- Page 2: TRANSIENT BOILING AND TWO-PHASE FLO
- Page 8 and 9: ABSTRACT The transient boiling and
- Page 10 and 11: Therefore, the knowledge of hydrody
- Page 12 and 13: has become one of the most importan
- Page 14 and 15: iii Acknowledgements Abstract Intro
- Page 16 and 17: IV . 5 IV.5.1 IV.5.2 Conclusions Ge
- Page 18 and 19: INTRODUCTION The safety of a nuclea
- Page 20 and 21: of the transient non-boiling heat t
- Page 22: -ti actor core by natural circulati
- Page 26 and 27: I.1 INTRODUCTION One of the most im
- Page 28 and 29: experiments for transient forced co
- Page 30 and 31: 10 tam from both ends of platinum w
- Page 32 and 33: I.3.l.a. Non-Boiling Heat Transfer
- Page 34 and 35: where NuB = 7.0 x 10-4 PX0•7 ReB
- Page 36 and 37: 6 The value of K in Eq.(6) was dete
- Page 38 and 39: Visual observations were made of st
- Page 40 and 41: where _$ () ------1(13-2) RePr Here
- Page 42 and 43: As mentioned above, the transient b
- Page 44 and 45: the transient maximum heat flux. It
- Page 46 and 47: stances, after the heat flux reache
- Page 48 and 49: a -- e C C P d dh e D g G Hf 9 AH.
- Page 50 and 51: Xthermal conductivity; pdensity; dy
- Page 52 and 53: 9. Sato,T., Michiyoshi,I. and Takeu
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APPENDIX Consider a semi-infinite r
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From Nutr Nust Eq.(A-8) and Eq.(A-9
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I------------ Fig.2 Electrode 0-Rin
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N E a- 107 106 105 Fig.4(a) 1 The e
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N E CT 107 106 los ' 1 Fig.4(c) 4.0
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E 107 106 105 Fig.4(e) 1 U =1,35 AT
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X N rd E o- 15 E 1 5 0 0 it 0.143 M
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E N 2 x rd E O" 15 10 0 0 Fig.6(c)
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Ln W N E X rd E o- 15 10 5 1 0 0 Fi
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01 E N } X b E 0- 0 0 Fig.7(c) 1,0
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Ul N E X Id E Cr 15 10 0 Fig.8(a) 1
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X Ln (N E rd E 0 15 0 Fig.8(c) The
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I-, (N E X rd E 0 1 10 5 0 0 Fig.9(
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n Lt.) CD Ij E CT 10-2 10-3 Fig.11
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Ui E Q rn x rd E o.. 1 0.1 Fig.13 C
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U CS E 8 7 6 5 4 3 2 1 0 1 100ms 30
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0 1 E Fig.16(a) 1 0 7 106 105 1 The
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0 107 106 10 Fig.17(a) 1 The effect
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a- l o' 106 05 1 Fig.17(c) The effe
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U, Fig.18(b) The N 107 E U 106 effe
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V v 20 (C'15 _E 2 E O10 5 0 0.001 F
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ln ti E 2 x it E Cr 20 0.001 Fig.19
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00 20 N 15 E 2 E 0 10 5 0 0.001 0.0
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X 00 W N E 2 ris E Cr 20 0.001 0.01
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o U, 21 x 20 1 E cr 10 5 01 I 1 I 0
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m 20 E15 x m E 0- 10 5 0 Fig.20(f)
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CO 20 E 15 x cr 10 5 0' I I 0,001 F
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20 N 15 E 2 E o10 5 0 0.001 0.01 0.
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x Lo N 15 E 2 ro E Er10 Type-B Fig.
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U, 20 E 15 ro 0- 10 5 0(-----------
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20 ;715 x E cr10 5 0 0.001 Fig.24(c
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20 cN 15 E 2 E 0'10 5 0 0.001 Fig.2
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0 1 20 c. 15 E 2 x rd E Cr10 5 0 0,
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I-, O W "L ...- K rd E o- 20 1 0.01
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X 0 Ln " E rd E 0 20 15 10 5 0 0.01
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E 0 N x E CT 20 15 10 5 0 Fig.27(b)
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O 20 r,"` 15 E 2 -o a) `- 10 U) rti
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CHAPTER II ANALYSIS OF TRANSIENT FO
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lI . 1 INTRODUCTION As described in
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will take considerable time for com
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q0 is initial value of exponentiall
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• S*-ATS t t t = tw * xw x = —
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atio increases with increasing x .
