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-
. : :DE L . 07 iia
v IWE'Eflnllnufiu;h--*““flfi*J (}Efil?iltr
; r o PN ';i'fldj ?f-\.. :‘?;.-:1_ mw_r
M&g? 3 L L |
OAK RIDGE NATIONAL LABORATORY
et TIhEerarr—taetreT
UNION CARBIDE CORPORATION
uumglsml 0 R N L%C }'\
rost omic sox CENTRAL FILES NUMBER
OAK RIDGE, TENNESSEE 37830
71-8-10
DATE: August 6, 1971
SUBJECT: A Review of Possible Choices for Secondary Coolants
for Molten Salt Reactors
TO: Distribution
FROM: J. P. Sanders
Abstract
A review has been made of various choices for secondary coolants
in a molten salt reactor system which has as its primary fuel salt a
7LiF-BeF,~-ThF, -UF, mixture. Special consideration was given to in-
hibiting the migration of tritium from the primary salt through the
secondary salt to the steam system. At the same time the performance
characteristics of these coolants, the associated inventory costs,
their compatibility with the fuel salt, steam, and the cell environ-
ment, and the materials required to contain the coolants were summa-
rized for future reference. Three groups of coolants were considered;
these were (a) molten salts and sodium hydroxide, (b) liquid metals,
and (c) gases at a high or moderate pressure.
Of the coolants which were considered, there appeared to be no
real incentive for a choice other than the sodium fluoroborate which
is currently being studied. It appears that it might be possible to
contain a small concentration of hydroxl ion in complex in this coolant
which could be continuously removed and replaced to function as a trap
for the tritium. A present disadvantage of the sodium fluoroborate
appears to be its high liquidus temperature of T725°F. A lower melting
point fluoride mix of LiF, NaF and BeF, with a liquidus temperature of
640°F or a mix of LiCl and KC1 with a liquidus temperature of 680°F
appear to be alternatives.
M @‘%m\aii\“
.'P
ii
Sodium with a melting point of 208°F is the best choice of the liquid
metals; several design problems are introduced through the choice of
sodium as a secondary coolant and no real incentive exists to select this
as a coolant unless the lower melting temperature is desired. Of the
gases, helium is the best choice; however, with this, or any other gas,
it is necessary to design a secondary loop which operates at relatively
high pressures. Accurate evaluation of helium as a secondary coolant
will require considerable investigation into possible designs for such
a secondary system.
Keywords: *review, ¥coolants, ¥MSBR, *secondary salts, physical
properties, performance, tritium, capital costs, materials, inventories,
fluoroborates, fluorides, sodium hydroxide, /chlorides, liquid metal,
gases.
i w o+
O
iii
CONTENTS
INTRODUCTION. c o e v e vt ettt st s svanecnnnnnnas
PHYSTICAL PROPERTY VALUES.....cvtcveeneannnn.
----------------
COMPARISON OF PHYSICAT, PERF'ORMANCE OF COOLANTS....cocoveeeen
INVENTORY COSTS . vt iiie it it nnanssneosnanens
THE SIGNIFICANCE OF THE MELTING OR LIQUIDUS TEMPERATURE QF THE
oooooooooooooooo
SECONDARY COOLANT IN MOLTEN-SALT REACTOR SYSTEM DESIGN.....
EFFECTIVENESS OF COOLANTS IN TRITTUM HOLDUP.
COMPATIBILITY OF SECONDARY COOLANTS WITH THE
STEAM, AND THE CELL ENVIRONMENT............
7.1 Compatibility With the Primary Fluid...
oooooooooooooooo
PRIMARY SALT,
T.1.1 With the molten salts as secondary coolants.....
7.1.1.1 Sodium fluoroborate....
7.1.1.2 Lithium fluoride—beryllium fluoride....
7.1.1.3 FLINAK and the "low melting point”
FlUuoride . i vee e cenens
7.1.1.4 The chloride salts.....
oooooooooooooooo
7.1.1.5 ©Sodium hydroxide, the nitrates, and
the carbonates........
oooooooooooooooo
T7.1.2 With liquid metals as secondary coolants........
