Tab. 3
Tubi in acciaio al carbonio per riscaldamento (ruvidità k= 0,0015 mm). Perdite di carico R in funzione della portata
massica m e della velocità v alla temperatura dell’acqua di 80°C.
D
i
m
e
n
s
i
o
n
e
D
i
a
m
e
t
r
o
e
s
t
e
r
n
o
x
s
p
e
s
s
o
r
e
D
i
m
e
n
s
i
o
n
e
P
i
p
e
o
u
t
s
i
d
e
d
i
a
m
e
t
e
r
x
w
a
l
l
t
h
i
c
k
n
e
s
s
D
i
m
e
n
s
i
o
n
e
D
i
a
m
e
t
r
o
e
s
t
e
r
n
o
x
s
p
e
s
s
o
r
e
d
e
x
s
/
O
D
x
t
[
m
m
]
d
i
/
I
D
[
m
m
]
P
e
r
d
i
t
e
d
i
c
a
r
i
c
o
1
2
x
1
.
2
1
5
x
1
,
2
1
8
x
1
,
2
2
2
x
1
,
5
2
8
x
1
,
5
3
5
x
1
,
5
d
e
x
s
/
O
D
x
t
[
m
m
]
d
i
/
I
D
[
m
m
]
P
e
r
d
i
t
e
d
i
c
a
r
i
c
o
4
2
x
1
,
5
5
4
x
1
,
5
d
e
x
s
/
O
D
x
t
[
m
m
]
d
i
/
I
D
[
m
m
]
P
e
r
d
i
t
e
d
i
c
a
r
i
c
o
7
6
,
1
x
2
8
8
,
9
x
2
1
0
8
x
2
3
9
.
0
5
1
.
0
5
1
.
0
R
v
R
v
R
v
9
.
6
1
2
.
6
1
5
.
6
1
9
2
5
3
2
3
9
.
0
5
1
.
0
[
P
a
/
m
]
[
k
g
/
h
]
[
m
/
s
]
[
k
g
/
h
]
[
m
/
s
]
[
k
g
/
h
]
[
m
/
s
]
[
k
g
/
h
]
[
m
/
s
]
[
k
g
/
h
]
[
m
/
s
]
[
k
g
/
h
]
[
m
/
s
]
[
P
a
/
m
]
[
k
g
/
h
]
[
m
/
s
]
[
k
g
/
h
]
[
m
/
s
]
[
P
a
/
m
]
[
k
g
/
h
]
[
m
/
s
]
[
k
g
/
h
]
[
m
/
s
]
[
k
g
/
h
]
[
m
/
s
]
2
9
2
9
0
,
1
1
6
1
0
,
1
4
1
0
9
0
,
1
6
1
8
7
0
,
1
9
3
9
3
0
,
2
3
7
6
6
0
,
2
7
1
3
3
2
3
0
0
,
1
2
6
4
0
,
1
5
1
1
5
0
,
1
7
1
9
7
0
,
2
4
1
4
0
,
2
4
8
0
7
0
,
2
9
2
2
3
5
3
2
0
,
1
3
6
7
0
,
1
5
1
2
1
0
,
1
8
2
0
7
0
,
2
1
4
3
5
0
,
2
5
8
4
7
0
,
3
0
2
9
3
9
3
4
0
,
1
3
7
2
0
,
1
6
1
2
8
0
,
1
9
2
1
9
0
,
2
2
4
6
1
0
,
2
7
8
9
8
0
,
3
2
3
2
4
4
3
6
0
,
1
4
7
7
0
,
1
7
1
3
7
0
,
2
1
2
3
4
0
,
2
4
4
9
3
0
,
2
9
9
5
8
0
,
3
4
3
9
4
9
3
9
0
,
1
5
8
1
0
,
1
9
1
4
6
0
,
2
2
2
4
9
0
,
2
5
5
2
2
0
,
3
1
.
0
1
6
0
,
3
6
4
7
5
4
4
1
0
,
1
6
8
6
0
,
2
1
5
4
0
,
2
3
2
6
2
0
,
2
6
5
5
1
0
,
3
2
1
.
0
7
0
0
,
3
8
5
3
5
9
4
3
0
,
1
7
9
0
0
,
2
1
6
1
0
,
2
4
2
7
5
0
,
2
8
5
7
8
0
,
3
4
1
.
1
2
3
0
,
4
0
6
3
6
4
4
5
0
,
1
8
9
4
0
,
2
2
1
6
9
0
,
2
5
2
8
8
0
,
2
9
6
0
4
0
,
3
5
1
.
