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![Page 1: Natural convection flow in a cask storage warehouse For Toyo Engineering PHOENICS Version : 3.5.1 DETAILS : BFC grid Three-Dimensional steady flow with.](https://reader035.fdocuments.in/reader035/viewer/2022070306/5516229a550346a2308b5a51/html5/thumbnails/1.jpg)
Natural convection flow in a cask storage warehouseFor Toyo Engineering
PHOENICS Version : 3.5.1
DETAILS :
• BFC grid • Three-Dimensional steady flow with heat transf
er • Buoyancy-influenced flow • Surface to surface radiation included • NX*NY*NZ=288*74*42=895,104
NOTES :
• The purpose of this model is to establish the temperature distribution and the air flow rat
e .
![Page 2: Natural convection flow in a cask storage warehouse For Toyo Engineering PHOENICS Version : 3.5.1 DETAILS : BFC grid Three-Dimensional steady flow with.](https://reader035.fdocuments.in/reader035/viewer/2022070306/5516229a550346a2308b5a51/html5/thumbnails/2.jpg)
Geometry
x-y plane
nx×ny=288×74
x-y plane
nx×nz=288×42
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outlet outlet
outlet outlet
Heat source
: 22.6[kw]
Air in
Air out
cask
External temperature
23.2℃
External temperature
23.2℃
Q
A2
A1
A1
A2Q
12
1
1
2
21
42
412 )(
AAAA
ATTQ
21 AA
21 AA
12
1
1
2
21
42
412 )(
AAAA
ATTQ
Radiation model in the cask
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Result
![Page 5: Natural convection flow in a cask storage warehouse For Toyo Engineering PHOENICS Version : 3.5.1 DETAILS : BFC grid Three-Dimensional steady flow with.](https://reader035.fdocuments.in/reader035/viewer/2022070306/5516229a550346a2308b5a51/html5/thumbnails/5.jpg)
Velocity
FlowRate[m3/s] per one caskExperimental
data
Result of PHOENICS
0.28
0.3
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Temperature
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Natural convection flow in a nuclear reactorFor Denchuken
PHOENICS Version : 3.6
DETAILS :
• Cylindrical-polar grid • Three-Dimensional steady or transient flow with heat transfer • Buoyancy-influenced flow • Surface to surface radiation included • NX*NY*NZ=40*45*80=144,000
NOTES :
• When an accident happens in the nuclear system, eg the cooling system may fail. Hence, heat will be released solelyby natural convection of air flow. The purpose of this model is to establish the distribution of temperature and the air flow rate under these circumstances.
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PRACS
IHX(Heat sink Q=-28.55[MW])
Liquid Na convection zone
Pump(11m3/min)Steady::onTransient::off
Radial shield
Reflector
Argon gas zone
Air convection zone
Air inlet(connected to stack)
Air outlet (connected to stack)
Air FlowLiquid Na Flow
Core(Heat source Q=30[MW])
Structure of porous media zone
![Page 9: Natural convection flow in a cask storage warehouse For Toyo Engineering PHOENICS Version : 3.5.1 DETAILS : BFC grid Three-Dimensional steady flow with.](https://reader035.fdocuments.in/reader035/viewer/2022070306/5516229a550346a2308b5a51/html5/thumbnails/9.jpg)
power ration=Q/ 30
0
0.01
0.02
0.03
0.04
0.05
0.06
0.07
0.0001 0.001 0.01 0.1 1 10 100 1000
time [hour]
ratio
n[-]
Boundary conditions
Heat source and Heat sink:
Steady:-28.55[MW]
Transient:0[WM]
Steady:30[MW]
Transient: change profile
![Page 10: Natural convection flow in a cask storage warehouse For Toyo Engineering PHOENICS Version : 3.5.1 DETAILS : BFC grid Three-Dimensional steady flow with.](https://reader035.fdocuments.in/reader035/viewer/2022070306/5516229a550346a2308b5a51/html5/thumbnails/10.jpg)
Pump power :
Fig. Pump coastdown curve
0.000
0.200
0.400
0.600
0.800
1.000
1.200
0.0 10.0 20.0 30.0 40.0 50.0 60.0
Time [sec]
Nor
mal
ized
flow
and
pum
p he
ad
Normalized flowNormalized pump head
Steady:11[m3/s]
Transient: change profile.