7.1.2.1 Sodium and NaK.........
T.1.3.1 Helium....:.eoeeeoeneaes
7.1.3.2
T.1.3.3
7-1.3.4
7.1.3.5 Nitrogen...............
7.1.3.6 Carbon dioxide.........
7.1.3.7
7.2 Compatibility with Steam...............
7.3 Compatibility with the Cell Environment
ConclusionNS . veeeesoenses
----------------
----------------
oooooooooooooooo
oooooooooooooooo
----------------
----------------
16
DD
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iv
Page
8. MATERTALS OF CONTATNMENT ++veeveceronncncceasesassssnenasaes 30
8.1 (Containment Materials for the Various Secondary
Coolant Systems .e..eeeveen. Ceeeeeeneas Ceresee e 38
8.1.1 Materials of construction for molten salts
as secondary coolants .eceeieasnos ceeresessesas hO
8.1.1.1 Fluoride s81t5 .vevvrerrcrsasnss ceeenen 40
8.1.1.2 Chloride s8ltsS coseeeececeesss ceereeee. U2
8.1.1.3 Sodium hydroxide ..seeeececec.. eeeeess 43
8.1.1.4 Nitrates ...eeeeeeeecesss Ceiiereeseeees U5
8.1.1.5 Carbonates ....veeesnssens ceeearane vee. 45
8.1.2 Materials of construction for liquid metals as
secondary coolants ..ecvee. teeesscsennansasass U5
8.1.2.1 SodiUmM ceveeececscoceronons teesseranaeas 46
8.1.2.2 Sodium—potassium (NaK) ..... ceeeaneeee. U6
8.1.2.3 Bismuth ..coveeueenennn Ceeesasenaas ve.. 46
8.1.2.4 Bismuth-lead ............. R ¢
8.1.2.5 Lead seveverrenceneaanan Ceieeaseeareans L7
8.1.2.6 MErcCury «eoeeeesess e ceeoe. kb7
8.1.3 Materials of construction for gases as
secondary co0lants ...eeecesonnss Ceeceeneiennan 48
8.1.3.1 Helium vuoveveveerennnenn et rie e . L8
8.1.3.2 Hydrogen ..... Ceereteete e cee... U8
8.1.3.3 Water VADPOT +evessensocosstsasasoasssss 48
8.1.3.4 Air ........ C et eae e e 48
8.1.3.5 NitrogeD +vveeceecnserisssssncononas ... L8
8.1.3.6 Carbon dioxide ...cveveeeeeenn. R
8.2 (ontainment Materials for Various Secondary Coolants
in Conjunction With the Primary Salt ....eeeeecesesses U9
8.2.1 Materials with molten salts as secondary
coolants ........ et reesee et .. L9
B8.2.1.1 Fluoride SaltS +vvesesrevonosseoseasanns L9
8.2.1.2 Chloride 5281tS v.veeeseessvens ciereenes 51
8.2.1.3 Sodium hydroxide ...eeveeeervoeesssases 51l
8.2.1.4 Nitrates and carbonates ....ceveeseeee. 51
Page
8.2.2 Materials with liquid metals as secondary
coolants .iiiiieeens chiescobsiiceteaaronseasaas DL
8.2.2.1 Sodium and NaK .eeeeeeesesvenceosvsnses oL
8.2.2.2 Bismuth and bismuth—lead .......... cee. ol
8.2.2.3 METCUTY +vvennoevroeanens ceeesennneers. 21
8.2.2.4 Tead sveeevevivernenns e cesees coe 01
8.2.3 Materials of construction for gases as secondary
COOLANES tutreresronnnnannncensonssoossonannnss o2
8.3 Containment Materials for Various Secondary Coolants
in Conjunction With Steam ..viieveereeirenececreeneans 92
8.3.1 Materials with molten salts as secondary
coolants ...... Gt csee e s esocea st etoe e enenon cas 02
8.3.1.1 Fluoride SaltS .e.ieeeeeeeeneeens ceieea. 52
8.3.1.2 Chloride 58lts .cvveveernnennnnn. ceeses D3
8.3.1.3 Sodium hydroxXide +vveveeeeeeonenrerenns 53
8.3.1.4 Nitrates and carbonates .....ceveeeeeas 53
8.3.2 Materials with liquid metals as secondary
coolants ..eeeeenns Cererie e Ceeteerecteeae ver 93
8.3.2.1 Sodium and NaK ...... e caeeo ee. 93
8.3.2.2 Bismuth, lead, and bismuth—lead ....... 53
8.3.2.3 Mercury ....... C et ceeeaes 23
8.3.3 Materials with gases as secondary coolants ..... 23
8.4 Literature SOUTCES .eeveverorerennnronnreoonesns Ceeenes 5k
8.5 Summary and Conclusions Concerning Materials of
CONStrUCEION tivvertenoeeosarenacoanossannosseasananas 5k
OTHER POSSIBLE COCLANTS OMITTED FROM THE PREVIOUS
PRESENTATION =+ s e v e eesenncaseaeeeeannnnneeeeeeseaaneeeeeess 61
9.1 Alternate Fluoride Salts ..... e 61
9.2 The Cyanides ..oeeeecoesscasseasssssnessscsssonosssosss 63
9.3 Organic Secondary COOLaNtS +eeiesssonssnossosssssasssas 63
9.t Sulfur ..eeviiieeoon Ceeereeona C e teeetecees o stessenns 63
9.5 HAloAlUMINALES +severnnreeennuneeeennonneennnnnens vo.. Oh
SUMMARY AND CONCLUSIONS « v v oossonevanoasocssonocanaanaassans 65
ACKNOWLEDGMENTS «.ov0... S e e e ea e s ‘10
Teble
Table
Table
Table
Table
Table
Table
Table
Table
vi
LIST OF TABLES
Possible Choices for Molten Salt Reactor Secondary
Coolants Which Were Considered in this Study ...... .
