E Da RivaM Gomez Marzoa T In Single pipe L029m T Out T Out T In Two pipes L058m T Out T In T Out T In Four pipes 2 sets of 2 pipes L058m T In T Out Four pipes ID: 366583
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Slide1
1
Layouts
E. Da Riva/M. Gomez Marzoa
T
In
Single pipe:
L=0.29m
TOut
T
Out
T
In
Two pipes:
L=0.58m
T
Out
T
In
T
Out
T
In
Four pipes:
2 sets of 2 pipes
L=0.58m
T
In
T
Out
Four pipes:
1
sets of 4 pipes
L=1.16mSlide2
2
ID Optimization: Inner layers
Water
in single-phasePower density: 0.4 W cm-2
= 16.2 W/stave
Maximum water velocity (≤ 1.5 m
s-1).
ΔTRef maximum:
Single pipe: 3.0KTwo pipes: 6.0KFour pipes: 6.0K
Example:q [W cm
-2]
L
pipe
[m]
ΔT
Water [K]
m [L h-1]
v
H2O
[m s-1]
Δp
InOut
[bar]
ID [mm]
0.4
0.29
3.0
4.65
1.35
0.10
<0.20
1.22
E. Da Riva/M. Gomez Marzoa
2
3
4
1
5
Assumption:
pipe length only OVER stave (outer part not included).Slide3
3
Inner Layers (Layers 1, 2, 3)
Single pipe
Q [W]
L
pipe
[m]
ΔT
Water
[K]
m
[L h
-1
]
v
H2O
[m s
-1
]
Δp
InOut
[bar]
ID [mm]
16.2
0.29
3.0
4.65
1.50
0.13
1.22
Two pipes
Q [W]
L
pipe
[m]
ΔT
Water
[K]
m
[L h
-1
]
v
H2O
[m s
-1
]
Δp
InOut
[bar]
ID [mm]
16.2
0.58
6.0
2.32
1.50
1.06
0.55
Four pipes:
2 circuits of 2 pipes
Q [W]
L
pipe
[m]
ΔT
Water
[K]
m
[L h-1]vH2O [m s-1]ΔpInOut [bar]ID [mm]8.10.586.01.160.750.530.558.10.586.01.161.504.220.27
E. Da Riva/M. Gomez Marzoa
Four pipes:
1 circuit of 4 pipes
Q [W]
L
pipe
[m]
ΔT
Water
[K]
m
[L h
-1
]
v
H2O
[m s
-1
]
Δp
InOut
[bar]
ID [mm]
16.2
1
.16
6.
0
2.32
1.50
2.12
0.55Slide4
4
Material budget (Layers 1, 2, 3)
ID [mm]
Δp
InOut
[bar]
Average
x/X0
pipe & fluid over stave width [%]
Single pipe
1.22
0.13
0.073
Two pipes
0.55
1.06
0.046
Four pipes, 2 circuits
0.55
0.53
0.092
Four pipes, 1 circuit
0.55
2.12
0.092
E. Da Riva/M. Gomez MarzoaSlide5
5
Water
in single-phase
Power density: 0.4 W cm-2 = 101.2 W/stave
Maximum water velocity (≤ 1.5 m
s-1).
ΔTRef maximum:
Single pipe: 3.0KTwo pipes:
6.0KFour pipes: 6.0KE. Da Riva/M. Gomez Marzoa
ID Optimization: Middle layersSlide6
6
Middle Layers (Layers 4, 5)
Single pipe
Q [W]
L
pipe
[m]
ΔT
Water
[K]
m
[L h
-1
]
v
H2O
[m s
-1
]
Δp
InOut
[bar]
ID [mm]
101.2
0.843
3.0
29.01
1.50
0.04
6.84
Two pipes
Q [W]
L
pipe
[m]
ΔT
Water
[K]
m
[L h
-1
]
v
H2O
[m s
-1
]
Δp
InOut
[bar]
ID [mm]
101.2
1.686
6.0
14.55
1.50
0.22
3.42
Four pipes:
2 circuits of 2 pipes
Q [W]
L
pipe
[m]
ΔT
Water
[K]
m
[L h-1]vH2O [m s-1]ΔpInOut [bar]ID [mm]55.61.6866.07.251.710.471.0055.61.6866.07.251.500.311.71
E. Da Riva/M. Gomez Marzoa
Four pipes:
1 circuit of 4 pipes
Q [W]
L
pipe
[m]
ΔT
Water
[K]
m
[L h
-1
]
v
H2O
[m s
-1
]
Δp
InOut
[bar]
ID [mm]
101.2
3.38
6.
0
14.50
1.50
0.44
3.42Slide7
7
Material budget (Layers 4, 5)
ID [mm]
Δp
InOut
[bar]
Single pipe
6.84
0.04
Two pipes
3.42
0.22
Four pipes, 2 circuits
1.71
0.31
Four pipes, 1 circuit
3.42
0.44
E. Da Riva/M. Gomez MarzoaSlide8
8
Water
in single-phase
Power density: 0.4 W cm-2 = 177.0 W/stave
Maximum water velocity (≤ 1.5 m
s-1).
ΔTRef maximum:
Single pipe: 3.0KTwo pipes:
6.0KFour pipes: 6.0KE. Da Riva/M. Gomez Marzoa
ID Optimization: Middle layersSlide9
9
Outer Layers (Layers 6, 7
)
Single pipe
Q [W]
L
pipe
[m]
ΔT
Water
[K]
m
[L h
-1
]
v
H2O
[m s
-1
]
Δp
InOut
[bar]
ID [mm]
177.0
1.475
3.0
50.76
1.50
0.04
11.97
Two pipes
Q [W]
L
pipe
[m]
ΔT
Water
[K]
m
[L h
-1
]
v
H2O
[m s
-1
]
Δp
InOut
[bar]
ID [mm]
177
.0
2.950
6.0
25.38
1.50
0.19
5.98
Four pipes:
2 circuits of 2 pipes
Q [W]
L
pipe
[m]
ΔT
Water
[K]m [L h-1]vH2O [m s-1]ΔpInOut [bar]ID [mm]88.52.9506.012.692.001.092.2488.52.9506.012.691.500.462.99
E. Da Riva/M. Gomez Marzoa
Four pipes:
1 circuit of 4 pipes
Q [W]
L
pipe
[m]
ΔT
Water
[K]
m
[L h
-1
]
v
H2O
[m s
-1
]
Δp
InOut
[bar]
ID [mm]
177.0
5.90
6.
0
25.38
1.50
0.37
5.98Slide10
10
Material budget (Layers 6, 7
)
ID [mm]
Δp
InOut
[bar]
Single pipe
11.97
0.04
Two pipes
5.98
0.19
Four pipes, 2 circuits
2.99
0.46
Four pipes, 1 circuit
5.98
0.37
E. Da Riva/M. Gomez Marzoa