence the mono-
tonic decrease in specific activity with increasing distance from source.
Inspection of Fig. 5 shows large discrepancies between the predicted
and measured cesium profiles in Loop 1. The slope of the experimental pro
file over the first 50 cm of tubing is much steeper than predicted, yet
at other locations (see dotted lines) the slope is about as expected. Far
more distressing, however, is the large but unpredicted increase of plate
out levels in the chill section. The cause of this increase is unknown
as is the reason for the abrupt decrease in activity, which occurs about
half-way through the chill. Loop 2, a strontium experiment, gave qualita
tively similar results. As shown in Fig. 6, the 1-131 plateout profile
obtained in Loop 3 is in good agreement with the predicted profile. The
iodine profile is most interesting when compared to the cesium profile
from Loop 1. The operating conditions of these two loops were quite
similar, although Loop 3 did have a 20% higher mass flow rate and slightly
lower surface temperatures ( 20 to 60 C lower). The effect of flow dis
turbers (particularly at the entrance contraction and 90-deg bend at the
apex) seems much less pronounced on the iodine profile compared to the cesium
profile. But more surprising, the chill section seems to have had much
less effect on iodine than on cesium and strontium --a strange effect
indeed since iodine is the most volatile. In Loop 4, another cesium experi
ment, the chill block was eliminated in order to attain higher surface
temperatures (350 to 450 C)• In this case, the measured profile exhibited
the expected perfect sink behavior. The pronounced effect of the chill block
on the deposition of cesium and strontium, but not iodine, has not been
explained.
4.2 BMI Deposition Loop
In the early 1960's, researchers at Battelle Memorial Institute per
formed a series of plateout experiments in an out-of-pile loop; since
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their work was reported in considerable detail (Ref. 9), it provided a
natural validation exercise for the PAD code. Helium at 20 atm was circu
lated in the loop shown schematically in Fig. 7; the basic material of
construction was 0.37 in. i.d. type 316 stainless steel. The source of
radioactivity was a mildly irradiated specimen of coated-particle fuel
which could be heated to 1000 C. Leaving the source chamber, the helium
at about 650 C first traversed a high-temperature isothermal zone, then a
water-cooled section, and finally a low-temperature isothermal section.
The surface temperatures in the chill section were not measured but have
been estimated to range from 575 to 100 C (Ref. 1). The flow was in the
transitional regime with Reynold's numbers ranging from 5000 to 7000 within
the loop. After a period of several days' operation, the loop was disected,
and the plateout distribution determined by gamma counting 'vl/2 in. long
sections of pipe. The radionuclides identified in the pipe scans were
Ce-141 + Ce-144, Ba-La-140, Zr-Nb-95, Ru-103, Cs-137, Te-129, and 1-131.
Typical results for Cs-137, Te-129, and 1-131 are given in Figs^ 8 and
9. In general, the Ce-141 + Ce-144, Ba-La-140, Zr-Nb-95, and Ru-103
profiles resembled the Te-129 profiles. The thin solid lines in the
figures represent the BMI researchers' attempt to correlate the data (Ref.
9), and the other lines represent Hanson's attempt (Ref. 1).
Preliminary parameter studies were performed with the PAD code using ref
erence physical data as a base. Good qualitative agreement was realized
when treating the surface as a perfect sink for Ce-144, Zr-95, Ru-103,
and Te-129 and when employing extrapolated adsorption isotherms for 1-131
and Cs-137. To obtain the proper cesium distribution, it was necessary to
presume that the SS316 surfaces of the BMI loop had a cesium sorptivity
1/333 that of oxidized SS304 for which laboratory sorption data are avail
able (Ref. 34); the assumption is not unreasonable since oxidized SS304
was 80-100 times more sorptive than as-received SS304, and SS316 is more
oxidation resistant than is SS304. The only iodine sorption data available
at the time of analysis (1974) were taken on 1% Cr, 1/4% Mo chromaloy
22
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369 TO 371-72
373 74
404 Swaqelok
Specimen heater
Fig. 7 BMI deposition loop schematic (Ref. 9)
23
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Fig. 8 Distribution of Cs-137 and Te-129 activity in BMI deposition loop (Ref. 9)
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D|QQ - 0.125 cm /sec, '(.8 x 10'5 Atoms of I
TC
1 1 1 1 High - Temperctue Isothermal Zone
Perfect Sink ''^ ^
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Section Number 240 V 280 300 320 340 360 380
Fig. 9. Distribution of 1-131 activity in BMI deposition loop (Ref. 9)
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steel (Ref. 35). Shown in Fig. 9 is a PAD calculation assuming that SS316
had an iodine sorptivity 1/10 of that of chromaloy steel; inspection shows
that the actual SS316 sorptivity must be even less than that assumed, and
that the heat of adsorption (i.e., the temperature dependence) was also
less than assumed. The mass transfer coefficient was also overpredicted
by about 70% using the reference gaseous diffusivities and correlation.
The PAD calculations shown in Figs. 8 and 9 used gaseous diffusivities
1/2.5 times the reference values.
