Civil Engineering Reference
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Fig. 8.3 Heat transfer through a multilayer pipe
8.3.2 Cylindrical Surface Multilayer System (See Fig. 8.3 )
This example is typical of pipelines for steam or other hot fluids. The same
approach can also be followed in the case of cold fluids.
The flow of heat is:
t i
t o
Q
¼
A
R th
where A
Lr i ) surface of the pipeline of length
L . Note that the R th expression will be modified by the choice between the outside
and the inside surface, r i ¼
¼
the outside (2
π
Lr o ) or the inside (2
π
inside pipe radius, r o ¼
outside multilayer pipe radius.
Thus:
outside surface
(m 2 )
(ft 2 )
A
¼
2
π
L
r o (outside surface)
X n
r o
r i þ
1 j r o
ln r j þ 1
1
h i
1
h o
m 2
C
ft 2
F
R th ¼
k j
r j þ
=
W
h
=
Btu
inside surface
(m 2 )
(ft 2 )
A
¼
2
π
L
r i (inside surface)
X n
1 j r i
ln r j þ 1
r i
r o
1
h i þ
1
h o
m 2
C
ft 2
F
R th ¼
k j
r j þ
=
W
h
=
Btu
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