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ORNL-TM-1730.txt
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i.fié;-j
>
o abrteen 1 e
ot ‘
™~
Contract No. W-T405-eng-26
CHEMICAL TECHNOLOGY DIVISION
‘ ACTOR
TO PROCESSING OF MOLTEN-SALT BREEDER RE
L. E. McNeese
ORNL-TM-1T30
CESTI PEICES
HC. scflfl; MN__-é:f_
I
Y
BELEASED FOR ANNOUNCEMEKT
- "IN NUCLEAR SCIENCE ABSTRspRg
MARCH 1967
B racy, Completeness, o usefulness of the information ed, v Ith reapect 4, the accy-
Tt, or that the use
t_flscloa_ed in this reporg may not infringe
If of the Commisasop Includes iuh_v em-
e " { OT employee of Such eoniractor, ¢o the
S ;;wb amplqygg OF contractor of the Commission, o employee of guch co:m'lcto premat
' MiBBeminatag, o Provides accegs to, Ormation " Frepares,
OAK RIDGE NATTONAL LABORATORY
.~ 0ak Ridge, Tennessee
_operated by |
UNION CARBIDE CORPORATION
- for the |
aay tion Pursuant to g o
i88lon, or hig *mployment with gyep contractor mplomt o contracy
' ‘U S. ATOMIC ENERGY COMMISSION
$
iif
CONTENTS
AbstraCtl e & -8 @ » -8 -8 - e« - .8 * * - e -0 * -9 - . . e " e .
lo IntrOdUCtion ¢« -5 ® s & 8 -% @» LR L I L I A I AL I
2, Distillation at Low Pressure . . v «.« o « o« o o o s o «
2.1 Equilibrium Distillation . . . . v ¢ ¢ .o v o o & .
2,2 Molecular Distillation .« .. o o « o o o = « « o o »
2.3 Mean Free Path . . . ; s s s e s s s e e s v e e
2,4t Langmuir Vaporization Rate . . « v v o «. v o + « 4
, 2.5. Probable-opérating Mbde for MSBR‘Processing.; o o
'3, Relative Volatility . . . ¢ o v ¢ ¢ .0 0 o ¢ e o o o s s
3.1 ‘Relative Volatility for Equilibrium Distillation .
‘3,2 Relative Volatility for Molecular Distillation . .
3.3 .Comparison of Experimental and Calculated Relative
Volatilities for Rare Earth Fluorides . . .. . .
4, -Separation Potential of‘Various.Distillation'MEthods . o
4.1 Continuous Distillation . . « & ¢ v ¢ ¢ 0o v v o .0 s
4.2 Semicontinuous Distillation with Continuous Feed
4.3 Semicontinuous Distillation with Rectification . .
4L 4 Batch DLSEL11ation o . v s o v v b oie e e e
4.5 Semicontinuous Distillation Followed by Batch
: Distillation ... . .,.,; b e e e ee b nieeen
'Vh'6 Comparison of Methods COnsidered . ¢ eie.e.ae
6. Conclusions and Recommendations ;I.];.......;.....,,.,.
"""Referenc_es v s e tooi" 7!.-"-“'-"'"'T"‘,""'-" *
-Page
Vi EF W W N M
10
11
12
b
16
16
16
19
21
28
29
.32
5. Prevention of Buildup of Nonvolatiles at a'Vapprizing Surface
by Liquid Phase. Mixing .a.‘;.. ...'.,.,....,f. o le ea .36
L3
- 43
e b Wl
t)
0
S
wh
CONSIDERATIONS OF ‘LOW PRESSURE DISTILLATION AND ITS APPLICATION
TO. PROCESSING OF MOLTEN-SALT BREEDER REACTOR FUELS
_L.-E.-McNeese
| ABSTRACT‘
Distillation at low ‘pressure was examined as a: method
for removing rare- earth fluorides from the fuel stream of
-a molten-salt breeder reactor,' ‘It was concluded that 'dis- - .