4,3 Peach Bottom EOL Program
Peach Bottom Unit 1 was a 40-MW(e) prototype HTGR owned and operated
by Philadelphia Electric. The two-loop primary coolant circuit, shown sche
matically in Fig. 10, was comprised of a steel reactor vessel, vertical U-
tube steam generators, motor-driven compressors, and interconnecting piping.
After seven years of commercial operation, the reactor was shut down for de
commissioning on October 31, 1974, because of its uneconomically small size.
An End-of-Life Program has been under way since then to evaluate the core
and plant performance in order to verify reference HTGR design methods;
particular attention is being given to fission product transport on the
fuel side and to performance of the Incoloy 800 on the plant side. Consi
derable plateout data have been obtained by a combination of in-situ gamma
scanning (Refs. 14, 16) and radiochemical analysis of destructively removed
samples (Ref. 15).
The plateout distribution of gamma-emitting nuclides in the primary
circuit at end-of-life was determined by in-situ scanning; the work was
performed by IRT Corporation, San Diego, California, under subcontract to
General Atomic. The specific activity was mapped by scanning the accessible
ducting at 11 locations with a Ge(Li) detector and by axially traversing
80 steam generator tubes with travelling CdTe detectors from the water side.
Following destructive removal of trepan samples, a traveling intrinsic
germanium detector was inserted sequentially into two vertical ducts and
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A ORNLXSCANS (EXTERNAL) • IRT/SCANS (EXTERNAL) • SUNTAC TREPANNED SAMPLE
— IRT /SCANS (INTERNAL)
MAIN MOTOR HYDRAULIC COUPLING
PONY MOTOR COOLING BLOWER PONY MOTOR
MAIN HELIUM COMPRESSOR
LOOP 2
L00P1
BURN HOLES FOR SLECTED TUBE SAMPLING
REACTORS VESSEL
COMPRESSOR OUTLET
COMPRESSOR INLET
Fig . 10 I sometr ic of primary coolant system (Ref. 16)
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the plateout mapped along 6-m runs of ducting. Calibration measurements
on mock-ups allowed reduction of the spectra to specific activity.
The external duct scans were straightforward; ORNL had made similar
measurements throughout Core 2 operation (Ref. 36); scan locations are
shown in Fig. 10. Mapping the plateout activity on the tube bundle was
more formidable in that the steam generator tubes, some with a 9.6-mm inside
diameter, had to be traversed to a depth of 6 m (the steam generator cross
section is shown in Fig. 11). A miniaturized, tantalum-shielded, cadmium
telluride semiconductor detector was found acceptable. With access at the
tubesheet, the detector affixed to a coaxial cable was inserted to the bottom
of the U-tube, and spectra were acquired at 0.15-m increments as the detector
was withdrawn remotely. A similar configuration for transporting the ger
manium detector was used for the internal duct scans.
The dominant gamma-emitting nuclides were Cs-137 and Cs-134; their
distributions were similar. Radioassay of the destructively removed samples
confirmed the specific cesium activities determined by the in-situ scanning;
Sr-90 was also measured but the specific strontium activity was about
1/1000 that of cesium. Neutron activation analysis of leach solutions
failed to detect any 1-129 or Te-126. The internal scans (Fig. 12) revealed
little local structure to the plateout over the 6-m length of ducting
traversed, only a gradual decrease in specific activity in the direction of
coolant flow. Along the 110-m run of ducting from the steam generator
exit back to the reactor vessel, the specific activity was more variable
but the trend was the same (Fig. 13). In the steam generator, a signifi
cant entrance effect was observed in the superheater section; the activity
was highest where the inlet jet impinged and lowest at the ends of the bundle
despite the presence of a flow baffle; the effect damped out with penetra
tion into the bundle, and the axial profile was uniform at the economizer
exit (Fig. 14). When the axial profiles are averaged, the specific activity
decreased monotonically across the tube bundle.
28
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72 IN. LD.
ZS FT. -4 IN. ECONOMIZER INLET TUBES
SHELL DRAIN - 9 0 :N. LO.
Fig. 11 Cross section of steam generator
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4.0
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Distance below Location I-10 (m)
Fig, 12 Cesium profiles in Peach Bottom cold ducts from internal scans (Ref. 16)
30
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10 -5
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Fig. 13 Cesium deposition profiles in cold duct (Ref. 16)
31
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1 10.0 9.0 8.0 7.0 6.0 5.0 4.0
Specific Activity (/* Ci/cm^)
3.0 2.0
Fig. 14 Axial Cs-137 distribution in steam generator (Ref. 16)
32
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The complete experimental and predicted cesium plateout distributions
are compared in Fig. 15, the format of which is the PAD code representation
of the Peach Bottom primary circuit; all the IRT data are displayed therein --
the collapsed steam generator data along with the duct scans. The specific
activity is plotted as a function of fractional cumulative surface area.
(Note that the abscissa is drawn to scale within a given section but differs
from one section to another.) Two PAD calculations are shown: (1) mass
transfer control (i.e., the surfaces are perfect sinks for cesium), and (2)
sorptivity control. In both cases, the time-average core release rate of
cesium was adjusted so that the predicted specific activity at the evaporator
inlet (shell side) was approximately equal to the measured value (^ yCi/cm^).