Physical Properties of the Coolants at 1000°F
(538%C) iviienrereenennenenennannnns Ceeeiearereraen
Melting Temperatures for the Coolants ...............
Comparison Factors for Secondary Coolants at 1000°F..
Cost of Secondary Coolants, Estimated Total
Inventories, and Estimated Total Inventory
COSTS teeevoseoesrsessessosnsosscosossssssssasossscsssess
Alliowable Stresses and Design Pressures for Various
Materials .ieiieireneereeosssnnosssnrsscsnsssnnsasnnss
Performance of Materials in Contact with the
Secondary Coolant Only +evveeeavsevsescssnas cheaaea .
Performance of Materials in Contact with the
Secondary Coolant and the Fuel Salt .........c..000
Performance of Materials in Contact with the
Secondary Coolant and with Steam ....ccivveeeveerens
Page
12
15
56
58
29
60
1. INTRODUCTION
A review of possible choices for secondary coolants for molten-salt
reactors has been initiated. Several problems prompted this coolant
study. ©Sodium fluoroborate, which had been investigated most extensively
as a possible secondary coolant, seemed to be more corrosive than was
desirable; there was concern about the effects of the mixing of this
coolant with the fuel salt in the event of a primary heat exchanger tube
rupture; and the pressure of the required BF, cover gas would be greater than
one atmosphere at temperatures of 1300°F and above which might develop
under abnormal operating conditions. An additional problem which prompted
this study was the consideration of the secondary coolant as a tritium
trap or a tritium reservoir for that tritium which migrated from the pri-
mary salt through the heat transfer area of the primary heat exchanger.
These have not been the only characteristics of the secondary coolant
considered in this study; an effort has been made to. bring to- |
gether as much additional information from all possible sources which
would concern the performance of the secondary coolant in the molten-salt
reactor system. This information includes the physical properties of the
coolant; possible materials of contaimment for the coolant itself and for
the coolant in conjunction with both the primary salt and with steam; the
compatibility of the coolant with the primary salt, the steam, and the
reactor cell environment; the cost and availability of the coolant;
safety considerations in the use and handling of the coolant; and any
other general information.
The ultimate purpose of this study is to evaluate the various coolants
in a reactor system design which will be optimized for the characteristics
of that coolant. Since it will not be practical to develop a design for
each choice for the secondary coolant, the coolants have been grouped into
three categories, viz., molten salts, liquid metals, and gases, and it is
postulated that a design which will be developed for the category will be,
at least, partially optimum for each of the coolants in that cétegory.
A comparison of the characteristics of each coolant in the optimized de-
sign of the category should then provide a basis for the selection of the
ultimate optimum coolant.
As the first phase of this study, the characteristics of the more
obvious choices for coolants in each of the three categories have been
collected and tabulated. The choices include nine molten-salt mixtures,
six liquid metal coolants or mixtures, and six different gases each con-
sidered as a high-pressure gas (1000 psia) and a low-pressure gas (250
psia). A list of these choices is presented in Table 1 which gives the
composition of the mixtures following a special designation which will
be used in referencing the particular coolant in subsequent tabulations.
The designations have been selected to be compatible with the characters
printed by the standard teletype machine so that subsequent tabulated
data can be printed by this unit.
This report has received an initial review by several members of
the MSR Program and has been revised to incorporate many of their comments.
It is issued at this time as a Central Files (CF) report for comment by
the entire staff prior to final revision and publication as a Technical
Memorandum (TM). Comments or corrections that will make the report more
useful will be appreciated. All information in the report should be con-
sidered tentative until the revised report is issued.
