Ornl tm 0203

Page 1



3

MrJRGAffiotp

-

AI{ IBM TO?A rRoGnA}I FOR TIIE AIIATYSIS 0F TIIE TGN TICS OF THE MSBE

I n fntroduction

ftrls report is a d.escriptlon of an IBM 7090 progra,m based. on a partlcular sod.eJ. of the Mo.lten Salt Reactor Experiment. tbe tllfferentla.l eguations of motion are d.lscussecl. in Sectlon II; stnce mtrch of the d.e-

rlvatlon bas appeared. e1senb"""r1 onJ.y the adclitional d.erLvatione recessary ln the present problen are lneJ.udecl. fhe fifbh-ord.er Runge-IGrtta procedr:re is a stand.ard one vhlch ean be found. ln rnany ntlmerical analysis textbooks.2 lts prevlous successfrr,L use in the fOlr- progra.m tnt3 *ateatecl app.Ltcablllty to the present problem and. no revision has as yet been found eltber d.estreble or neeessaryr fbe use of tbe progran is d.lscussed. 1n Seetlon III, with lnstruetj.ons for the preBaration of intrnrt d.ata; samtrfle lnnrt forms and. antprt sheets are lncl.uded.

II. DlfferentlaL Equatlons of !4otlon A.

Power, fbeJ. ancl Graphlte Temperatures Etre reaetor mocLeil used. as the basis of the progra.n is a one-point, o[e-e[ergy group representation, rlth up to seven delayed. neutron precursors, lrhleh ls clescribed. by the followJng set of dlfferential equations:

(aff

synloLs are cleflnecL tfune cLerivative )

.

PI

r. a

r-

Thre

=

k^

in tbe Nqnencla,turei a d.ot over a strrmbol denotes

(r-F)-l

ry

e

P**4Iiri

s 1+A+bt-

(r)

J'J

PiP r' tr.LLr.

effective nnrltlplication k

g

cOnstant k Dtc

e

%

(a)

,iEJ.rN is

(Tr - [ro]

assumed.

bx r?

e

Etro t3

(nr" subscript ?,ero d.enotes the steady state value. )

to be of the fom (T",. ()

,r **o )


sr

ff

= fP

-

$z-

llcp

s-ggr_ = (r-r)

Tr

) + tt(re

- rr)

(4)

r - n(ru - *r)

(f )

nov neeessary to specif! so&e connection between the nean fuel ternperature T3r the lnl-et temperature T, and the otrtlet temperetur" T2.

It is

that the mean ftreJ- tenperature is a welghted. of the lnJ.et and. outLet; i.e.r that

The assumptLon

Tf

=

ls

rnacte

arr + (r-a)

r, i

mean

$)

the welght *(O < a ( L) ts an lnput number ln the J0!0 progra,rn. tr\rrther it is assuned. that the inlet teuperature T, ls a constant. Wlth the d.eflnltions sf

(rf

v=

"f

.- Tro

)

(?)

fPo

tu(** -.**o]

v'g = (r-r) po and.

(B)

the initial cond.ition

n(**o - Tro)

= (r-r)

the fo.Llowing eguatlons

rror3= (r-r)eoru whLch,

rnay

(g)

Po

be obtaineiL

r(P-"o)-

rPo /wcp .\ n(r-r)ro *o)*-qJ"u

il "r(#

u(r-r)p

= (r-r)(r-ro, - -3;J

hfP

r* + qg

rr

(ro)

(u)

rrith the deflnitlon X ;

(ra)

P/P^

o

nay be f\rrther transforrecl

to obtaln the equatlons

used.

ia

}ftrrgatroSnl.'

'


vf = x-l--[ ;s =X-}

r

LG-"q

..h-E-

c "f

gY

'shg

.L

I

-Er

hf

'

YE

hl srJ vf

+

r-f

.r-

-

-r

1-f f "g --rrr

(r: )

V

(tt+ )

"f

Sirnilarly equations I thnr 6 may be transformed. wlth the d.eflnltions

arrd.

ci =

rL/Po

Ti z

Or/1,

to ke(r-F) -

a 'lt ,AE

N

1

x+ I I.rLc. i=1

-

(r> )

, i=1rN1

C*= ILx-IrC, L

(16 )

If the d.efjnitions of yf and. Xg, eqtratlons (7 ) and (8 ), are tntrodueed. into eguation (E ) the effective miltipl.leation constant becomes dtc

fPCI

q E

ke = I+A+btr

e

bt< Vn

"f

e

(r-r

ETg

S

)Po

xe

g

,

(rr)

w:ith the d,eflnltions

*rt }r

?