Since the decay of Xe-137 produced negligible amounts of Cs-137 compared to
the directly released component, the relative distributions shown in Fig. 15
apply equally well to Cs-134 which has no gaseous precursor.
Inspection of Fig. 15 indicates that the mass transfer control, or
perfect sink, case (solid lines) resulted in good agreement everywhere ex
cept in the hot duct leading from the reactor vessel to the steam generator.
Here the specific cesium activity is overpredicted by an order of magnitude.
Since the flow geometry is simple (a circular duct), prediction of the mass
transfer coefficient should be reasonably accurate. Thus, the logical con
clusion is that the deposition process in the hot duct is not limited by
mass transfer effects but rather by the high surface temperature.
Once again, the major difficulty is choice of appropriate sorption iso
therms to describe the cesium sorptive capacity of the surface. The hot
duct cladding was constructed of SS304 for which sorption data are available
(Ref. 34). For SS304, the oxidation state of the surface has a profound
effect with preoxidation favoring increased sorption. Another complication
was that all exposed surfaces in the primary circuit were covered with a car
bonaceous deposit produced by cracking of lubricating oil which had leaked
into the primary circuit (Ref. 37). This carbon deposit was possibly a
significant sink for cesium. Conceivably then, the plateout surfaces may
33
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10 -4
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IRT DATA AS OF 7/1/76
Perfect Sink
Sorptivity Control
Loop I: Filled
Loop 2: open
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Fraction of Accumulated Surface Area
Fig . 15 P la teou t d i s t r i b u t i o n of Cs-137 and Cs-134 in Peach Bottom HTGR (Ref. 16)
34
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be more appropriately characterized as being carbonaceous rather than
metallic. The physical and chemical characteristics of this carbon deposit
are still being determined at GA and ORNL. Presently, it is known to range
from about 6 to 12 pm in thickness and to be 80 to 90% carbon with up to
10% iron and detectable amounts of sulfur and silicon (Ref. 36). Little
is known about the structure; this is unfortunate because the cesium sorp
tivity of carbon substances is strongly structure-dependent. Given these
uncertainties, the surface sorptivity was investigated parametrically (Fig.
16); details are given in Ref. 16,
In summary, the experimentally observed cesium plateout distribution
in Peach Bottom can be predicted almost exactly with the PAD code providing
appropriate sorption isotherms are employed. However, the observed sorption
behavior is consistent with either assuming that the primary cesium sink is
a relatively oxide-free SS304 surface or assuming that the carbon deposit has
a cesium sorptivity intermediate to that of graphite and matrix. These assump
tions are equally feasible; in reality, both probably contributed to the
total sorptive capacity of the surface. Cesium deposition throughout the
circuit was apparently mass transfer controlled with the exception of the
hot duct. The superheater entrance effect probably resulted from the mal
distribution of coolant flow. The profiles suggest that cesium was trans
ported primarily in atomic form despite the presence of carbonaceous dust.
4.4 CPL-2 Test Program
The CPL-2 test program is a series of four fission product transport
experiments that were performed in the Pegase test reactor. The tests
were conducted by the Commissariat k I'Energie Atomique (CEA) as a part
of a private cooperative program between CEA and GAC; however, the data
analysis at GAC is being conducted under the DOE-sponsored Code Valida
tion Program.
The CPL-2 loop is shown schematically in Fig. 17; the essential features
of the test section are a fuel element (representative of GAC prismatic
35
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ig . 16 Effect of surface sorpt iv i ty on cesium plateout d i s t r ibu t ion (Ref. 16)
36
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6
1 2 3 4 5 6 7 8 9 10 11 12 13 14
FUEL REFLECTOR BASKET HEAT EXCHANGER FILTERS AND GAS SAMPLING FILTER OUTLETS GAS SAMPLING TO Ge-Li DETECTOR DUST SAMPLER TOOUT-OF-PILE LOOP HEAT EXCHANGER PRESSURE TUBE REGULATION VALVE BLOWER FROMOUT-OF-PILE TROLLEY
362 CM
Fig . 17 CPL-2 loop schematic (Ref. 38)
37
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block design), reflector element, and a counter-current, shell-and-tube i
heat exchanger-recuperator. The other main components are the water-gas
heat exchanger (to regulate the inlet temperature to the test section),
the blower, and the interconnecting piping; the loop was highly instru
mented to monitor operation. A purification/gas-treatment loop allowed
regulation and measurement of impurities in the helium. The release of
fission products from the fuel was monitored by a gas-sampling system as
well as diffusion probes up- and downstream of the heat exchanger-recuperator.
An isokinetic sample of gas was removed downstream of the recuperator and
passed through a cascade impactor to characterize circulating particulate
matter. The loop design and operation were described in greater detail
previously (Ref. 38).