Table 1. Possible Choices for Molten Salt Reactor Secondary Coolants
Which Were Considered in this Study
Designation Composition
NA BF4-NA F 92 m/o NaBF, , 8 m/o NaF
LI F--BE F2 66 m/o LiF, 34 m/o BeF, |
FLINAK 46.5 m/o LiF, 11.5 m/o NaF, 42.0 m/o KF
NA+K F--ZR F4t 10.0 m/o NaF, 48.2 m/o KF, 42.0 m/o ZrF,
NA ¢H 100 o/o NaOH
LI CL--K CL 59.0 m/o LiCl, 41.0 m/o KC1
NITRATES 6.9 m/o NaNO,, 48.5 m/o NaNO5, 4kh.6 m/o KNO,
IMP FLUORIDES 35.0 m/o LiF, 27.0 m/o NaF, 38.0C m/o BeF,
CARB@NATES 43.5 m/o LiysCO,, 31.5 m/o NayCO,, 25.0 m/o K,CO4
S@DIM 100 o/o Na
NAK 4 w/o K, 56 w/o Na
BISMUTH 100 o/o Bi
PB--BI 55 w/o Bi, 45 w/o Pb
MERCURY 100 o/o Hg
LEAD 100 o/o Pb
HELIUM(HP) 100 o/o He at 1000 psia
HELIUM(LP) 100 o/o He at 250 psia
HYDR@GEN (HP) 100 o/o H, at 1000 psia
HYDRJGEN(LP) 100 o/o H, at 250 psia
WATER (HP) 100 o/o H,0 at 1000 psia
WATER (LP) 100 o/o H,0 at 250 psia
ATR(HP) Air (79 m/o N,, 21 m/o 0,) at 1000 psia
ATR(LP) Air (79 m/o Ny, 21 m/o 0,) at 250 psia
NITRGGEN(HP) 100 o/o N, at 1000 psia
NITRGGEN(LP) 100 o/o N, at 250 psia
c@g2(HP) 100 o/o CO, at 1000 psia
cg2(LP) 100 o/o CO, at 250 psia
Note: m/o designates mole per cent; w/o designates weight per cent;
where the desighation is not significant as for pure compo-
nents and compounds, o/o indicates per cent.
2. PHYSICAL PROPERTY VALUES
Physical property values for each of the coolants are presented in
Table 2. With the exception of mercury, all physical properties are
given for the coolant at 1000°F; property values for mercury are given
for a temperature of 600°F because values were not readily available at
the higher temperature and no accurate method of extrapolation to this
temperature existed.
For the most part, physical property values for the molten-salt
mixtures were obtained from the following references:
1. S. Cantor, Editor, "Physical Properties of Molten-Salt Reactor
Fuel, Coolant, and Flush Salts," USAEC Report ORNL-TM-2316,
Oak Ridge National Laboratory, August 1968.
2. J. R. McWherter, "MSBR Mark I Primary and Secondary Salts and
their Physical Properties," internal memorandum, MSR 68-135,
Rev. 1, Sept. 27, 1968; revised Feb. 12, 1969.
3. H. A. McLain, "Revised MSBR Secondary Salt Viscosity Corre-
lations," internal memorandum, MSR 69-103, Oct. 27, 1969.
L. J. W. Cooke, internal memorandum, MSR 68-123.
5. H. F. McDuffie, et al., "Assessment of Molten Salts as Inter-
mediate Coolants for IMFBR's, USAEC Report ORNL-TM-2696,
Oak Ridge National Laboratory, Sept. 3, 1969.
6. S. Mclain and J. H. Martens, Editors, Reactor Handbook, 2nd
Ed., Interscience Publishers, New York (1964).
7. H. W. Hoffman and S. I. Cohen, "Fused Salt Heat Transfer--
Part III: Forced-Convection Heat Transfer in Circular Tubes
Containing the Salt Mixture NaNO,—NaNO,—KNO,," USAEC Report
ORNL-2433, Oak Ridge National Laboratory, March 1, 1960.
Additional information for the liquid metal properties was obtained
from:
8. John G. Yevick, Editor, Fast Reactor Technology: Plant Design,
The MIT Press (1966).
Gas properties were obtained from:
9. J. Hilsenrath and Y. S. Touloukian, "The Viscosity, Thermal
Conductivity, and Prandtl Number for Air, O0,, N,, NO, H,, CO,
CO,, H,0, He, and A," Trans. ASME, August 1954, pp. 967-985.