2-

g

fP

dtr e

q

o

(rB )

qr

bo*

I

sl

(r-f

)Po

(rg

)

s

[m."" are slmL].ar to the parameter w*2 in referen"" r] the eguation for the normaJ-lzed. power becomes

z.t

+ *u-ru )J x

*

$

,*,Ii

cr

(ao )

fhe d.lfferenttal- eguations 20, 3.6,

I3r

and.

th.

actually used, ln the

prograJn are

the set


B.

hessure

of the prlnery ftre1 salt system is shown in Flg. III. It Ls assqned. that conpresslon of tbe gas ln the pumtrr bowl ls atllabatlc, and. that the behavlor of the moJ.ten salt is atlequately d.escrtbetL by the llnear equation of state flre simpllfled

mocleL

p(rr) = A

oo

* *r, (r, - tro)

(21)

force bal-anee on the llquld. ln the outlet plpe ylel-cls the equatlon

5 i= n(Pc - Pp - ar u2) tt {i = A(B^-p--a-u2) i54;; ln

ea)

steacly state

n*(o) = nn(o) + *f uon fhe

assumtr*Lon

that

compresslon

(as )

.

of the gas ln the p:mp

bov1 Ls acLiabatle

can be statecl as

nn un"

* 5(o) fvnf"l l" ;

(ah)

LJ

if

we asfllne

that Vn - Vn(o) << vn(o) and. neglect

second order terms,

we obtatn

Pp=

nAV

r

-l

q(o)[r- q1bj.

fhe change AV, ln the trrump bowJ. gas space volume ts nov assumed. to be equal to the change in volurne of the core ftreL sa.Lt tlue to the change ln temperature of the core firel salt durlng a translentl 1.â‚Ź.1 compresston of the nolten sal-t is neglected, as ls heatlng of the externa-l loop. fhe change ln voilume AV" ls expressed. as

-av=av=-vAg p "

"Po

s -v^ Po +- *(r--r-^) roO*f 'r "

and.

substltuting tn (Zr) ve obtaln

e>)


T

Pp= q(o)

[r* ;i-t t

. h\,u-*,")]

pe)

Solvlng equatlon (ea) rcr the core presfltre we obtaLn My.'

pc = Pp+*fue+ ffi;i -c subtracting equatlon (a3), we obtatn

Ap= po-p"(o)= q-rn(o)+ar(u2-una)*i44\1-;

i

@l)

1 - fn(o) is due to the cmpresslon of gas Jn the pumP bowl, the .2 I teru a-(UU^-) ls due to the lncrease ln frictlon lossesr ed the l-ast 1-' O teru ts the contrlbution from tbe inertla of the fluldt ln the or.rtLet plpe. In ord.er to proceed, a relation between outlet veloelty anct fluicL denslty ehtnge ls needed.. [lle equatton of, continuS.ty for the f'ue]- sa]t ln the eore Ls approximately the teru

p= - Fpo(u-,uo) i c soJ.ving

(aB )

for the veloclty U we obtaln Vi

u = uoâ‚Ź ng *'o anil substituting the equatlon

of state (af)

we obtaln

V-\r

u"-oAp;drr'f' = u_- =9 L and.

taktng time cl.erivatives

.V pe-'r' r i= - -s. po A dTt -f I{e now substitute equatlons (a9) ana (SO) arrangement we obtaln

(ro

into (e?}; afber some re-

)


Ap

F h h [#* ;; . + 2uo"ri,(' &- t

=-

Wlth the definitlons of transformed.

into

=-

F

Ap

yf

and

x

nn(o)

tfr (r, - r,o)

h *,)]

(equatlons 11

h& ?t"h,

*+

and.

nn(o)

(rr)

16) equation (3f) fs

#fur vr

V. 1 do fPo ,.- \l vt)) q q

. /'+tuo*f vf

tr

%

(nz)

il

Wlth the definitions

%.8

rFhhfut

ilz e.r

nn(o)

qhry

rt+4 nTtAv

or-

amd

of

lt'i

grt A

T

V\fP d.^ =. *ur% - =-f=- J oP %

3

we obtaln

o

5r'tr

the eguation used. in the prograrn:

t,] In tems of the d.eflned.

n*rt

d.lmensionaL groups

ln equatlon (fB), the

is , as:unecl thcrt

'do

'.f t(l'' ,

,

.,

'

=

of reference 1 and. the

eonstants, %.r clrr and U3 *t

fi:/sf,

'

(sr) Para^meter Wrz

be wrltten


D

flff*

-:F Tznr

q.