A series of four tests were performed in the CPL-2 program. CPL 2/1
was intended to represent nominal HTGR operating conditions and, hence,
to serve as a benchmark; the total oxidants were to be maintained at llO
ppm. Near the end of the CPL 2/1 irradiation (typical test lasted 60 days),
a relatively large amount of water was inadvertently injected, and the oxidant
level rose to 136 ppm. Consequently, the benchmark test was repeated; in
this test, identified as CPL 2/1-Bis, the oxidant level was maintained within
specifications. In CPL 2/3, the oxidant level was intentionally increased
in stages up to 100 ppm where it was maintained for most of the irradiation.
CPL 2/4 was an in-situ depressurization test: the loop was operated under nominal conditions for 60 days and then rapidly blown down with the effluent
passing through a series of traps to recover the radionuclides released from
the loop. The data acquisition phase of the program (irradiation and post-
irradiation examination) is essentially complete at this writing; analysis
and interpretation of CPL 2/1 results are progressing, but the entire pro
gram is not scheduled for completion until October, 1978.
The CPL-2 test data promise new insights into all facets of fission
product transport, but for understanding plateout phenomena, the most
important data are the deposition profiles along the tubes of the heat
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exchanger-recuperator. Shown schematically in Fig. 18, the heat exchanger
consisted of 186 tubes, 4-mm inside diameter and 1.25-m long, arranged in
a close-packed array inside an 86-mm-diameter cylindrical shell. Several
different types of steels, both in an as-received and a pre-oxidized state,
were used to fabricate the tubes; included were the French equivalents of
Incoloy 800, Hastelloy B, SS347, SS410, and T22 (2-1/4% Cr, 1% Mo chromaloy
steel). Since the T22 and stainless steels could not withstand the tem
perature at the inlet of the heat exchanger, half-length tubes of these
alloys were joined with a half-length tube of 1800 which was oriented in
the upstream (hotter) half of the exchanger.
During operation, helium at '\'750 C entered the tube side of the ex
changer where it was cooled to - 350 C by a counterflow of cold helium re
turning from the loop blower. While a series of thermocouples measured
average inlet and outlet gas temperatures, both on the tube- and shell-side,
no measurements of surface temperatures were possible; however, detailed
calculations (Ref. 39) have shown that the temperature and flow fields
within the heat exchanger were very complex. This occurrance introduces
an additional complexity to the interpretation of the deposition profiles.
Upon removal from the loop, the plateout distribution was determined
by a combination of global scanning of the assembled exchanger, scanning
of individual tubes, and leaching followed by the radiochemical analysis.
Radionuclides identified included 1-131, Te-127m, Cs-134, Cs-137, Sr-89,
Sr-90, and Sb-125 as well as the activation products Cr-51, Co-58, Co-60,
Fe-59, and Mn-54. The activation products generally tracked the neutron
flux distribution in the exchanger; most of the fission products exhibited
apparent perfect sink deposition profiles, but the cesium and iodine iso
topes concentrated in the colder part of the exchanger.
Typical results for Cs-137 and 1-131 are shown in Figs. 19 and 20,
respectively; also shown are PAD code calculations using sorption isotherms
determined by CEA (Ref. 40). These sorption measurements were made on
39
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ta
o
A-A
,dO«^
OnO§OoOoObOo9o°/ Kom
o<
=Dr
Fig. 18 Heat exchanger - recuperator
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O OBSERVED
CALCULATED (CEA SORPTION DATA),
INCOLOY800 —
> t -
>
TUBE-SIDE INLET
TUBE-SIDE OUTLET
400 800
AXIAL DISTANCE (MM)
1200
Fig. 19 Comparison of calculated and observed Cs-137 plateout profiles for tube B-31 from CPL 2/1 heat exchanger (Ref. 32)
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r
>• > <
O OBSERVED
INCOLOY 800
CALCULATED (CEA SORPTION DATA)
- I TUBE-SIDE INLET
TUBE-SIDE OUTLET
>
<
400 800 1200
AXIAL DISTANCE (MM)
Fig. 20 Comparison of calculated and observed 1-131 plateout profiles for tube B-31 from CPL 2/1 heat exchanger (Ref. 32)
42
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the actual materials of construction and in the actual temperature range,
but they were taken in a partial pressure range some three to four orders
of magnitude higher than that which prevailed in the CPL-2 loops. (It is vir
tually impossible to perform pseudoisopiestic sorption experiments at pres
sures much less than 10"^^ atm.) The data were fit with a Freundlich iso
therm and extrapolated to lower pressures. Inspection of the figures
indicates good agreement between the measured and predicted cesium profile;
the shape of the iodine profile (i.e., the temperature dependence) is correct,
but the absolute magnitude is grossly underpredicted. This pattern was con
sistently seen among tubes of varying material type, initial oxidation state,
and temperature distribution. The explanation is unclear, but it is sus
pected that the extrapolation of the sorption data to lower partial pressures
was inappropriate for iodine. Since the analysis of the CPL-2 plateout data
is not yet complete, these results should be considered tentative.