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)( TTgF βρ
gF ρ
Body force (Buoyancy):
Liquid Na convection zone
Air convection zone
![Page 12: Natural convection flow in a cask storage warehouse For Toyo Engineering PHOENICS Version : 3.5.1 DETAILS : BFC grid Three-Dimensional steady flow with.](https://reader035.fdocuments.in/reader035/viewer/2022070306/5516229a550346a2308b5a51/html5/thumbnails/12.jpg)
Resistance force in the porous medium zone:
2UKF
where
K: Pressure resistance coefficient. (This is different in each zone)
ρ:density
U: velocity
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Radiation :
コレクタ
原子炉容器
安全容器
Q2
Q1
radiation
Q
A2
A1
12
1
1
2
21
42
411 )(
AAAA
ATTQ
A1
A2Q
12
1
1
2
21
42
412 )(
AAAA
ATTQ
21 AA
21 AA
![Page 14: Natural convection flow in a cask storage warehouse For Toyo Engineering PHOENICS Version : 3.5.1 DETAILS : BFC grid Three-Dimensional steady flow with.](https://reader035.fdocuments.in/reader035/viewer/2022070306/5516229a550346a2308b5a51/html5/thumbnails/14.jpg)
Energy source in the porous medium zone :
S
x
Tk
xx
TCpU
t
TCp
ief
ii
liqiliqef
)(
liqsol
liqsolidsolidsolidef
solidsolidsolidliqliqliqef
VV
kVkVk
CpVCpVCp
1
t
TCpVS
x
Tk
xx
TCpU
t
TCpVsolidsolidsolid
ief
ii
liqiliqliqliqliq
)(
where
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Pressure value in the air convection zone boundary :
PITOP
9,1 2,1
)(i i
fifiinoutin PPhhgP
9,1 7,1i i
fifioutoutout PPhgP
2
5.0
iin
ifi A
k
nP m
2
5.0
iout
ifi A
k
nP m
i Ai[m2] ki[-] n
1 1.0 0.3 2
2 1.0 0.25 2
3 - 0.657 2
4 5.28 1.3 1
5 3.48 0.76 1
6 1.26 2.6 1
7 - 0.3174 2
8 1.0 1.5 2
9 1.0 7.0 2
i=1 to 5 i=6 to 10
The value of pressure in the air convection zone boundary is renewed while it is calculated from the next experience equation.
POTOP
ΔPf1
ΔPf2
ΔPf3
ΔPf4
ΔPf5
ΔPf6
ΔPf7
ΔPf8
ΔPf9
Δhout
Δhin
POUT PIN
Δh
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Result
![Page 17: Natural convection flow in a cask storage warehouse For Toyo Engineering PHOENICS Version : 3.5.1 DETAILS : BFC grid Three-Dimensional steady flow with.](https://reader035.fdocuments.in/reader035/viewer/2022070306/5516229a550346a2308b5a51/html5/thumbnails/17.jpg)
Temperature distribution (steady)
Maximum temperature [ ]℃Experimental
data
Result of PHOENICS
550
540.6699
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Pressure distribution (steady)
Pressure drop [MPa] in Na convection zone
Experimental data
Result of PHOENICS
2.5
2.51
![Page 19: Natural convection flow in a cask storage warehouse For Toyo Engineering PHOENICS Version : 3.5.1 DETAILS : BFC grid Three-Dimensional steady flow with.](https://reader035.fdocuments.in/reader035/viewer/2022070306/5516229a550346a2308b5a51/html5/thumbnails/19.jpg)
2.9
2.95
3
3.05
3.1
3.15
3.2
3.25
3.3
3.35
3.4
0 10 20 30 40time[hour]
mass
flow r
ate
[kg/
s]mass flow rate[kg/ s]
Air flow rate in the air convection zone.
400
420
440
460
480
500
520
540
0 10 20 30 40
time[h]
tem
tratu
re[℃
]
Maximum temperature in the liquid Na convection zone.
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Transient simulation in a vapor turbine
PHOENICS Version : 3.5.0
DETAILS :
• Cartesian grid • Three-Dimensional transient flow• NX*NY*NZ=222×218×98=4,742,808
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下流側流入境界
Inlet of vaporInlet of vapor
Outlet
Air :Fixed temperature
Nozzle Box : Fixed temperature
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RESULT
![Page 23: Natural convection flow in a cask storage warehouse For Toyo Engineering PHOENICS Version : 3.5.1 DETAILS : BFC grid Three-Dimensional steady flow with.](https://reader035.fdocuments.in/reader035/viewer/2022070306/5516229a550346a2308b5a51/html5/thumbnails/23.jpg)
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sURFACE TEMPRATURE IN POINT2
0
50
100
150
200
250
300
350
0 50 100 150
TIME(MIN)
TEN
PR
ATU
RE(
℃)
EXP DATAPHOENICS
SURFACE TEMPRATURE IN POINT1
0
50
100
150
200
250
300
350
0 50 100 150
TIME(MIN)
TEM
P(℃
)
EXP DATAPHOENICS
温度出力点
④ ( 90°)
鉛直断面
①( 0°) ② (
30°)
③ (60°)
⑤( 120°)
⑥( 150°)⑦( 18
0°)
水平断面
SLICE POINT1
POINT2