da s

"n'

Cz

(rt+ )

u3 = wrz/zt, C. Effectlve De3.ayect Neutron YieJ.ds In ord.er to accourrt for the reductlon ln cleJ.ayed. neutron procluction lra tbe core clue to fluicl flov, an effectlve yleld. ls calculatecl for eacb precursor, assuming constant flu< ancl slug flow. The fractlon v, of cle.Iayecl neutrons of the tth group whlch are released. ln the core ls /r, \ glven by\+ r

..,J.C

J-e

v.t- = 1 r where t

is the

-h,t

h.t Lg

-, Jrg q

J..e

-h. *

].uI,

+ -h"a' (t^ C

(r: )

t,IJ )

tlme, Ii is the d.ecay constant of the lth precursor a,nd. tl ls the externa.l J-oop transi.t ti"ue. e

IIL

core re$id"ence

Organlzation ancl Use of the llachlne

Progra,m

for use tn parameter studlesl therefore the ca.lcrrlatlon is separated. lnto two parts, the flrst of vhlch d.eal.s rrlth the characterlstlcs of the reactor wblch rematn constant for a eerles of cases, sncl the seconcl of vhlch d.eaIs wlth the charaeteristLcs whlch change flom case to case. Inprrt formp are shovn ln Figures Ia a^ncl Ib; ln the usuaL procedure the first form woulcL be fl1J.ecl out once to clescrLbe the characterlstLcs of th.e reactor, and a second forrm voul-cl be fi.l]-ecL out to d.escrlbe eacb set of i.lritial conclltions and. ranp insertlons. fire tnput da.ta syubols appearlng on the tnput forrs are lLsted. ln Tables J ancl l+, vltb tbelr d.eflnltlons, tbe nanes given then ln the progran, ancl tbe fotmat vith whlch they are read. flom the lnprt tape. ltre stanclard. CDP$. Monltor input (logicaL fO) ar1a outprt (foefcal 9) [he progran Ls

desS.gned.

tapes are used.l no other tapes are required.


Lo

ortprt for a typical- case ls d.isplayecl ln Flgures fla and. IIb. Flgure IIa ls an ed.1t of the lnprrt descrlblng the reactor system, lt'ith the calculatecl effective cLelayed. neutron yielcls; Figure IIb ls the lnput for a particuLar case, ancl tbe contl.nuatl.ons of Blgure IIb sholr the tLne behavlor of the reactor. llhe two colunns head'ecL PCT DK REMOVD BY

FUH,

GRAPHITE

the percent reactlvlty renoved. flon the system by the temperatr:re rl.se of the fgeL salt ancl graphite, respectlvely. lhe quantlty J.abelecl "(t/p)(op/w)" is ca-lcul-ated. flm the expressloa show

Arr!.

ancl

ls therefore approxlmately the lnverse perJ.ocl at t - btfzt

vtrere At

ls the 1ntrut tlme step. Since the frequency

number, speclal provlslon power nanci.uum, the flrst pressure

of prlnttng Ls an lngrt

has been mad.e for lndlcatlng the flrst t'minLrmrn" naxluqm ancl the subsequent pressure mtnlmruo. ("],1a.:rlmruail ancl are to be taken here ln tbe nathematlcaL sense of polnts of zero flrst d.erLvatlve and. negatlve or positlve second d.erivatlver respectively. ) The values LabdleaL "VALUES AT PolJm MAXIM'MTT are the values at the tlrne t. rrhen the pover has fi.rst d.ecreasecLr ed the vaLues at the tvo previous J

tJ.mes,

t,

ancl

t2r as shoun in Tabl-e 1. Ia,b1e Tlme

J.

Power FlffciJrrum Ind,icatlon Power

tt

r(t,

)

tz

r(t,

)

t3

r(t,

$/r)(nrlpr) %,2 or13

)


1]-

The

criteri.on for prlnting is

r(tr and.

)

the qlrantities Or, j are or.,J

=

r(tr) - p(tr)

--ffi

z .r"ct;f;=op

S{mlflar remarks apply., uutatls nnrtantlls. TRESSITNE },IAXS{TII.{'' Arrd. ''VALUES

AT

'

to the val-ues

PBSSSURE MINil.4['I'{.

LabelecL t'VALUES AT

"

Aclcroyledepegt

fhanks are due P. I{. Ilaubenrelch and. J. R. Thge]., for asslstance in the cLerlvatlon of the equatlons ancl other heLpfr:-l comreats ancl srrggestlonsl to M. P. tietzke, for consld.erabLe progranning asslstance; and. to S. A. tr4acCo11, for preparatlon of the input forros.