4.5 Fort St. Vrain Surveillance
The most valuable fission product transport data recorded thus far by
the Fort St. Vrain Surveillance Program (Ref. 17) relates to fission gas
release during the initial rise-to-power phase. Up to 28% power, the meas
ured releases of krypton and xenon isotopes have been about a factor of two
less than predicted (Ref. 17). Although the surveillance program has
yielded little plateout data thus far, its potential over the next several
years is large. The most valuable source of information is expected to be
the two plateout probes, one in each coolant loop. The design of the probe
is such that each one samples both the core inlet and outlet coolant passing
these samples through individual diffusion tubes and filters. Upon removal
during the first refueling shutdown, the initial set of probes will be
radioassayed. Analysis of these data will provide information about the
amount, distribution, and chemical form of condensible radionuclides re
leased into the coolant during the sampling period. In addition to the
probes, an iodine monitor has also been installed to determine the amount
of circulating iodine in the primary coolant. The device consists of a
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tube-within-a-tube arrangement through which a sample of primary coolant
is drawn. A small charcoal trap at the inlet orifice of the inner tube
collects 6.7-hr 1-135 and 21-hr 1-133. The outer tube permits the xenon
daughters of the sorbed iodine to be transported to a fast-acting gas
sampling station with a purge flow of purified helium; the design is such
that during the measurement period only xenons produced from the deposited
iodines will be collected for gamma counting. Other plateout information
will be obtained by gamma-scanning accessible components (the PCRV design
limits this approach) and by radioassay of components changed out of the
primary circuit (e.g., spent reflector blocks, filters and charcoal from
the purification train, etc.).
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5. CONCLUSIONS
From the above discussions, it is obvious that plateout phenomena
are not yet sufficiently characterized to meet the needs of reactor de
signers; this is true in an empirical sense, not to mention a mechanistic
sense. Hence for the present at least, the huge uncertainties associated
with plateout behavior in AIPA must remain; to reduce them will require
substantial additonal work. This effort will necessarily be long term
and expensive both in terms of manpower and money, and since plateout
is generic to all HTRs, it would seem a natural area for collaborative
work among the various HTR researchers.
Given the limited data base, any conclusions are naturally tentative,
but a few trends are apparent. The PAD code (and, by induction, its
progeny PADLOC) appears to be an adequate empirical tool for prediction
of plateout distributions under steady-state conditions provided appro
priate material property data are available, the most important of which
are sorption isotherms. Whether these codes will be adequate for the
analysis of LOFC events, with their more extreme conditions, remains
to be seen.
Extensive additional work will be required. Further differential
laboratory experiments will be needed as will large-scale integral tests.
The laboratory tests should focus upon defining the sorptivities of per
tinent structural materials for the key radionuclides: iodine, strontium,
cesium, tellurium, and silver. New laboratory techniques should be sought
which would allow measurements in the partial pressure ranges expected
in HTRs. The engineering-scale integral tests must include two areas
which have had only limited attention to date. A comprehensive series
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of tests is urgently needed to establish the extent to which particulate
matter in the primary circuit would alter the transport behavior of con
densible species. Likewise, a rigorous assessment is lacking of plateout
phenomena under LOFC conditions (large sources, high temperatures, and
free convection). The preceding was not to imply that molecular transport
under steady-state conditions has been sufficiently characterized for it
has not been; it is simply a matter of recommending a more balanced program
for future research.
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REFERENCES
1. Hanson, D. L., "Results of the General Atomic Deposition Loop Program,"
USERDA Report GA-A13140, General Atomic Company, April 1, 1976.
2. Vanslager, F. E., and L. D. Mears, "PAD: A Computer Code for Calculating
the Plateout Activity Distribution in a Reactor Circuit," Gulf General
Atomic Report GA-10460, January 1971 .
3. Hudritsch, W. W., and P. D. Smith, "PADLOC: A One-Dimensional Computer
Program for Calculating Coolant and Plateout Fission Product Concentra
tions," USERDA Report GA-A14401, General Atomic Company, to be published.
4. "HTGR Accident Initiation and Progression Analysis Status Report,
Vol. 5, AIPA Fission Product Source Terms," USERDA Report GA-A13617,
General Atomic Company, February 1976.
5. Ibid., "Vol. 6, Event Consequences and Uncertainties Demonstrating
Safety R^D Importance of Fission Product Transport Mechanisms."
6. Ibid., "Vol. 7, Occupational Radiation Exposures from Gas-Borne and
Plateout Activity."
7. Code of Federal Regulations 10CFR50, Appendix B: "Quality Assurance
Criteria for Nuclear Plant and Fuel Reprocessing Plants."
8. American National Standard Institute ANSI N45.2.11-1974: "Quality
Assurance Requirements for the Design of Nuclear Power Plants."
9 Raines, G. E., et al.. "Experimental and Theoretical Studies of Fission
Product Deposition in Flowing Helium," USAEC Report BMI-1688, Battelle
Memorial Institute, August 21, 1964.
10. Brown, P. E.. et al., "Measurements of Fission Product Deposition on
the Heat Exchangers and Circulators of the Dragon Reactor," Dragon
Project Report DP-564, United Kingdom Atomic Energy Authority, July 1968.