1
7
3
0
,
4
2
7
2
6
9
4
7
0
,
1
8
9
8
0
,
2
3
1
7
6
0
,
2
6
3
0
0
0
,
3
6
2
9
0
,
3
7
1
.
2
2
2
0
,
4
3
7
8
7
4
4
9
0
,
1
9
1
0
2
0
,
2
3
1
8
3
0
,
2
7
3
1
2
0
,
3
1
6
5
4
0
,
3
8
1
.
2
6
9
0
,
4
6
8
9
7
8
5
0
0
,
2
1
0
6
0
,
2
4
1
8
9
0
,
2
8
3
2
3
0
,
3
3
6
7
8
0
,
4
1
.
3
1
5
0
,
4
7
9
8
8
8
5
4
0
,
2
1
1
1
3
0
,
2
6
2
0
2
0
,
3
3
4
5
0
,
3
5
7
2
3
0
,
4
2
1
.
4
0
2
0
,
5
0
1
0
3
9
8
5
7
0
.
2
3
1
2
0
0
,
2
8
2
1
5
0
,
3
2
3
6
6
0
,
3
7
7
6
6
0
,
4
5
1
.
4
8
5
0
,
5
3
1
0
8
1
0
8
6
0
0
,
2
4
1
2
7
0
,
2
9
2
2
6
0
,
3
4
3
8
6
0
,
3
9
8
0
7
0
,
4
7
1
.
5
6
5
0
,
5
6
1
1
8
1
1
8
6
3
0
,
2
5
1
3
3
0
,
3
1
2
3
8
0
,
3
6
4
0
5
0
,
4
1
8
4
6
0
,
4
9
1
.
6
4
0
0
,
5
8
1
3
0
1
2
8
6
6
0
,
2
6
1
4
0
0
,
3
2
2
4
8
0
,
3
7
4
2
3
0
,
4
3
8
8
4
0
,
5
2
1
.
7
1
3
0
,
6
1
1
3
7
1
3
7
6
9
0
,
2
7
1
4
5
0
,
3
3
2
5
9
0
,
3
9
4
4
0
0
,
4
4
9
2
1
0
,
5
4
1
.
7
8
3
0
,
6
3
1
5
1
1
4
7
7
2
0
,
2
8
1
5
1
0
,
3
5
2
6
9
0
,
4
4
5
7
0
,
4
6
9
5
6
0
,
5
6
1
.
8
5
1
0
,
6
6
1
5
7
1
5
7
7
5
0
,
2
9
1
5
6
0
,
3
6
2
7
9
0
,
4
2
4
7
4
0
,
4
8
9
9
0
0
,
5
8
1
.
9
1
6
0
,
6
8
1
6
4
1
6
7
7
7
0
,
3
1
6
2
0
,
3
7
2
8
8
0
,
4
3
4
9
0
0
,
4
9
1
.
0
2
3
0
,
6
1
.
9
8
0
0
,
7
0
1
8
0
1
7
7
8
0
0
,
3
1
1
6
7
0
,
3
8
2
9
7
0
,
4
5
5
0
5
0
,
5
1
1
.
0
5
6
0
,
6
2
2
.
0
4
2
0
,
7
3
1
9
6
1
8
6
8
2
0
,
3
2
1
6
7
0
,
3
9
3
0
6
0
,
4
6
5
2
1
0
,
5
3
1
.
0
8
7
0
,
6
3
2
.
1
0
2
0
,
7
5
2
0
1
1
9
6
8
5
0
,
3
3
1
7
2
0
,
4
1
3
1
5
0
,
4
7
5
3
5
0
,
5
4
1
.
1
1
8
0
,
6
6
2
.
1
6
1
0
,
7
7
2
0
7
2
1
6
8
9
0
,
3
5
1
8
6
0
,
4
3
3
3
2
0
,
5
5
6
4
0
,
5
7
1
.
1
7
7
0
,
6
9
2
.
2
7
5
0
,
8
1
2
1
6
2
3
5
9
4
0
,
3
7
1
9
6
0
,
4
5
3
4
8
0
,
5
2
5
9
1
0
,
6
1
.
2
3
4
0
,
7
2
2
.
3
8
4
0
,
8
5
2
2
5
2
5
5
9
8
0
,
3
9
2
0
4
0
,
4
7
3
6
4
0
,
5
4
6
1
8
0
,
6
2
1
.
2
8
8
0
,
7
5
2
.
4
8
8
0
,
8
9
2
3
5
2
7
5
1
0
2
0
,
4
2
1
3
0
,
4
9
3
7
9
0
,
5
7
6
4
3
0
,
6
5
1
.
3
4
1
0
,
7
8
2
.