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"1,5~c for -ln[1-{1-exp(-4.91Pr x )
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not make serious errors when one as
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oundary layer. However, when Prandt
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*0.4.2 hNux Pro,i7(u)0.1 _a _a co h
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errors. In view of this, one can ob
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t= [0.623{ 1 - exp(-1.318 x)}]7/8 (
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More precise measurements on transi
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a A h h Q,' Q Nu Pe x Pr q qw q0--
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1. 2 3 4. 5. 6 7 8. 9. • • •
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20 21 22 23 24 25 26 27 Trans. ASME
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U uco ,Tco --› 0 ///111// v~ qW.
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s 4 s N ro Fig.4 i 3 2 1 0.01 Ratio
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* -C Fig.6 6 5 4 3 2 1 0 0.01 Lamin
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w 3 2 1 0 0.001 Fig.8 Thermal bound
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0 I- LO co 1/4/a 0.8 0.7 0.6 0.5 0.
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CHAPTER III GENERATION AND SIZE DIS
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M. 1 INTRODUCTION A loss of coolant
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• by BI. 2 DROPLET GENERATION MEC
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this case, the entrainment mechanis
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T 1 adAd ai Vd 4(12) where ai is th
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Then CD, is T. = 0.005C 1g in view
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proportional to jg2. This differenc
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0 D= 3.13 D(37) max vm and D is cor
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III. 5 CONCLUSIONS (1) Based on the
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v g v r v Vd V w We We c We (D) X G
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17. 18. 19. 20. 21. 22. 23. 24. 25.
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8 GAS FLOW a LIQUID FLOW a" ED Fig.
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9n I 300 100 10 20 0 0 x WICKS & CO
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o N r() crl roll M N an a) f CD --
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0 10 N N) On Cl.„.IQ_ Po a) (0 --
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) N 0—IQ ._ M CV a) (Y (0 a ul—
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N rr) Q I L r) N C (0 CD CL) 100 10
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M N °'1 ~}-- 10-I \ -----1 ~IQ M N
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CIO VD Reference Table I. _ Wicks a
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CHAPTER IV ENTRAINMENT RATE IN ANNU
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N. 1 INTRODUCTION As mentioned in t
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T46 C m = C. a(3) where, 8 and a ar
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IV. 3 BASIC EQUATION FOR ENTRAINMEN
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4 = 0 .022 Ref-0.26E0.74 (_11)0.26
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effect on entrainment have been dev
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Thus 7.25 x 10WeRe(32) 71.25 ffo.0.
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IV.5.1 General Formulation ot of En
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f f(E/E m ) takes the by the follow
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• as a film are obtained. In calc
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And for E/Em > 1 u0.26 - 0.088 Ref
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u • In IV. 5 CONCLUSIONS A correl
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1 The present model is based on the
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acore ad • • co of 11g Pf Pg Ap
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16 17 18 19 20 21 22. 23. 24. 25. 2
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Appendix A Derivation of Equation (
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10 o,_ 3 x10 5 4 cc 9 3 W N O C7 3
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0 .w 10 1 0.1 0.01 0 o • 0 Ref =4
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0 • W 10 0.1 0.01 1 0 0.2 Fig. 6.
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J F W 2 W a Ui W W i0 0.I COUSINS e
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° / J w 0 w Cl- >C •W 0.1- 0.01
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Zri i— io Z W M CC W CL X W w 0 '
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1.0 0.8 0.6 0.4 0.2 0.0 1.0 0.8 8 0
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1.0 0.8 0.6 0.4 0.2 8 00 w -- I.0 0
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1.0 0.8 0.6 04 0.2 0.0 1.0 0.8 we 0
- Page 258 and 259:
1.0 0.8 0.6 0.4 0.2 8 0.0 Ui 1.0 0.