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11. Jensen, D. D. , M. J. Haire, J. E. Baldassare, and D. L. Hanson, "Plan- ^ ^
ning Guide for Validation of Fission Product Transport Codes," USERDA ^^F
Report GA-A13386, General Atomic Company, April 15, 1975.
12. Ingrao, G., H. F. Mollet, and P. R. Rowland, "The Idylle 03 Fission
Product Migration Experiment," Dragon Project Report DPTN/800.
13. Von der Decken, C , H. Gottaut, J. Malinowski, K. MUnchow, and W. Essler,
"Das Bestrahlungsexperiment Saphir im Reaktor P6gase in Cadarache,
Reaktortagung des DA^F," KFA, Karlsruhe, 1973.
14. Selph, W. E., and D. E. Bryan, "Measurement of Fission Product Activity
in the Peach Bottom Reactor Primary Coolant Loop," USERDA Report GA-A14059,
General Atomic Company, August 1976.
15. Baldwin, N. L., B. L. Norman, and W. E. Bell, "Radiochemical Examination
of Peach Bottom Components," General Atomic Report GA-A14495, to be published.
16. Hanson, D. L., N. L. Baldwin, and W. E. Selph, "Gamma Scanning the
Primary Circuit of the Peach Bottom HTGR," General Atomic Report GA-A14161,
October 31, 1976.
17. "HTGR Fuels and Core Development Program Quarterly Progress Report for
the Period Ending August 31, 1976," USERDA Report GA-A14046, General
Atomic Company, September 24, 1976, p. 4-74 ff.
18. "Fort St. Vrain Nuclear Generating Station Final Safety Analysis Report,"
1967, Appendix D.3, Section D.3-1, Public Service Company of Colorado,
(USAEC Docket 50-267).
19. "GCR Safety Program Quarterly Progress Report for the Period Ending
March 31, 1977," USERDA Report GA-A14382, General Atomic Company,
April 1977, Section 5.
20. Ozisik, M. N., "An Analytical Model for Fission Product Transport and Deposi
tion from Gas Streams," USAEC Report ORNL-3370, Oak Ridge National
Laboratory, July 1963.
21. Ozisik, M. N., and F. H. Neill, "An Analysis of Fission Product
Deposition and Correlation with Experiment," CONF-650407 (Vol. 2),
International Symposium on Fission Product Release and Transport Under
Accident Conditions, Oak Ridge National Laboratory, April 5-7, 1965. ^ ^
48
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Iniotakis, N., J. Malinowski, and K. MUnChow, "Initial Results of
Investigations into Fission Product Deposition in In-Pile Experiments,"
Nuclear Engineering and Design 34, 169 (1975) .
Hoinkis, E., "A Review of the Adsorption of Iodine on Metal and Its
Behavior in Loops," USAEC Report ORNL-TM-2916, Oak Ridge National
Laboratory, May 1970.
Satterfield, C. N., Mass Transfer in Heterogeneous Catalysis, MIT
Press, Cambridge, Massachusetts, 1970.
Bumette, R. D., et al., "Evaluation of Carbon Transport Phenomena
in HTGR Systems," USAEC Report GA-8624, Gulf General Atomic, October 5,
1968.
Craig, G. T., "The Behavior of Particulate Matter in High-Temperature,
Gas-Cooled, Graphite Reactor Primary Coolant Systems," General Atomic
Report GA-A13402, July 1, 1975.
Chmielewski, R. D,, and C. G, Hoot, "Fission Product Plateout Cal
culations for a Gas Turbine HTGR," USERDA Report GA-A13213, General
Atomic Company, November 1, 1974.
Busch, D. D., "The Nature of Condensable Fission Products in an HTGR
Environment," General Atomic Division of General Dynamics Report
GA-6957, April 15, 1966.
Treybal, R. E., Mass Transfer Operations, 2nd Ed., McGraw-Hill,
New York, 1968, p. 62.
"HTGR Base Program Quarterly Progress Report for the Period Ending
February, 28, 1967," USAEC Report GA-7801, General Dynamics, General
Atomic Division, April 20, 1967.
Osborne, M. P., E. L. Compere, and H, J. de Nordwall, "Studies of
Iodine Adsorption and Desorption on HTGR Coolant Circuit Materials,"
USERDA Report ORNL/TM-5094, Oak Ridge National Laboratory, April 1976.
"HTGR Fuels and Core Development Program Quarterly Progress Report
for Period Ending May 31, 1976," USERDA Report GA-A13941, General
Atomic Company, June 30, 1976.
49
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"GASSAR-6," General Atomic Standard Safety Analysis Report, February 5,
1975 (NRC Docket STN 50-535).
Milstead, C. E., and L. R. Ziunwalt, "Cesiiun Deposition on Stainless
Steel," Nucl. Appl. 3, 495 (1967).
Milstead, C. E., W. E. Bell, and J. H. Norman, "Deposition of Iodine
on Low-Chromium-Alloy Steel," Nucl. Appl. Tech. 1_, October 1969.