5
8
9
0
,
9
2
2
5
5
2
9
4
1
0
6
0
,
4
2
2
2
1
0
,
5
1
3
9
4
0
,
5
9
6
6
8
0
,
6
7
1
.
3
9
1
0
,
8
1
2
.
6
8
7
0
,
9
6
2
7
0
3
2
4
1
1
2
0
,
4
4
2
3
3
0
,
5
3
4
1
4
0
,
6
2
7
0
3
0
,
7
1
1
.
4
6
4
0
,
8
5
2
.
8
2
7
1
,
0
0
2
7
9
3
5
3
1
1
4
0
,
4
6
2
4
4
0
,
5
6
4
3
4
0
,
6
5
7
3
7
0
,
7
4
1
.
5
3
4
0
,
8
9
2
.
9
6
1
1
,
0
5
2
8
3
3
9
2
1
1
7
0
,
4
9
2
5
9
0
,
5
9
4
6
0
0
,
6
9
7
8
0
0
,
7
9
1
.
6
2
4
0
,
9
5
3
.
1
3
2
1
,
1
1
2
9
4
4
4
1
1
3
3
0
,
5
2
2
7
6
0
,
6
3
4
6
0
0
,
7
3
8
3
1
0
,
8
4
1
.
7
2
9
1
3
.
3
3
4
1
,
1
9
3
0
9
4
9
0
1
4
0
0
,
5
5
2
9
2
0
,
6
7
5
1
9
0
,
7
8
8
8
0
0
,
8
9
1
.
8
2
9
1
,
0
7
3
.
5
2
6
1
,
2
6
3
1
9
5
4
0
1
4
8
0
,
5
8
3
0
8
0
,
7
1
5
4
6
0
,
8
2
9
2
6
0
,
9
3
1
.
9
2
4
1
,
1
2
3
.
7
0
9
1
,
3
2
3
2
9
5
8
9
1
5
5
0
,
6
1
3
2
3
0
,
7
4
5
7
2
0
,
8
6
9
7
0
0
,
9
8
2
.
0
1
6
1
,
1
7
3
.
8
8
3
1
,
3
8
3
5
3
6
3
8
1
6
2
0
,
6
4
3
3
7
0
,
7
7
5
9
8
0
,
8
9
1
.
0
1
2
1
,
0
2
2
.
1
0
3
1
,
2
3
4
.
0
5
1
1
,
4
4
3
6
8
6
8
7
1
6
9
0
,
6
6
3
5
1
0
,
8
6
2
2
0
,
9
3
1
.
0
5
3
1
,
0
6
2
.
1
8
8
1
,
2
7
4
.
2
1
3
1
,
5
0
3
7
4
7
3
6
1
7
5
0
,
6
9
3
6
4
0
,
8
2
6
4
5
0
,
9
7
1
.
0
9
3
1
,
1
2
.
2
6
9
1
,
3
2
4
.
3
6
9
1
,
5
5
3
9
2
7
8
5
1
8
2
0
,
7
2
3
7
7
0
,
8
7
6
6
8
1
1
.
1
3
1
1
,
1
4
2
.
3
4
8
1
,
3
7
4
.
5
2
0
1
,
6
1
4
0
7
8
8
3
1
9
4
0
,
7
6
4
0
2
0
,
9
2
7
1
2
1
,
0
6
1
.
2
0
4
1
,
2
1
2
.
4
9
9
1
,
4
6
4
.
8
0
8
1
,
7
1
4
4
1
9
8
1
2
0
5
0
,
8
1
4
2
5
0
,
9
8
7
5
3
1
,
1
3
1
.
2
7
4
1
,
2
8
2
.
6
4
2
1
,
5
4
5
.
0
8
2
1
,
8
1
4
5
2
8
3
5
0
,
2
1
.
6
4
0
0
,
2
3
1
.
0
8
6
0
,
2
6
2
.
2
1
0
0
,
3
1
1
.
2
5
3
0
,
3
2
.
5
7
0
0
,
3
6
1
.
3
3
6
0
,
3
2
2
.
7
1
2
0
,
3
8
1
.
5
0
3
0
,
3
6
3
.
0
0
0
0
,
4
2
1
.
6
7
0
0
,
4
3
.
2
8
5
0
,
4
6
1
.
7
5
5
0
,
4
2
3
.
5
7
0
0
,
5
0
1
.
9
4
0
0
,
4
6
3
.
8
8
0
0
,
5
4
2
.
1
0
0
0
,
5
4
.
1
5
0
0
,
5
8
2
.
1
8
0
0
,
5
2
4
.
3
1
0
0
,
6
0
2
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33