10. National Bureau of Standards, "Tables of Thermal Properties
of Gases,'" Circular 56.L.
11. International Critical Tables.
12. Fluid Prgpe}ties Handbook, Missile and Space System, Douglas
Aireraft Company, Inc.
13. C. A. Meyer, et al., Thermodynamic and Transport Properties
of Steam, ASME, 1967.
14. E.R.G. Eckert and R. M. Drake, Jr., Heat and Mass Transfer,
ond Ed., McGraw-Hill Book Company, Inc., New York (1959).
Most of the physical property data are well established with the
exception of the thermal conductivities. For some fluids, various refer-
ences indicated values for the thermal conductivity of a certain coolant
which differed by a factor of L4 or more. 1In these cases, the value of
more recent origin or of the moré careful investigator was selected.
All of the last group of proposed coolants are gases at normal ambi-
ent temperatures (or slightly above ambient for COQ). The melting point
for the remainder of the coolants is given in Table 3. With the exception
of mercury, all of the coolants listed in Table 3 have vapor pressure
less than 1 atmosphere at the normal operating temperatures of the secon-
dary loop of the current design for MSR. Mercury has a vapor pressure
of 1 atmosphere at 6TL°F and a vapor pressure of 12 atmospheres at 1000°F.
Table 2. Physical Properties of the Coolants at 1000F (538QC)
Thermal Heat
Secondary Density Viscosity Conductivity Capacity
Coolant (1b/cu ft) (1lb/ft-hr) (Btu/hr~-ft-F) (Btu/lb-F)
NA BF4-NA F 116,90 3.355 . 2660 .3600
LI F--BE F2 124.06 28.780 . 5780 . 5700
FLINAK 133,36 16.560 . 7500 .4410
NA+K F-ZR F4 159,82 22,730 .5780 .2500
NA OH 91.52 3.797 .6048 .5074
LI CL--K CL 100,29 4,707 .4870 . 3015
NITRATES 108.33 1.030 .1900 .3730
LMP FLUORIDE 124,80 28.180 .4000 .5900
CARBONATE 125,00 18,272 .2000 .4130
SODIUM 51,20 .558 37.80 . 3350
NAK 48.80 .479 16.40 .3070
BISMUTH 608,00 4,320 9.00 .0369
PB-BI 623.00 3.010 8.14 .0333
MERCURY (600F) 802,00 2.090 8.10 .0320
LEAD 650,00 4.100 8.90 .0346
HELIUM (HP) .25510 .0958 .1740 1.2424
HELIUM(LP) .06378 .0958 .1720 1.2421
HYDROGEN (HP) .12868 .0425 2380 3.4800
HYDROGEN (LP) 03217 . 0425 .2380 3.4775
WATER (HP) 1.20550 .0741 .0460 « 5650
WATER (LP) .29085 .0730 .0440 .5250
AIR(HP) 1.85100 .0877 .0330 « 2650
AIR(LP) 46300 .0800 .0320 .2640
NITROGEN (HP) 1.78800 .0930 .0330 2770
NITROGEN (LP) .44700 .0900 .0320 .2750
CO2 (HP) 2.80900 .0810 .0381 . 2860
CO2 (LP) . 70200 . 0800 .0380 .2810
Table 3. Melting Temperatures for the Coolants
Melting
Secondary Temperature
Coolant (Degrees F)
NA BF4-NA F 725
LI F~=-BE F2 856
FLINAK 851
NA+K F--ZR F4 725
NA OH 318
LI CL--K CL 680
NITRATES 288
IMP FLUORIDE 640
CARBONATE 747
SODIUM 208
NAK 66
BISMUTH 520
PB-BI 257
MERCURY -38
LEAD 621
For the molten salt mixtures, the melting
temperature that is indicated is the liquidus
temperature for the composition in Table 1,
3. COMPARISON OF PHYSICAL PERFORMANCE CF COOQOLANTS
In order to compare the performance of the various choices of cool-
ants within any one group on the basis of their physical properties alone,
certain factors have been formulated. It was assumed that the two aspects
of the coolant system which would affect the economics of the reactor
operation were the heat transfer area requirements and the circulator
power requirements.
If we assume that the same temperature regime is maintained for all
reactor designs employing all choices of coolants within a group, then the
heat transfer area requirements in both the primary and secondary heat
exchangers are related directly to the reciprocal of the film heat transfer
coefficient (neglecting the contribution to the resistance to heat transfer
by the tube wall and by the film of fluid on the other side of the wall).