Dyer, F. F., R. P. Wichner, W. J. Martin, and H. J. de Nordwall,
"Distribution of Radionuclides in the Peach Bottom HTGR Primary Cir
cuit during Core 2 Operation," USERDA Report ORNL-5188, Oak Ridge
National Laboratory, March 1977.
Scheffel, W. J., N. L. Baldwin, and R. W. Tomlin, "Operating History
Report for the Peach Bottom HTGR," Vol. 1, USERDA Report GA-A13907-1,
General Atomic Company, August 31, 1976.
"HTGR Fuels and Core Development Program Quarterly Progress Report
for the Period Ending August 31, 1975," USERDA Report GA-A13592,
General Atomic Company, September 30, 1975.
"HTGR Fuels and Core Development Program Quarterly Progress Report
for the Period Ending February 29, 1976," USERDA Report GA-A13804,
General Atomic Company, March 31, 1976.
Blanchard, R., CEA, unpublished data.
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APPENDIX A
REVIEW OF THE MATHEMATICAL MODEL
EMPLOYED BY THE PAD CODE
The mathematical model employed by the FAD code Is thoroughly
documented In Ref. 2; however, for convenience, certain sections of that
document are excerpted below.
A.1. CWSERVATION EQUATIONS
The conservation equations presented here describe the mass balance
for the coolant and surface fission product concentrations In sections of
the reactor circuit with constant cross-sectional areas. The treatment Is
a simplified analysis giving surface concentrations and average coolant
concentrations as a function of axial distance and time. It Is assumed
that the mass-transport process can be described to be between an average
coolant concentration and a surface concentration separated by a thin
gaseous boundary layer film. The quantity of fission products contained In
the thin film Is assumed to be negligible. Figure A-1 Illustrates the
basic mass-transport volume element.
The coolant and surface concentrations of each fission product are
dependent on a source term, such as the release of the fission product from
the reactor core, on the decay of the parent fission product In the primary
circuit, on the decay of the fission product Itself, on mass transfer
between the coolant and surface, and on axial convection around the reactor
circuit. Hence, the time rate of change of the amount of fission product j
In an Increment of volume of length dx, cross-sectional area A, and wetted
perimeter P is given by
A-1
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C, (x.t)
Fig. A-1. Basic mass-transport volume element
A-2
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3C,0c,t) — J Adsc - B (x)Adx + X^C^(x,t)Adx - X C (x,t)Adx
Source Decay from Decay term parent
\ l 9[V(x)C.(x,t)]\ 1 - lv(x)Cj (x.t) + ^ ydx A - V(x) Cj (x.t) Adx
Flow out of Increment - flow in » loss rate due to axial convection
- k(x)[C.(x,t) - C (x,t)]Pdx . (A-1)
Mass transfer from average coolant concentration to coolant concentration at the surface
or.
3C,(x,t) 9[V(x)C,(x,t)] • ^ B (x) + X^C^(x,t) - X C (x,t) - ±
'j"~' 'i'l""*"' j"j" ' ' 8x
_ l c ^ [C,(x,t)-C (x.t)] . (A-2) A J Sj
where C.(x.t), C.(x,t) • coolant concentration of fission product j and
Its precursor 1 averaged across the coolant 3
channel, yg/cm ,
C (x,t) •* coolant concentration of fission product J at the ^4 2
" channel surface, yg/cm ,
A-3
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X " axial distance coordinate, cm.
t • time coordinate, sec.
B. (x) •• source of fission product j In the coolant, 3
yg/cm -sec.
X.. X > decay constant of fission product J and ^ -1
Its precursor 1, sec ,
V(x) • velocity of coolant, cm/sec,
P/A - ratio of wetted perimeter to cross-sectional area
of coolant channel, cm" .
k(x) - mass-transfer coefficient, cm/sec.
Similarly, the time rate of change of the amount of fission product J
on a surface element of length dx and wetted perimeter P Is given by
3S.(x.t) — J Pdx - b (x)Pdx + X^S^(x.t)Pdx - X S (x.t)Pdx
-' \-Source Decay from Decay term parent
+ k(x)[C (x.t) - C (x,t)]Pdx . (A-3)
Mass transfer from average coolant concentration to coolant concentration at the surface
A-4
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or.
as (x.t) - ^ - b^(x) + X^S^(x,t) - XjSj(x,t)
+ k(x)[C (x.t) - C (x,t)] , (A-4)
where S.(x,t), S.(x.t) - surface concentration of fission product j and J 2
its precursor 1. yg/cm .
b,(x) - source of fission product j on the surface,
yg/cm -sec.
and the remainder of the terms are as previously defined. Equations A-2
and A-4 control the behavior of fission product j within one section of the
reactor circuit. A similar set of equations must be written for each
reactor section in order to completely describe the behavior of fission
project j throughout the reactor circuit. The initial and boundary
conditions are: (1) the initial concentrations are specified and (2) the
cool£mt concentration is continuous around the reactor circuit.
