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Conduction Along a Composite Bar
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Conduction Along a Composite Bar
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Author:
Mohamad Alqarutee
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Bar
Conduction along a composite bar
Objective :
•
To study the conduction of heat along a composite bar and evaluate the overall heat transfer coefficient. Theory:
•
For study flow along the bar, the heat flow through successive slabs is the same for reasons of continuity and hence from Fourier's law: Q
= U * (T HS HS A Where :
1 U
=
X H K H
+
−
X S K S
T CS )
+
........
U is over all heat coefficients for the composite wall and 1/U is the over all resistance to heat flow.
•
Results :
Test no.
1
2
3
Q.w
10
15
20
T 1 .C .C
43.1
49.1
60.1
1
T 2 .C .C
40.4
46.2
56.1
2
T 3 .C .C
37.8
44.8
53.8
3
T 7 7 .C
18.9
19.5
21.6
7
T 8 .C .C
17.5
17.6
19.2
8
T 9 .C .C
16.3
16.5
17.8
9
•
∆x.cm
Figures :
-1-
70 Calculations :
•
Sample of calculation: At Q=15 w A =
d 2
U = 1
U
4 Q
A
=
K H
939 .02
K s
(T HS
x H
1
=
0.025 2
× π =
+
=
−
4
T CS )
x s K s 3
110
+
+
1
−
×
=
3.14
=
4.9 ×10
15 4.9 ×10
4
−
×
4
−
m2 1
(49 .1 −16 .5)
=
939 .02 w / m2 .C
xc
Actual
K c 3
+
K s
3 110
56 .095 w / m.C
K s= 45.326 w/m.C@ T= 17C ( Unit operation of chemical engineering) Q.(w)
K s .(w/m.C)
10
56.360
24.34
15
56.095
23.76
20
56.067
23.69
•
Error. %
Discussion :
________________________________________________________ ________________________________________________________ ________________________________________________________
C
-2-
________________________________________________________ ________________________________________________________ ________________________________________________________ ________________________________________________________ ________________________________________________________ ________________________________________________________ ________________________________________________________
•
Conclusions :
________________________________________________________ ________________________________________________________ ________________________________________________________ ________________________________________________________ ________________________________________________________ ________________________________________________________ ________________________________________________________ ________________________________________________________ ________________________________________________________ ________________________________________________________
-3-
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