According to current designs the secondary coolant will be in the shell of
the primary heat exchanger to minimize fuel salt inventory and in the shell
of the secondary heat exchanger so that the high pressure steam will be
inside the tubes.
The heat transfer coefficient for flow outside of tubes is given by
*
the equation,
h D /EB_ 1/3 DG .. 0.6
K, O (Sf (T;’) (1)
where h is the mean heat transfer coefficient for the tubes in the bundle,
DO is the outside diameter of the tubes in the bundle, k is the thermal
conductivity of the fluid, Cp is the heat capacity of the fluid, and p is
the viscosity of the fluid. The subscript f indicates that the fluid
properties are to be evaluated at a theoretical film temperature which
is defined as the average of the mean bulk fluid temperature and the sur-
face temperature of the tube wall. Gmax indicates the maximum mass
velocity (mass per unit time per unit minimum flow area) of the fluid in
the bundle. Gmax can also be written as meax where p is the fluid den-
sity and Vmax is the maximum linear velocity of the fluid in the bundle.
*W. H. McAdams, Heat Transmission, 3rd Ed., McGraw-Hill Book Company,
Inc., New York (1954), p. 272.
The density of the fluid should be evaluated at the mean bulk fluid tem-
perature since it is a measure of the total momentum in the fluid. It
has been suggested that all of the coolant properties can be evaluated at
the bulk temperature if the exponent of the Prandtl number (Cpp/k) is
changed to a value of 0.4 when heat is transferred into the fluid and a
value of 0.3 when heat is transferred out of the fluid. In the secondary
loop, heat is transferred into the coolant in the primary heat exchanger
and out of the coolant in the steam generator. Since the area requirements
in the primary heat exchanger will probably be more critical in the reactor
system design, an exponent of O.4 will be used. For any given reactor
power, the heat load for the various coolant choices will be approximately
the same (they will differ only by the differences in pumping power re-
quired in this loop), and within any of the three groups of coolants, the
temperature regimes will be about the same, the heat transfer area require-
ment can then be expressed as
0.2.0.4
A x b D (2)
O 06 037 203
P
If the assumption is made that for all system designs for coolants in the
same group the same outside tube diameter and the same work per unit vol-
ume (pVe) is maintained for all choices within that group, the total heat
transfer area requirement can be expressed as follows:
0
AR —ps (3)
The assumption that the same work per unit volume exists for the various
choices of coolants within a group can be interpreted as assuming that
pumping power requirements are similar.
The value of this area factor, based on the values and units indi-
cated in Table 2, is shown for each of the coolant choices in Table k.
These values should not be used for comparing the performance of coolants
among the three groups (i.e., between liquid metals and gases or between
molten salts and liquid metals); they should only be used as an indication
of the relative area requirement of a coolant within a group.
10
An expression for the work requirement of the circulator in the sec-
ondary loop would be the product of the volumetric flow rate and the pres-
sure loss around the loop. If the major contribution to the pressure loss
is fluid friction, an empirical expression for the friction factor of the
form
-002
" DVp)
&= L
( H ( )
can be used to generate a factor indicating the relative circulator power.
For this calculation, in addition to assuming the same equivalent hydraulic
diameter for each system, we shall assume the same effective flow area and
the same mass velocity (i.e., linear velocity multiplied by density). Im-
plicit in this set of assumptions is that the product of the heat capacity
and the temperature change around the loop is a constant. We then find
that
Work X~ ET (5)
P
If we call this the work factor, we find the relative values listed in
Table L. Again the factors among various groups should not be compared.
If for any of the groups of coolants, the area requirements and
circulator power requirements are of similar importance, we may combine
the equations used above with the assumptions of similar hydraulic diame-
ters and similar mass velocities to get a combined term which has the form
0.40
Combined * — 2°55 0% (6)
0 k CP
Again this factor is listed in Table 4 for the three groups of coolants.
It is felt that this factor is the more significant of the three. Note
that the last factor cannot be obtained by multiplying the first two
since the first was based on the assumption of similar work requirements
prer unit volume of coolant and the last two were based on similar mass
velocities.
If it is assumed that the system is to be designed with similar pres-
sure losses, then the comparison factor reduces to the density multiplied
by the heat capacity (this is actually the volumetric heat capacity). The
11
reciprocal of this product is listed as the transport factor. This indi-
cates, if the pressure gradient around the secondary loop is an important
design consideration, a coolant with a low value for the transport factor
will be the most favorable choice.
