Report NoSand J JChemical Engineering DepartmenNOTICEThis report was prepared as an account of worvately owned rights154 On the Existence ofSand J JChemical Engineering Departmen155 recalculati ID: 851230
Download Pdf The PPT/PDF document "PaperSNI63ON THE EXISTENCE OF STEADYSTAT..." is the property of its rightful owner. Permission is granted to download and print the materials on this web site for personal, non-commercial use only, and to display it on your personal computer provided you do not modify the materials and that you retain all copyright notices contained in the materials. By downloading content from our website, you accept the terms of this agreement.
1 PaperSNI6/3ON THE EXISTENCE OF STEADY-ST
PaperSNI6/3ON THE EXISTENCE OF STEADY-STATBANKOFFAND JUniversit-153- Report NoSand J. JChemical Engineering De
2 partmenNOTICEThis report was prepared as
partmenNOTICEThis report was prepared as an account of worvately owned rights-154- On the Existence ofSand J.
3 JChemical Engineering Departmen'-155- re
JChemical Engineering Departmen'-155- recalculation of the velocitydrop due to passage of a shock wave in th'e
4 surrounding medium, and predictedCf)vr
surrounding medium, and predictedCf)vr = 44 Boand r2pdgrd = 3 C We = 3 CPrdaP(adfd-156 Here CmdvDr\tfdt2(3v \
5 tl\tCD\anfr(4subject to the initial cond
tl\tCD\anfr(4subject to the initial conditionr=vddante ~3Pfvro(1+Y)\t=m(5For Y = 0 this reduces to the single-
6 drop case treated by Board and HallbN =
drop case treated by Board and HallbN = 33(Bo-/(1+yPf(6The breakup number is thus a weak function of the initi
7 al relative velocit(NoCv-¾NNwhere Ntivel
al relative velocit(NoCv-¾NNwhere Ntively, and b = vro,m/vro,s is the ratio of the initial relative velocities
8 -158- present, the pressure jump across
-158- present, the pressure jump across the fragmentation zone is estimated froto Bo = 4 x 15.8, indicating th
9 e absence of fasN1-159- relative velocit
e absence of fasN1-159- relative velocity after passage of the shock front through a concentrate(r10 atmtherm
10 odynamic efficiencies-160- APPENDIXDENSE
odynamic efficiencies-160- APPENDIXDENSE DISPERSIONS WITH NON-ZERO RELATIVEVELOCITIEjumpat th-161- The shock t
11 hickness may therefore be several centim
hickness may therefore be several centimetersmat constant pressuremetric ratioexpansio-162- zone following the
12 rear of the shockunequal phase velociti
rear of the shockunequal phase velocities, the vote Neumann spike may no longer exist,isless than the initial
13 Bond number. (6) has been derived witho
Bond number. (6) has been derived without re-163- Turning now to the Board-Hall model, it is assumed that the
14 accel-eration is constant, and the init
accel-eration is constant, and the initial relative velocity is given by th-164- APPENDIXSOLIDIFICATION OF U0
15 0-165- We concentrate here, therefore, o
0-165- We concentrate here, therefore, on the possibility that the Taylor inas6eqTTis the ultimate tensile str
16 ength 10N10-166- APPENDIXAN ESTIMATE OF
ength 10N10-166- APPENDIXAN ESTIMATE OF THE INITIALMIXTUREA SHOCK FRONL(0Laov=APC(1 +where= initial volumetr
17 ic ratio of vapor to cold liquiv(C-1 pfl
ic ratio of vapor to cold liquiv(C-1 pflk-1 (6P)v(fl(C-2Hence, a conservative assumption, which ignores the ac
18 celeration of the drofin Fig-168 The fin
celeration of the drofin Fig-168 The final velocity is thus-169- TABLEICOMPARISON OF DROPLET BREAKUPCALCULATIO
19 N(Equal Volumesof Tin at 1000°C and Wate
N(Equal Volumesof Tin at 1000°C and Water at100°CSystem Data= 0AAPrdpw=lg/cm31/ewPt= 500 dyne/cSingleDrop1,3Mu
20 ltiple DropsMultipleDropsC-J WaveUnstead
ltiple DropsMultipleDropsC-J WaveUnsteadyWavap,atm800.7vcm/sec.35.72.510242.55Bo4x4.8X109t7.21041.5x10-310-61x
21 10.610-6t12x 104initiall31ccinitiall TA
10.610-6t12x 104initiall31ccinitiall TABLECOMPARISON OF DROPLETSystem DataCJ14atmpV=d1/e03 x 10QNa150 dyne/cU
22 0=.201000 dyne/cmWavepp,6vrocm/sec.75.11
0=.201000 dyne/cmWavepp,6vrocm/sec.75.11.355.1.8x102.56.0b.31,10-4.52.6-6.6tesec-4.05i.62.66y0 List of Figure-
23 174- Reference"ing on Sodium-Fuel Intera
174- Reference"ing on Sodium-Fuel Interactions, Tokyo, (1976). 52, 565 (1972)nFluidMech. 55, Part 4, 629 (1972
24 )Phys25, 1276 (1956)FlowCarrying Small P
)Phys25, 1276 (1956)FlowCarrying Small Particles", Phys". and Fauske, H. K., "UO2 Solidification Phenomen. R.
25 "Comparison between Vapor ExConfA.Ch.E-1
"Comparison between Vapor ExConfA.Ch.E-175- DISCUSSION ON PAPER\t the breakup and equilibration time constants