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GATE Mechanical Engineering (ME) 2019 Shift 1 Solved Paper
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© examsnet.com
Question : 50
Total: 65
Three slabs are joined together as shown in the figure. There is no thermal contact resistance at interfaces. The center slab experiences a non-uniform internal heat generation with an average value equal to
10000
W
m
−
3
, while the left and right slabs have no internal heat generation. All slabs have thickness equal to
1
m
and thermal conductivity of each slab is equal to 5
W
m
−
1
K
−
1
. The two extreme faces are exposed to fluid with heat transfer coefficient
100
W
m
−
2
K
−
1
and bulk temperature
30
∘
C
as shown. The heat transfer in the slabs is assumed to be one dimensional and steady, and all properties are constant. If the left extreme face temperature
T
1
is measured to be
100
∘
C
, the right extreme face temperature
T
2
is __________________
∘
C
.
Your Answer:
Validate
Solution:
Total heat generated = Heat convicted from both the sides to the ambient
q
×
A
×
L
=
h
×
A
×
(
100
−
30
)
+
h
×
A
×
(
T
2
−
30
)
10000
×
1
=
100
×
70
+
100
×
(
T
2
−
30
)
⇒
T
2
−
30
=
30
Or,
T
2
=
60
∘
C
© examsnet.com
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