References

f-. P. R, Kasten. Operattonal S onrr,-ao88,

.lurffii$FT

2. R. G. Stanton, I{a,J.l, TJxc.,

fg

Numerical l,lethocLs

for Sclenc@

Prentlce-

3. S. Jaye and. M. P. Lletzke, Power Response Follolrlng Reactivily AdctltlonF to tnl mr. onm cr-58-ra1r 4. P. R. I(asten, XFrna,mfcs oâ‚Ź the Homoqeneous-Reactor Testr 0ru{E-2ffzt Jr.me J, f9r6.


L2

Ta,b1e

2,

Nornenclature

Definitlon

srfgP,ol

9gug9l,on

f

of outlet plper fta f?iction factor, psl./(ft/tu* )2 lnltlal ranxp reactlvlty lntrrut speciflc heat of fuel salt t?action of power genera,ted. tn ftrel

ge

conversion factor

h

product of heat transfer coefficlent ti.mes wetted area of graphtte

4

ke

effective nmfltlplleatlon constant

I

n

prompt neutron

A

"f b

cp

area

22 3 l$

sa-lt

fluld. in outlet plper

1nass of

n

ratJ.o of $peclflc heats (cr/c' bowl gas

P

power

pe

core pressure, psi

T) -p

pump

J+

22

}i fetime

M

r

22

1

l-b

22

) for trnlnp

bowl pressure, psl

?j+

I 22 22

nn(o )

lnttlal. core pressltrer psl lnitls.I pump bowl pressure, psi

sr

flrel salt heat capaclty

lf

s

graphlte heat eapaclty

,

Tr

fireJ. temperature

h

T

graphite tenperature

l|

t tc

tlme

3

Tt

flrel sal.t ln-let temperature firel sa-lt outlet temperature

n"(o)

g

g

T2

core resld.ence ti"me

23 23

13 h l$


13

Table 2, -, Cont

Definition

Fvpbo*

outlet

U

vn(o

Id.

)

speed.

ngggll,on

in piper fb/see

initial gas spaee volume in

22

pump bowI, fb3

flow rate of f\rel through core

24

!f

mass

F

total

d.elayed. neutron yle3-d.

]

Fi

yleJ.d.

of ith

2

r.1

latent

A

initial step reactivity lnput

p

flrel sal.t

d.elayed.

power due to

d.enslty

neutron precursor

ith precursor

4

f 3

?J


1l+

fable 3. fnlut for Descrtptlon of Reactor

System

Title

Fortran

Core eharacterlstlcs

1.

V^ e

Na.me

nlLM

sal.t volurne,

ft-?

vc

(ff fbel. ls not cireulatlng, enter zero )

resid.ence tLme, sec a

welghting faetor for

h

heat transferred. f?om graphite to^sale per unlt temperature d,lfference, nftd sec/tF

HTNASI

f

f?actlon of power generated, ln salt

TBACT

sr

fuel heat capaeltyr Mt^r sec/otr'

HCAHF

s

graphite heat capacltyr

HCAFG

sl

2,

rcfiF

(or 1-1

[

)

"*"ff

graphlte temperature eoefflcient of reactlvity, v

,o.ra**

trlo

IA,r

ATM(

(or1*r

l

I

mean temperature

ftrel tepperature coeffielent of reactivtty,

dr<*/d*r

|

rcdRE

rcfiG,

!'

prompt neutron J-lfetlme, sec

flrf

po

flrel d.ensityr fU/ft,3

DETISE

fue:. expansion coefflclent, (or )-1

m(Pcl

(Ap/aTf

)l

I.r.

d.elayed. neutron precurs or d.ecay

B. '1

d.e1ayed.

constants,

sec

-]

neutron preeursor yteld.s

rr.os{(r ) BErAs

E:cternal 3.oop characteristlcs

tr

resid.enee ti-me, sec enter zero )

A

outlet pipe area, fbe

AREA

t

outlet plpe length, fb

PT,GTH

steady state outlet veJ.ocltyr ffifsee

vm,lx

U

o

*f

frtction faetor,

(if frrel ls not circrrJ.a,tlng,

ps:./

(tt/

reez )

r*fifrp

(r

)


T' Table 3, Cont td.

Title

3.

Punp bov3.

v-(o) P p-(o) P N

Fortran

Na,me

characterlstlcs

tnltlal gas volum", ft3 initiaL pressure, psl ratlo of specLflc heat at constant Bressure to speeS.flc heat at constant volume for gas ln punp bolrl

TttLe card ls reacl rith fo:mat

L?JIG; others

vlth

7ELO.0.