tillation allows: adequate rare earth fluoride removal with
‘the simulténeous recovery of more ‘than 99,5% of the fuel
salt. Characteristics of equilibrium and molecular =
distillation were noted and expressions for the relative !
volatility of rare earth fluorides were derived for these
types of distillation. 7 . e -
- Expressions for the separation potential of several
modes of distillation were derived and reported rare
earth fluoride relative volatilities were shown‘to:allow_,
& great deal of latitude in still design and operational
- mode. It was concluded that a single contact stage such
as a well mixed liquid pool provides adequate rare earth.
-fluoride removal and that rectification is not required
. The buildup of rare earth fluorides at the vapori-
zation surface was shown to seriously reduce the R
effectiveness of a distillation system, .Liquid circu-
lation was shown to be an effective means for preventing
"buildup of rare earth fluorides at vaporization surfaces.'
"lgjlleRObUCTION |
The molten*salt breeder reactor (MSBR) is a reactor concept
having ‘the possibilities of economic nuclear power production and
simultaneous breeding of fissile'material using the thorium-uranium -
'ri'fuel cycle. The reactor will be fueled with a mixture of molten
fluoride salts’ which will c1rcu1ate continuously through the reactor
core where fission occurs and through the primary heat exchanger"
';where most of the fission energy is removed The reactor will employ'r
a blanket of molten fluorides containing a fertile material. (thorium)
in order. to: increase the neutron- economy of the system by the con-.
version of thorium to fissile uran1um-233 A close-coupled processing
facility,for removal of fission products, corrosion products, and
fissile materials from these fused fluoride mixtures will be an
integral part of the reactor system..
1t has been proposed that the rare earth fluorides (REF) and
fluorides of Ba, Sr, ‘and Y be removed from the fuél stream by -
vacuum distillation. The purpose of this report is to examine
various factors pertinent to such an operation and to compare several
methods for effecting ‘the . distilIation_ .
2. }DISTILLATION’AT,LOW‘PRESSURE -
The vaporization of a liquid is normally carriedlout under . -
conditions such that the 1liquid and vapor phases are essentially '
in thermodynamic equilibrium. -This condition may cease to exist
1f the distillation pressure is reduced sufficiently; and phenomena
peculiar to low pressure distillation may be observed.
-In discussing digtillation at lowfpressure,,it'is convenient
to'make-a distinction between two modes of distillation-' equilibrium |
distillation and molecular distillation. During equilibrium
distillation, a kinetic equilibrium exists at the liquid-vapor
interface owing to the presence of a vapor atmosphere above the
liquid which has the net effect of immediately returning most of the
vaporizing molecules to theoliquid surface. In contrast, molecular
‘distillation is carried out in the absence of such an atmosphere
and the vaporizing molecules reach the condensing surface without
experiencing collisions ‘with other gas molecules or with the walls
of the system. In the following sections, consideration will be
given to characteristics of these modes of distillation, to. values ‘i
of the mean free path under conditions of Anterest for MSBR , N
’ processing, and to calculated values of maximum vaporization rates
to be expected
ry
cl
2.1 Equilibrium Distillation
Equilibrium distillation can be further divided into ebullient
distillation and evaporative distillation. Ebullient distillation N
occurs when bubbles of vapor form within the bulk of the liquid
which remains at a temperature such that -the vapor preSSure is
equal to the total external pressure acting on the liquid (in the
absence of other gases Boiling‘prOmotes mixing in the liquid
.and the surface from which vaporization occurs is not depleted in
the ‘more- volatile species,
“Evaporative distillation occurs when the distillation is carried
out at a temperature below.the bdiling‘point of the liquid. Under
‘these conditions there ie no formation of bubbles at points below
the ‘1iquid surface and no visiblemovenent‘of the ‘1iquid surface,
Transfer of the more volatile species to the. liquidisurface occurs
by a combination of molécular’diffusionfiand convective mixinglso:'
that depletion of this species in“the viéinity of the- surface is
possible, _However, the rate of distillation is relatively low owing
to the kinetic equilibrium which exists ‘at the liquid-vapor -interface
and the liquid surface may have ‘a composition near that of the bulk
‘1iquid.