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w 1.0 0.8 0.6 0.4 0.2 0.0 1.0 0.8 9
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1.0 0.8 0.6 0.4 0.2 Jac) ' I .0 0.8
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1.0 0.8 0.6 0.4 0.2 0.0 1.0 0.8 0.6
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w w 8 I.0 0.8 0.6 0.4 0.2 0.0 I.0 0
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N Cousins Gill & Gill Table I. Summ
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MECHAN I ST I C POOL CHAPTER V MODE
- Page 272 and 273:
V. 1 INTRODUCTION As already descri
- Page 274 and 275:
The experimental data show that the
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of N uf (pf~~Q/gop)1/2(8) Equation
- Page 278 and 279:
As'shown above, these semi-empirica
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terminal velocity is equal to the g
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This implies that for D < Dc E o(D,
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V. 5 DROPLET VELOCITY AT INTERFACE
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• Equation £ ^ D Substituting Eq
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where by DH Wilson, Sterman' a = 0.
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= D V. 6 MAXIMUM HEIGHT OF RISING D
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f h+ = op M Jg h a Vr W • T rm +
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Efg(h,jg ) = 0. 5963 + 0. 5963 0 D
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E 15*1.5-3n4/2 fg(hjg) = 0.398 Cm'
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* ' As shown in Figs . 7 through 17
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In the regime where (jg/h*) exceeds
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dEfg _ 4 a(108) dh DHpg g Here a is
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' Measuring the entrainment amount
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H* In this surface In this (1) o< h
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P terminal h due to velocity is dep
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• jgc=jgc Here qc is the vaporiza
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• Ad AH Av CD C CE CK Cm Cl a D D
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v of vfe v~ vg vh(D,jg,h) vh vi * v
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16. Duffey, R ., "The Cooling," Nuc
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46 47 48 49 50 51 52 53 54 55 56 57
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76 77 78 79 80 • • • • Gill
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Jfe acE=J g • Substituting Eq. (A
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Z=0 k Fig. 2. Schematic Diagram of
- Page 326 and 327:
y=0 y iq, Pg A F D V POOL SURFACE F
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w cn NEAR REGION /SURFACE MOMENTUM
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w Cn CT I0 -2 -3 I0 -4 -10 -5 l0 Fi
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4 Q1 Qi wal -2 10 I0 -3 -4 I0 -5 10
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w cn cn -2 I0 -3 10 • -4 I0 -5 10
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CP L.1.1 Cn -2 I0 -3 I0 -4 I0 -5 I0
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UJ tar CP CP I0 _2 -3 I0 -4 10 I0 -
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A 101 -2 10 2 p 00 Fig. 18. .Compar
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o • v an L.I.J cri 10 -1 —2 I0
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a N Q1 QI ccCl VI O i so 4-- CU CU
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CHAPTER VI SCALING CRITERIA FOR AND
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VI. 1 INTRODUCTION In the preceedin
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i a Jr) the following analysis, sub
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d In cal S. are and The similarity
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i sR CpsR = ksR = asR = 1 .(20) The
- Page 356 and 357:
B.111 hRS.R= 1 (31) QsoR = (PC)R3oR
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particularly in the case of a force
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' From In cal and Eq. (16), a as R
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• uR=0.4•,0.44 qR = 0.4 ti 0.44
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Mixture ap mum • at Mixture apmHm
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Katto's correlation [16] for low fl
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x o-= f2e(82) A similar pressure d
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AH AT= o C sub In view of the Eqs.
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= 2 uR (NFr)R=A ,RR= 1 .(96) (Nf)Rd
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the CHF under natural circulation c
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The above similarity analysis shows
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a as A B Cp Cps Co f d F f(x) g Gr
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6(z) AT AHfg AHsub Lp Ap ou e P PS
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16. Y. Katto, "A Generalized Correl
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• FROM PUMP 6,89 H UPPER CORE STR
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Table I. Basic Geometrical Paramete
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SUMMARY AND CONCLUSIONS The thermoh
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On the other hand, in a later stage