VFRS PTRS

cPfrcv


T5

Table

h

"

fnlvut

for Ind.lvidual

Cases

Fortran Case nurnber

rcAsE

Tltle

nflr,c

u(o)

tnltial powerr uatts lnitia.l fire1 mearl temperature, o3' initial graphlte mea,rl tenperature, oF lnltial step insertion, ft inltlal rantr) rate, $f sec

dt

ti-me

NP/

prlntout

Ksr/P

number of tlne stePs power peak

o

Tfo T

go

Ak(o )

srlP NTC

Tn4E

16,

I

l]-AC

)

Definitlon

s@93. P

Format

na,Ine

step,

sec

nunber

tlme

of

to

6nao.or zry

TGO

STEP

rufrE

NP/

to be run after rGsrlP

run

ramp

rate

ehange ralnp

new ramp

TFO

HTT

f?equency

total tlme to

ruytr(fi

Ym\ID

changes

NTC

rate,

rc)

rate, $f sec

see

BNEIil

)

810.0,

I

6Elo, o

I

)

I'

3

pairs to a

eard. )


MURGATROYD INPUT

CORE

DATA

ldur/d rr ,-T-r-rrn

I

tl

ldne

/ drgl

I

tu-r dtr'

4, l+

P

3l

2l

73

5l

illiltl

80

DELAYED NEUTROI.I DATA

Fr

tl

I

EXTER}IAL LOOP

PUiltP

9z

?l

Fs

n-nT

F+

3l

.+l

Fs

nt-l_-rrt

5l'

DATA

DATA Pp (o)

Tre T"q. I *

pu

r De

sc RrBtr.cG Rg

A<roR Str.€rv\

Bo

6l

l-r

Ft

--J

tl "lo

EO


l;l U nGATlqOYD I l,l PUT

-2

CASE TITLE

rr

Tfo

?r

Ax (o)

T go

STO P TltulE, sec

TlfiE, I

sec.

t{

ll

E\y RAtn p, %/soc.

tilililtt

n

?l

lzt

NEV/ RAldlB

Tll,lEf sec.

3t

!s

%/sec

Hililttl

l

TIME, 4.1

sec.

Irt-rrn

N

sl

EIV RAM ?, o/olsec 73

80

l+r

H

@

?t

l3l

Frc Tb. Ii\riruT Foe Or-:e C*sâ‚Ź


19

tra.

PR0GnAli -hURGATF0vD; i MSRE IIiIPUT

firOHt-',

Fto. A. SAnr,pue O,.lrprrr I

AL"-"rLUi,i'"N0*50 AK-UP"- 5727 7 6Z

-EDIT

HEA-'''IN[\SFEF RATF_I 6RAF}iITF TU FUEI.'' O.tl2t} FR

if

lI

6N*AF -p0 iiEX--GE

riEFllEu f

N.- F

UEI -'"-n ;

9

I,I-I{IDEG F

4r*-

FEStDEiIcE'f iFEs

CORE Z.3ls

SEC

_LoQ! ._-r7_."11.1_. qEc_. _ _HEAT CAPACtTYT GFAPr{lTE

F n-Krpl-tbEd i -

iir,risFCTDEc

b

E

FUEL

- 3*.t3uF-oT---l;4i6t-dtr---3-;0TrIF:0t --2;3r0E;u5

LIYEii- [i'ti]T-Cnii-b-ATi--

oEu-lv-L[ilnnA;ST tltr--EFtESi1VE-''-Crl'{-MAil-t,--TNrt-iII----r'i.'t7fiFI7EETA7ilrETT]lF cFCrr-l EETA 0 il CAI'tltA/LAflBlrA SEC"-l Cll) BITA --I - -_-i;TTZ4--ZJTZ E:(a- ilte4FjI5--TJZ0E;f-r]-.7ETE- Il*- ---t.402E-03 4.258E-04 | r4688 00-- 4.8138-1rT 0l -2 -it;f 0.0305-T.-25 - -3'_r ;q57E 4 E;Tr-"{ 7 0 6 ;U4"--T;6 23 E -0 rr{00 l.73lE 0l ' r 0.30rJ 2.5236-it3 l.5lJE-o3 5r2l6E 'n.6-

GRoUP

U

E

ilnT0E;i4--ilSr]E;llir-rr T{68 -]-'-97OE_O0 2'577E:q4 6rqL8!:gl-1'-!-5-!!:0 lq----r.-q-S-q--?rILqE-ir4 '---'l;TaTo :11- 3 . -3!-l!:0-r--T-qI-A! r. e 0]!: el *r_ !Fq!Eq!__LIqUE_ -*.----t-:J3?.F LU_q!_!!.t11!!1I!I!_1_! : t'r '