‘o.2 'Molecularr‘Distillation |
Mblecular distillation is quite similar to evaporative distillation
-in that vaporization occurs only from a quiescent liquid surface
end in that ‘the vaporizing species 1s transferred .to the surface by
- molecular. diffusion and convective mixing. However, few of the
vaporizing molecules are returned to ‘the liquid surface by
"collisions in the vapor space above the liquid and vaporizdtion -
: 1proceeds at the greatest rate’ possible at the operating temperature.
| f In order to achieve this condition, the distance between the
vaporizing surface andstheieondensing-surface should_theoretically
l,beqleSS'than_the "meanflfree"path“of-thehdistilling moleculeS. This
condition - is seldom realized in practice, however ‘the distance should
he”no‘gréater than a few mean free paths,
greater buildup of rare earth fluorides at the 1iquid surface than |
do those- of evaporative distillation at the ‘same temperature where
vaporization is impeded by the vapor - atmosphere above the liquid |
‘which serves to Teturn most of the vaporized molecules to the liquid lfi,
surface,
“In a distillation‘system, the gases in the region between the -
vaporizing liquid and the condenser normally consist of a mixture
2.3 Mean Free Path
These conditions favor a
of ‘the distilling molecules and molecules of noncondensable gases.-“
. The calculation of the mean free path in this region is complicated
by the fact that the vaporizing molecules, which have a net velocity
component directed away from the liquid surface, pass into 8as
vhose molecules are in random motion.
‘1 molecule in type 2 molecules may be obtained from a relation
given bijoeb2 as
' 01,0z = collision diameters of type 1 and.type:2*molecules',
M,2
- The :mean free path of a type
oo+ 022, €SP
v (2422 “41*6?5
mean free path of a type 1 molecule moving among type 2
molecules
)
‘n = number of type 2 molecules per unit volume -
By making appropriate substitutions into this relatiofi, one can obtain
the following relation for the mean free path-of a type 1 molecule
in type 2 molecules at a pressure P, both gases.being.at;thec,;'
temperature T. | o
C1,Cz = average velocity of -type 1 and type 2 molecules.
@
[
n}
&1
where ;
R = gas constant, (mm Hg) (em®)/(°K)(gmole)
03,02 = collision;diameters of type 1 and 2 molecules
CMy,Mp = molecular weights of type 1 and 2 m°le°files"~
Values for the mean free path of LiF in Ar and in LiF at 1000 C
:;are given in Fig. 1. It should be noted that the mean free path of
'LiF at a pressure of 1 nm Hg-1s approximately 0. O4 cm and that at a
pressure of 0.0l mm Hg, the mean free path of LiF is approximately
4 cm., These distances are probably quite small in comparison with '
~ the distance between the condenser and the surface from which
vaporization will occur- in an MSBR distillation system. ‘Hence, the
rate of distillation in an MSBR system will be set by the pressure
:-drop ‘between the liquid surface-and the condensing surface. . The
~values for the mean free path are sufficiently large that slip-flow
may be of importance in presgure drop considerations,
2.4k Langmuir Vaporization Rate
‘The maximum rate of evaporation of a pure substance was shown
by Lsngmiur5 to be =¥r__ |
=
W = 0.0583 EP - (3)
where |
W = evaporation rate, gms /cmZ 1 sec
M= molecular weight =~
‘T= absolute temperature, éKV -
'7P-e vapor pressure, mm Hg.