If systems with similar head losses are assumed, then the heat capac-
ity is the important physical property. If the secondary circulator is to
be limited by design considerations to some maximum developed head, the
fluid with the highest heat capacity will be the most favorable choice.
The Prandtl number also is &an indication of the relative ease of heat
transport to momentum transport (pressure drop) on a molecular basis.
The coolant in any group with the lowest value of the Prandtl number, will
obviously contribute the most on a molecular basis to the transfer of
heat. Fluids with higher values of the Prandtl number will require more
circulator work, adding momentum to the coolant, to achieve the same
heat transfer.
12
Table 4. Comparison Factors for Secondary Coolants at 1000F
Secondary Area Work Combined Transport Prandtl
Coolant Factor Factor Factor Factor Number
NA BF4-NA F 1.70 1.27 1.502 1.750 4,541
LI F--BE F2 1.34 1.74 1,588 1.041 28,382
FLINAK 1.11 1.35 1.000 1.252 9.737
NA+K F-ZR F4 1,65 1.00 1.040 1.843 9.831
NA OH 1.00 2.13 1.588 1.586 3.186
LI CL--K CL 1.42 1.85 1.914 2,435 2,914
NITRATES 1.66 1.17 1.378 1.822 2.022
LMP FLUORIDE 1,64 1.71 1.908 1,000 41,565
CARBONATE 2,63 1.56 2,793 1.426 37.732
SODIUM 1.00 188.41 116.946 1.496 .00495
NAK 1.68 201,16 213,023 1.713 .00897
BISMUTH 4,10 2.01 2.436 1.144 01771
PB~BI 4,19 1.78 2.190 1,237 .01231
MERCURY (600F) 3,68 1.00 1.000 1.000 .00826
LEAD 4,11 1.74 2,071 1.141 .01594
HELIUM (HP) 1.75 125.4 122.18 2.535 .6840
HELIUM(LP) 2.66 2005.9 4521,98 10.141 .6918
HYDROGEN (HP) 1.00 418.9 287.07 1,794 .6214
HYDROGEN(LP) 1,52 6701.2 10554.47 7.181 .6210
WATER (HP) 3.17 5.3 5.92 1.180 «9101
WATER (LP) 5.12 91.4 250,96 5.261 .8710
AIR(HP) 4,76 2.3 3.43 1.638 - 71043
AIR(LP) 7.23 36.7 123.86 6.573 .6600
NITROGEN (HP) 4.78 2.5 3.78 1,622 . 7806
NITROGEN(LP) 7.36 40.3 139.96 6.535 .7734
CO2 (HP) 3.68 1.0 1.00 1.000 .6080
CO2 (LP) 5.61 16.0 36.93 4,073 .5916
Minimum Values of the Factors in Each Group are:
Factor Molten Salts Liquid Metals Gases
Area 5.9748E=~01 4,7867E-02 1.4133E+00
Work 7.3124E-05 1.8017E-06 7.6664E-02
Combined 1.5127E-05 4.2663E-08 2.9245E-01
Transport 1.3581E-02 3.8965E-02 1.2448E+00
13
L. INVENTORY COSTS
An important consideration in making a choice among some of the pos-
sible secondary coolants is the inventory charge associated with the use
of that coolant. This total charge is a product of the total volume of
secondary system, the density of the secondary coolant, and the cost of
the coolant per unit weight. The product of the first two terms is, of
course, the total weight of coolant which is required for the system.
In Table 5, an estimate is shown for the relative volumes of secon-
dary systems for lOOQ—MW(e) reactors for the various choices of coolant.
These estimates are based on extrapolations from available designs or
design estimates plus a consideration of the "Area Factor'" and the "Com-
bined Factor" of Table 4. Multiplication of this estimated volume by
the densities in Table 2 produces the estimated weight of the coolant
inventory which is shown in Table 5.
The unit costs for the coolants were obtained with the assistance of
J. M. Campbell of the Union Carbide Purchasing Department; he obtained
preliminary bids from vendors where possible. All costs exclude shipping
costs; however, the incremental difference in cost which would be made by
including this factor is probably less than some of the present cost un-
certainties. Most of the vendors were not prepared to quote on the basis
of the shipment of quantities as large as those indicated in the inventory
lists. Bids indicated that for most items the unit cost would decrease
as the size of the order increased; where this factor appeared to be sig-
nificant, extrapolation of the available information was made to estimate
the cost in quantities as indicated in Table 5.