A.2. MASS-TRANSFER COEFFICIENT
The mass-transfer coefficient k(x) used in Eqs. A-2 and A-4 should be
for mass transfer in a turbulently flowing gas stream through a channel of
constant cross-sectional area. A formulation for channels of circular
cross-section is given by
k(x) - [0.023 D(x)/d] [Re(x)]°*^^ [Sc(x)]°-^^ . (A-5)
2 where D(x) - diffusion coefficient of species in gas stream, cm /sec.
d - diameter of circular conduit, cm.
A-5
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Re(x) = Reynolds number of gas stream.
Sc(x) = Schmidt number of gas stream.
Although this expression is primarily for channels of circular cross-
section, other shapes can be accommodated by using the hydraulic diameter.
A.3. SURFACE SORPTION
In order to relate the coolant concentration at the surface. C (x.t). s
to the surface concentration, S(x,t), an algebraic expression for the
surface sorption equilibrium is needed. Several equations have been found
to approximate a large amount of the experimental isotherm data on
equilibrium partial pressures versus surface loading. One of these, the
Freundlich equation, can be written as
Cg(x,t) = K^(x) S(x.t)'' '' . (A-6)
where K-(x) = the temperature-dependent Freundlich sorption constant relating
desorption and adsorption coefficients,
n(x) = the temperature-dependent constant which has been observed to
be greater than one.
Although this expression is an empirical equation, it is sufficient for
describing much of the experimental data.
Another expression, the Langmuir equation, can be written as
where K (x) = the temperature-dependent Langmuir sorption constant relating
desorption and adsorption coefficients,
S ^ - saturated surface concentration, sat
A-6
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This expression was deduced from a definite hypothesis on the mechanism of
the sorption process, i.e.. that the rate of sorption is dependent on the
number of unoccupied surface sites. As the surface concentration
approaches the saturated surface concentration, the number of sorption
sites becomes vanlshlngly small, resulting in a rapid Increase of the
coolant concentration above the surface. Note that at low coverage values
the coolant concentration becomes linearly proportional to the surface
concentration.
A general expression that results in either equation, depending on the
values of the constants, can be written as
C^(x,t) K(x) S(x.t)
n(x)
- 6„iS(x,t)/S^^^ (A-8)
where 6 n1 Kronecker delta function.
6 , - 1 If n n1 1,
n1 0 if n ^ 1.
Since there may be many Isotopes of the same chemical species sorbed
on the surface, one must consider the surface concentration of each Isotope
with relation to the total surface concentration of all the isotopes of the
same chemical species. Therefore, the surface concentration terms in Eq.
A-8 must be summed over all Isotopes of the same chemical species and the
expression multiplied by the mole fraction of isotope J to obtain the
proper concentration for Isotope j. Hence, Eq. A-8 becomes
C (x.t) - K(x) 4 gS(x.t)1 n(x)
1 - «„i"Cx,t)/S sat.
S^(x,t)
J:s(x,t) (A-9)
Generally, different chemical species can be Included In the summation by
using weighted values of the constants and concentrations in Eq. A-9.
A-7
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In order to keep the theoretical treatment relatively simple and
straightforward, the explicit temperature dependence of the sorption
constants in Eqs. A-6, A-7, and A-8 has been suppressed. However, most
of the experimental sorption data are reported in a form that explicitly
shows this temperature dependence. The code Input has therefore been
designed to accept these experimental constants. This is accomplished by
calculating the coolant concentration at the surface for either the
Freundlich or the Langmuir type of sorption kinetics from an equation of
the form
^ . . exp [ACP^BCP.103/T(x)] s(x.t)^^^^^"^^'^Q'/^^^)) o vx.t; „ , (A-10) ^ [1-S(x,t)/DCP'10^-*]
where T(x) " the absolute temperature of the surface, "K,
S(x,t) •• the surface concentration of the sorbed species (units vary
with experiment),
and ACP, BCP, CCP, DCP are constants. Hence, the expressions for K(x) and
N(X) in Eq. A-8 are, respectively,
K(x) - exp [ACP+BCP • 10"'/T(x)] ,
n(x) - CCP+DCP • 10^/T(x) . (A-H)
For Freundlich-type behavior, all the constants are determined from the
experimental data (the denominator will be approximately equal to one).
For Langmulr-type behavior, the constant CCP is set equal to one, the -23
constant DCP is set equal to the product of 10 and the saturated surface
concentration S ^, and the constants ACP and BCP are determined from the sat
experimental data. Note that this procedure is numerically equivalent to
the Kronecker delta formulation given in Eq. A-8. Of course, the surface
concentration tetnns in Eq. A-10 should be summed over all Isotopes of the
same chemical species and the result multiplied by the mole fraction of the
Isotope under consideration (see Eq. A-9).
A-8
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In addition to simple Freundlich or simple Langmuir sorption kinetics,
certain systems exhibit Freundlich-type behavior at the higher surface con
centrations and Langmulr-type behavior at lower concentrations; that is,
the gaseous concentration becomes proportional to the surface concentration
at the lower surface loadings. The proportionality constant Is determined
by evaluating the gaseous concentration at the critical surface loading,
CRITSC, and then dividing by the critical loading. The program will
automatically make this change in sorption behavior if a critical surface
loading, CRITSC, is supplied.
A-9