'_'A derivation of this relation will be given in order to show the
”region of its applicability., Consider a plane liquid gsurface at -
a temperature below ite’ boiling point. At equilibrium, the rate
*of vaporization from the surface will equal the rate of condensation
- on the surface. Langmiur postulated that the rate of vaporization
;_in a high vacuum is the same as - the rate of vaporization in the
presence of a saturated vapor . and that the rate of condensation in
PRESSURE (wn Hg)
B | o ORNL DWG 67-19
10 ¢ T |fii-1i|], T T T 11T — T T T T T 1T
-
0.1 b— —
e - «
N 2
r- -
= i -
oorl 0 vl v vl 4
0.01 0.1 o !
L | " MEAN FREE PATH {em)
Fig. 1. Mean Free Path of LiF in Ar and in LiF at 1000°C.
g o i
e . T
4]
o
1))
so that
" a high vacuum is determined by the pressure of the vapor. At
equilibrium the rates of vaporization and condensation are equal
and the rate of vaporization can be calculated from the rate of
-_condenSatlon.
‘The vapor contained in a—onit;cube in contact with the liquid
“surface is in equilibrium when the number of molecules ‘moving
toward the surface equals the number moving away from the surface.
‘For n molecules of mass 'm in the volume v, the quantity of vapor
approaching the liquid surface will be
i omn 1 o o . :
where p is the vapor density._ The average component of velocity
of molecules moving toward the surface is é U, where U.is the
arithmetic mean velocity of the molecules. The mass of vapor
- striking a unit area ‘of the liquid surface per unit time is then
T I
If the vapor is an ideal gas,
PM - -
and '
PV=RT=3-mnC.. | B _ | (7)
Solving for (Ca) /2 yields _“__h : - |
. 170 r = e T |
(02)/ ifi‘ | - - ®
- vwhere M = pv. The mean veloc1ty U is related to the root mean
7square velocity, (—E)l/e :?:i~;7l”-"
,-"hfl-;;‘u-'hf-?;Bl ..-”n e
.' U=J%fi@ S : ,. L e (10)
Thus
or |
W = 0.0583 P—T P
The assumptions implicit in the use of this relation for cal- : ..
-culating the rate of vaporization from a liquid surface include P
the following: '
(1) The liquid surface is plane.
(2) The liquid surface is of infinite extent, i.e. collisions
-of molecules with the vessel walls in the vapor space must -
exert a negligible influence on the rate of vaporization. a e
(3) The vapor behaves as an ideal gas.ki,
-F
(4) Every part of the liquid surface is within a fraction of fl- o
the mean free path from every other part or from a
condensing surface,-i.e., thereffect of collisions between
evaporating molecules on the ratehof vaporization is
negligible. | S - «
(5) The number of molecules-leaving the liquid surface is not
affected by the number striking the surface. |
(6) Vapor molecules striking_therliquid surface are absorbed
and revaporized in a direction given by a cosine relation
which is independent of the direction of aoproach atithe
moment of absorption.
When applied to the vaporization of LiF-BeF2 mixtures, the
poorest .of these assumptions is likely that of considering the vapor “i__m
to behave as an ideal gas since it is known that gaseous_LiF ‘tends
to associate. The vaporization rate given by Eq. 11 represents the
maximum rate at which vaporization will occur and hence sets an
upper limit on the vaporization rate. Values forvthe-Langmulr
vaporization rate of LiF are given in Fig. 2. The vaporisation‘rates-
observed in practice may be considerably lower than the Langmuir rate
since the fourth assumption is rarely met,
+
VAPORIZATION RATE (g/cm. sec)
. 0.0001
0.04
- 0.0
ORNL DWG 67-20R1
800
| TEMPERAIURE (-c) Sl S e
| Fig2 La.ngmuir Vaporization Rate for LiF.