I

NLE_I_1_I

.l!:9t'I!F_T_

__-

DATA FOR PRhSSUNE CALCULATTON

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|0-.70L4.577Eg7..|269,.!]}--_-.-|3!3:'??)'.:3&z!Ey!?-_.-!|r"l3-9L'-_9'?$_q*_0.!]?5-_ -l0.-sj!__f]-0l--.'g1-._)3l3:22!*.__l?.1L.0^??-...:2:'??aE:91----.-!r3i9|--"-Q'r?"J._-6_ 0!3J81 0,2IS? 0,0781 ]!"?_9.qq-_-J:_5',!r!]__]_?9l tir338f 0'?S78 0r0793

_l!-:9_09_-!f:7-F.-.q7--.!39-1r9l9]21

:La?2e1_!-?

'lr42lE'02


25

-t

uNCLASStFrEp

ORNL- LR- DWG 67933

GAS SPACE PUMP BOWL -

OUTLET PIPE V

{F CORE

FIG.

III

SIMPLIFIED MODEL FOR PRESSURE CALCULATIONS

; ,\ \


'27

Internal Distrlbution

L-2. 3. 4. 7. 6. T.

!4SRP

Dlreetor I s Offiee,

nn. &9t Btdâ‚Ź.

G. Mo Ad.anrson L. G. Alexand.er

92O4-J-

V. E. And.ersool K-2| S. E. Beall M,

Bend.er

8. L. L, Bennett 9. C. E. Bettis 10. E. S. Bettis ]1 , D, S. BiJ-llngton L2, M* Bland.er

F. F. Blankenshlp A. L. Boeh r7'- E. G. Bohlmann :..5. S. E. Bolt l-7, C. J. Borkowski 18. C, A. Brand.on 19. F. R. Bnrce

13. ].h.

2)'-

n-. 22'-

23, 24. 27, 26.

0n W. hrrke S. Cantor R. S. Car].snlth lI. L n Carter R. D. Cheverton I[. C , Clalborne

T. E. Cole A. Conlin 28, W. II . Cook 29'_ L. T. Corbin 30. G. A. Cristy 31 . F. L, Cb]-ler 32. J. G. Delene. 33, J . H. DeVan

rT,

Jn

R. G. Dorrnel3.Y 35, D. A. Douglas 36. N. E. Dunwoody 37. J. R. Thgel 38. E. P. Ftr*er 39'- W. K. Ergen ho. D. E. Ferguson lrl , T. B. Fol'rler 42. A. P. Fraas l+3 . Jn I1 . Frye h4. C. H. Gabbard. ht. R. B. Gallaher I+6, E. H. Gifb 4?. D. R. Gllfillart l+8. B. L. Greenstreet ll9. W. R. GrLmes 50. A" G. Grlndel]

3l+.

xL. 7?..

73.

II. Guynon I{. }Iar}ey c. $. I{arrLLl

R. P.

,9.

P. N. Haubenreieh E. C. Hise H. W. Hofflnart P' P. HoLz A. S. Household.er L. N. Howell

6]. ,

!f.

6?..

D &a

U+.

,7. 76. 57,

F.

60. J.

63. R. 6I+

,

67. 66, 67. 68. 69.

M. M. rrl I'

P. Harvis . Jord.art R. Kasten J. KedI T. Ke}ley J, Kelly II

Wo

Ker].ln

J.

Leonard.

s. S n l(lrs1is J. !1. Krewson J. A. Lane

70,

W.

?1 ,

M.

P. Lletzke B. Li:rd.auer

72. R. 73. M. I. Lund.ln R. N. Lyon Tl+ ' 77,_ H. G. MaeEhrerson 76, F. C. Maienschein 77. I|'f. D. Ma^trly ?8. E. R. Mann Tg. B. F, Maskewltzr K-27 Bo.

W.

B.

MeDonald.

81 .

II. F. Melhrffle

Ba.

C. A" E. R.

83. Bl.l.

85, 86. 87. B8*9a. 93.

K. McGloth1art

J,

MiJ-}er

L.

Moore

C. Idi*Ller

J. C. Moyers E. A. Nephew C. rrt .L.

W. Nestor E. NorthuP

R. Osborn ' I'{. F. Parsly L. 95.

9l+

98.

P. Patriarca H. R. Payne A. M. Perry

99.

1,{,

96"

y(.

100.

101 .

10e, 103, lol+.