For some of the compounds, very small differences in the amount of
impurities made quite significant changes (by a factor of 10) in the unit
cost of the material. Since it was assumed that any reactor plant would
have some continuous processing facilities for the purification of the
coolant, choices were made to accept the compound with slight impurities
if it appeared that the impurities could be removed with relative ease
during chemical processing and if it appeared that the impurities would
not be detrimental to the secondary system during this cleanup procedure.
1k
Some of the unit costs listed in Table 5 may appear to be unusual due
to the presence of certain impurities. For example, the cost of "air" is
relatively high because atmospheric air could not be used as a secondary
coolant due to the activation of the small percentage of argon which it
contains. Air, for a secondary coolant, would have to be synthesized
from liquid oxygen and nitrogen. Carbon dioxide and hydrogen are both
relatively expensive due to the difficulty of removing small amounts of
water vapor which occur in the commercially available products.
Special consideration must be given to those choices for secondary
coolants which contain lithium. It appears at the present time that the
primary salt will be LiF-BeFo (the eutectic of lithium fluoride and beryl-
lium fluoride) with the addition of uranium and thorium fluorides. The
lithium in this mixture must be enriched in lithium-7 to decrease the
number of neutrons which are absorbed in this component. If lithium is
also a constituent of the secondary coolant, and if the secondary cool-
ant becomes mixed with the primary salt through leakage in the primary
heat exchanger, then the lithium in the primary salt will become diluted
with the lithium-6 of the secondary coolant unless the lithium in that
coolant is also enriched in lithium-7.
It is obvious that the use of the isotopically-enriched lithium in
the secondary coolant will increase significantly the cost of this compo-
nent. In Table 5, for those secondary coolants which contain lithium, the
costs are indicated for the coolant constituted both with natural lithium
and with lithium which is 99.995% lithium-7. The cost of the additional
inventory charges which are incurred when enriched lithium is used must
be balanced against the possible cost of replacing the primary coolant in
the event of a primary heat exchanger failure or, as an alternative, allow-
ing any lithium-6 which is introduced into the primary loop to be "burned
out" during subsequent reactor operation.
The relative total inventory costé are given in the last column of
Table 5.
Table 5.
15
Cost of Secondary Coolants, Estimated Total
Inventories, and Estimated Total Inventory Costs
Estimated Inventory Unit Total Inventory
Secondary Volume Weight Cost Cost
Coolant (cubic feet) (pounds) (S/pound) (million S)
NA BF4--NA F 8500 993650 «371 . 369
LI F--BE F2 10000 1240600 5.200 6.451
WITH LITHIUM-=7 11,920 14.788
FLINAK 8500 1133560 1.095 1.241
WITH LITHIUM-7 5,111 5.794
NA+K F--ZR F4 8500 1358470 2,074 2,817
NA OH 8000 732160 « 250 »183
LY CL--K CL 8500 852465 . 509 434
WITH LITHIUM-7 4,140 3.529
NITRATES 7000 758310 +150 114
LMP FLUORIDES 11000 1372800 4,342 5.961
WITH LITHIUM-7 7.944 10.906
CARBONATES 10000 1250000 0256 .320
WITH LITHIUM-7 3.370 4,212
SODIUM 4500 230400 .400 .092
NAK 4500 219600 . 800 176
BISMUTH 5000 3040000 6.000 18,240
PB~~BI 5000 3115000 3,380 10.529
MERCURY 5000 4010000 12,750 51.127
LEAD 5500 3575000 180 .643
HELIUM (HP) 20000 5102 9.500 .048469
HELIUM(LP) 20000 1276 9.500 .012118
HYDROGEN (HP) 20000 2574 14.157 .036434
HYDROGEN (LP) 20000 643 14.157 .009109
WATER (HP) 20000 24110 .010 .000241
WATER(LP) 20000 5817 .010 .000058
AIR(HP) 20000 37020 616 .022804
AIR(LP) 20000 9260 .616 .005704
NITROGEN (HP) 20000 35760 .688 .024603
NITROGEN (LP) 20000 35760 .688 .024603
C02 (HP) 20000 56180 1.438 .080787
CO2(LP) 20000 14040 1.438 ,020190
All prices are for components which are 99 per cent
pure.
are F,0,B, vendor,
Unless otherwise noted, prices for lithium compounds
are for the naturally occurring element,
No transportation costs have been included; prices
Enriched lithium
compounds are assumed to contain 99.995 per cent LITHIUM-7
priced at $120/kg.
lithium is included.
No chemical conversion cost for this
16