10
2.5 Probable QOperating Mode for MSBR Processing
The mode of distillation currently envisioned for proceSSing
MSBR fuel salt is that of single stage equilibrium distillation at
950°~1050°C and at a pressure of -approximately 1 mm Hg. The -
composition of liquid in equilibrium with vapor having the composition
of MSBR fuel salt (64 mole 4 LiF - 36 mole ¢ BeFy) is approximately
88 mole % LiF - 12 mole % BeF. The vapor pressure of liquid of
this composition is ~ 1.5 mm Hg at~lQOO°C_.5 -Hence, evaporative
distillation, with surface vaporization onli, will occur if the
distillation is carried out at a pressure greater than 1.5 mm Hg.
However, if the distillation is carried out at a pressure lower than
‘1.5 mm Hg, boiling could occur below the liquid surface. At a pressure
of 0.5 mm Hg, boiling could occur to a depth of about 0.7 cm. The
actual depth to which boiling would occur is-dependent on the
vertical variation of liquid temperature and composition (and hence
vapor pressure) and on the extent of superheating of the liquid;
the value of 0.7 cm assumes a constant temperature and concentration
and no superheat throughout the bulk of the liquid. Boiling in the
vicinity of the liquid surface would promote convective mixing
which would result in a lower rare earth fluoride concentration
at the liquid surface than would be observed without such mixing.
The lower surface concentrations would in turn decrease the relative
rate of volatilization of REF with respect to LiF.
.Molecular distillation offers two advantages over either type
of equilibrium distillation in.that (1) the distillation proceeds
at the maximum rate, and (2) a greater separation of rare earth
fluorides from the MSBR fuel salt is possible as will be discussed
~ in the section on relative volatilities. 1Its chief disadvantages
are the low pressure required to achieve this type of ‘distillation
and the increased likelihood of an undesirable buildup of rare eafth
fluoride at the liquid surface.
The MSBR distillatlon system will probably be operated at the
vapor pressure of the liquid at the vaporization surface or possibly
oy
L)
11
.at a pressure:0,5-1.0 mm Hg lower than the vapor pressure. A decrease
in pressure could yield an increase :in distillation rate-and/or -a
deerease-in operating-temperature. Entraimment -at the lower pressures
should'be»consideree.'\It'is improbable thatjthe'advantages to be
gained'by'molecnlar'distillation justify the;efforthnecessary to attain
this mode of operation.
" %, " RELATIVE VOLATILITY
- The relative volatility;is;a convenientrform4for,presenting
‘data relating the compositionnof‘liQuid and vapor phases at equilibrium
and,is-defined as
Yy,
AR
Qe = . (12)
AB xAle |
vhere | o ‘ - | .
:aAs =:relativepvolatility,of componentiA,referreo to oomponent'B
Yprg =.mole fraction of component A, B in vapor
X, 2%y = mole fraction of component A, B in liquid.
If the conoentration of component A is low. compared to that of
‘the major component (B), the relative volatility can be expressed
in a useful approxrmate form |
% "T, @)
where o I
C, = moles A/unit volume of .condensed vapor
1Cg-= moles:A/unit volnmé‘of'lionid"
. and where the condensed vapor and liquid are at the temperature at which
| '~vaporization is . carried out, In a binary system, the error ‘introduced -
_in relative volatility by -this approximation depends on. the concentration
~of component A, the relative volatility, and the. relative molar volumes
-of components A and B. The error can be evaluated as follows.
12
Let O denote‘the aotual relative "oolatility as defined by - -
- Eq, .12, and- a* denote the relative vdlatility in the approximate
form defined by Eq. 15. From Eq. 135, '
'Y, X +(1 "}i')v
a* = ‘A A
X, Y, V, + (1 -¢¥ )v
The relati.on between Y and X 1is given by Eq..12 and its use with
A
the expression for a* yields the fractional error in o as
o .o X (1 a)(v /v )
o o S
rrfrac error = o 1 "X [1 a(v /V)] .