B. Pike P. H. Pitkanen c, A. heskitt

M. Rlchard.son

R. T.

C. Robertson K. Roche


2p

Distrlbution r

Cont

rd. t

1Or. M. W. Rosentha-l 105. H. W. Sarrage Ifff . A. W. Savolainen 1OB. J. E. Savolalnen 109. D. Scott 110. C. H. Secoy 111 . J. I{. Shaffer 112. M. J. Sklnner 113. G. M. Slaughter I1l+, A, N. Smlth 11t. O. L. Smith 115. P. G. Smlth 117. I. Spiewak }1B. B. Squires 119. J. A. Swartout 120. A. Taboad.a 121. J. R. Tallackson I22. R. E, TLroma L23. M. Toblas 12h. D, B. Trauger L25. Marina Tsagaris

l,26. W. C . {I]-rtch L?T. R. Van Wln}rle 128. D. R. Vond.y

r29. B. S. Weaver B. H. Webster 131 . A. FI. Weinberg L32. J. H. Westsik 133. J. C. Whlte 131+' G. E. Whitesldes 135. L. V. Wllson l-36, C. H. Wodtke 137 -138 . Reactor Div. Llbrary 139-1h0. Central Res. Llbrary 1l+].-rh3. Document Ref. Sectlon 130.

141+-11+6.

ll+7.

th8,

Laboratory Reeord.s om[L-Rc

J. L.

Crowley

Er!.qfnal, PIS t fSLuS *,o+

D. F. Cope, Reactor Divlsion, ffiC, 0R0 H. M. Roth, Divislon of Researeh and. Development, ffic, Lr?', F. P. Self, SC, OnO 153. R. A, Drval, SC, Washlngton

1l+9-rW,.

151 .

15h. T. W. Mclntosh, SC, Washington I77-L69. Divislon of reehnleal. Informatlon Extension, ffiC, 170. Itrs. Idargaret Butler, Argonne cod.e center, Argonne National Laboratory, Argonne, Illlnols

0R0

oRo

!r

17




Ad.clendun

to

0RNt-fItI-201

An add.ition has been

mad.e

to the IS,I-7090

program MJRGff$OID

to

produce

a rough graph of the reactor power ver,sus tLme. A logtca3- tape 6 J.s requlred.

for storage of the power vergus tLne resrrlts in encl

adcLltlon

to the

stancl.ariL

input

output tapes. fhe plotttng frequency (ana]ogous to tbe prlntout frequency)

of tbe card contalntng the stop tlme ancL the nunber of ranp rate changes (see p 18, ORNL-TI{-2O3 ). A sampl-e of the graphlcal. Ls speclfled

ln

co3-ums L6-ZL

I9-2r. If the plottlng frequeney speclfletl ln the tnput ls zero or blankr no plot Ls produced-j bowever, a logtca-l tape 6 must be speclflecL even lf no p.Lot ts d.esired'. ontput

ls

attacbed.

for the

case gl.ven as an example oo pages

9orrlgenclum

Or page

)-), ln tbe J.ast sentence, for

t'f.2A5t'. "I2AG" read'



FIURGATROYD POHER

I

CASE

VS.

TIT4E

PROHPT CRITICAL STEP

AT IO

PAGE Mt.I

PIPMAX

ipllax TTilDbosElE7r{ri

T

f$i

++ ++++++

+

+ +3

++++ I

+

+

+

+

+

+

+ +

+

++ ++

+x

+x

++ +

+

t

+

+

+

N

N 3.090+--------:+-------=F:-----F:-i:-__::i-------:-r----F=:y-::--F------=-:a +

+

+X+++++ + x+ +x+++

_

+

+

+ +

@1i

++++++x 5.0oB+---:-.--:+:jJ-::::$:=:.::::-+---:._:}::.=+x..:1--j=F:--:::l:-

+ --'-----+

++


a

a

t-


5'

In! efngl.,

7.

10.

Boch

5)+,

V. E. And.ersorrl

K-27

E. S. Bettis D. S. Blllington

L2. M. Bland.er 13. ]-ll .

F. F. A, L.

L7. Ee G? Bohlnann :..6. S. E. Bott TT, C. J, Borkowskl 18. C. A. Brand,on 19. F, R. Bnrce 20. 0o W, Btrrke

S. Cantor S. Carlsnith R. 22.

2J-.

23. 24, 22. 26" zT, 28. ?9. 30.

W. Lo Carter R. D. Cheverton H. C. Clalborne

T. E. Cole J. A. Conlln 1{

o

H.

Cook

L. T. Corbin G. A. Cristy 31 . F. L. C\rller 32. J. G. Dslene. 33. J . H. DeVan

R. G. Donnelly 3r. Do A. Douglas 36" N. En Drnwooily 34.

J. n. Thget 38" E. P. El-Ler 39. W. K. Ergen ho. D. E. Ferguson lr1 . T. B. Fow1er 42. A. P. Fraas 37,

Jo H. Frye l+1, . C. H. Gabbard. 4t. R. B. Gallaher

l+3 .

E. Hn Glfb D. R. Gi-Lfillart hB. B. L. Greenstreet h9. ![. R. Gri.mes ,o. A. G. Grlndell 46'_

4?.

v,

Blankenshlp

!{SRP

6. S. E. Beal]T. M. Bend.er 8. L. Lo Bennett 9. C . E. Bettis

11 ,

Ptq.lEtI :iglt R. I{, Gulmon P. H. Ilarl-ey C. S. Harrl].I ,+. Pr N. Haubenreich ,7" E. C o Hise H. W" Hoffhart JI , P. P. Holz A. S. Household.er 79. Lo N. Howell 60, J. Po Harvls 51 . W. Ho Jord.an 62, P. R. Kasten 63. R. J. KedL

Dlrector t s Offiee, Ibm,. *9, BLdg. 92Ol+-1 Mo Ailamson G. 3. 4. L. G. .[lexand.er

L-2.

PJ

72" 73.

fi.

fr,

67. 55, 67. 68. 69. 70.

M. M.

T. Kel.ley J. Kelly

T. llo Kerlln S. S o Kirslis

J. }J. Krewson J. Ao Lane W. J. Leonard. 71 . M. P. Lietzke 72'_ R. B. Lind,auer 73. M. I. Lund.in

' R. N, Lyon H. G. Macfrerson 76, F. C. Ifaienschein 77. If. D. Irla,nly ?8, E. R. Manrt 79. B. F" Masker*ltz, K-27 80, W. B, McDonald.

?l+

T'.

81 .

Ba.

83. 84. 85,

H. C. A" E. R.

F. McDrffie

K. McGlothlart

J.

MLLler

L.

Moore

C. IvtLLIer

J. C. Moyers 87. E. A. Nephew

95.'

88-94. 93. 9l+

'

C. Wo Nestor m I'

W.

97. L. 96'_

yTgB.

E, NorthuP R. Osborn

F n Pars1y P. Patrtarca H. R. Payne A. M. Perry

99. W' B. Pike 100. P. H. Fi.tkanen 101 .

102.

C. A. Preskitt M. Richard.son

lo3.

R.

IOII ,

ta

rn

C. Robertson K. Roche


a

,

I

.;


5

Distribution IOt. M. W. Rosenthal 106 . H. !il, Sarrage 10rf . A. Wo Savolainen lOB. J. E. Savolainen 109. D. Scott 110. C. H. Secoy 111 . J. H. Shaffer 112. M. J. Skirrner 113. G. M. Slauglrter 111|. A, N. Smlth 115. O. L, Smith 116. P. G. Smith 11?, I. Splewak 11B. B, Sgtrires 1I9. J. A. Swartout 120. A. Taboad,a 121. J. R. Tallackson \22. R. E. Thoma L23. M, Tobias 12h. D, B. Trauger L?r. Marlna Tsagarls

Contfd.

L26. W. C. ulrleh

. R. Van Winkle 128. D. R. Vond.y L27

1'29. B. S.

Weaver

130" B. H. Webster

131 .

A. M. Weinberg

I32. J. H. Westsik 133. J. C. White 13h . G. E. tthltesides 135. L. V. Wilson 135. C. H. wodtke

13?-138. Reactor Div, Llbrary 139-IhO. Central Res. Llbrary 141-143. Document Ref . Sectlon

th4-Ih6. Laboratory Reeord.s 1l+7.

ORSIL-RC

th8. J.

Ln Crowley

t !

Srbernal Dlstrtbutj.on a

tl+9-t5O. D. tr. Cope, Reactor Dlvlsloh, AEC, ORO 15il-. II. M. Roth, Divlston of Research ancl DeveJ.olmentr AECr L52. F. P, Self, AEC, oRO L53. R. A, DuVal, AEC, Waahlngton L5l+. T. W. Melntosh, AEC, Washi"ngton Jrr-i.69. DlvLslon of Technlcat Infornation Sctension, AEC, ORO J.JO. Irtrs. Iilargaret Btrt1er, Argonne Cocle Center, Argonne $atlonaL La,boratoryp Argonne, lllinots

, : a

0R0



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