The fractional error in afilis given in Eig.‘j as a function of'_X.A
for various values of & for the case where the molar volumes of A
and B are equal. It should be noted that the error in @ introduced
by Eq. 13 is less than 184 for X < 0.15 mole’ fraction if @ < 2,46,
For rare earth fluorides in LiF, the error in.d' will be approximately
three times the values shown for & < 1072 since the molar volume
of rare earth fluorides 1is ~approximately ‘three times that of LiF.
The definition of relative volatility given by Eq..12 has . -
‘been used throughout ‘this report except in Section 5 where the
definition given by Eq. 13 was used - |
The appropriate forms of the relative voIetility will be
derived in the following sections for both equilibrium and molecular
distillation, and a comparison of experimental and calCuleted'values
of relative volatility for several rare earth fluorides in LiF will
be made.
3.1 Relative Volatility for-‘Equllibriinn,‘ Distillation -
- In equilibrium distillation, the relative volatility relates
-the composition of liquid and vapor which are -in thermodynamic
equilibrium. .For the ith component of a system which obeys Raoult'
Law, one can write = S o C T , -
A
&x¥
I
1Y
| CWt-0
a
5
ORNL DWG 67-21 -
ST T T T T
0-6—
04 b
o
»N
I
B |
a <10
-0.4 |
- 001 . o
| | X A. finofe froc!lon of cmpomnl A In liguid)
0.5
Fig | 3. - Error Introduced in Relative Vola'bility by Use of
Approximate Form of Relative Volatility. S
1k
Ty =By
vhere |
o = total pressure
P, = vapor pressure of component i
Vg = mole fraction of i in vapor
*1'=;9°Ie fraction 'of i in liquid.
Substitution of this relation into the definition for'reletive
volatility of component A referred to component B yields
% =T ey T F,
_ *A B
Raoult ¢ Law implies the absence of chemical interaction between the
components under consideration. Interaction may be taken into
account if information is available on the activity of the components
‘since one can write for the ith component
Ty = Bxg o (@9)
where
_71 = activity coefficient of conponent-i,in liquid of the
composition under consideration.
‘The relative volatility may then be written as
P
(o
AB 7B 7B
3.2 Relative Volatility for Molecular Distillation
With molecular distillation, the liquid and vapor phases are’
not "in thermodynamic equilibrium,,instead, the composition of the
vaporiting~material i{s related to that of the liquid by a dynamic
equilibrium which is dependent on the relative rates for naporization
of the various components of the liquid. An expression for the
rate of vaporization of a pure liquid was derived in Section 2.4,
PA"A/PB"B P -
| ,(111) |
/S o (e)
:\ r () £
15
Division of the- rate equation (Eq. 11) by M, the molecular .
weight ‘yields the molar rate of vaporization as
P
g
L
==
F
. - . (n
Thus, the molar rate of vaporization for any substance, atlaigiven'
‘temperature, is governed by the ratio of P/{M. "In a binary system,
if Raoult's Law is assumed,
Py =% By - (18)
where _ :
X, = mole fraction of component i in the liquid
Pi,='vapor pressure of pure component i
pi = partial pressure-of-componentii at liquid:surface. .
- The mole ratio of components vaporizing from the liquid surface
is then ' ‘ B
o ATA r MB A (19)
- T ;] R T x13 | |
Since the quantity /mB is related to the ratio of the mole
fraction of components A and_B in the vapor as
(20)
it
‘éfilfifi
oF ifi»g |
where L o
~yi~; mole fraction of component i in vapor
_i one obtains af the relative volatility as'
o = A/x:fié‘l_; (&)
- This should be compared with the relation for relative volatility
for equilibrium distillation which was P /P | |
16
3.3 Comparison of Experimental and Calculated Relative .
Volatilities for Rare Earth Fluorides
‘Relative volatilities for several rare earth fluorides in LiF
have been measured at 1000°C bj‘Hightoweré and the relative
volatility of LaFs in 87.5 -11.9 - 0.6 mole % LiF-BeFp-LaFg has