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GATE Mechanical Engineering (ME) 2020 Shift 2 Solved Paper
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© examsnet.com
Question : 17
Total: 65
In a furnace, the inner and outer sides of the brick wall
(
k
1
=
2.5
W
/
m
⋅
K
)
are maintained at
1100
∘
C
and
700
∘
C
, respectively as shown in figure.
The brick wall is covered by an insulating material of thermal conductivity
k
2
. The thickness of the insulation is
1
/
4
th
of the thickness of the brick wall. The outer surface of the insulation is at
200
∘
C
. The heat flux through the composite walls is
2500
W
/
m
2
. The value of
k
2
is ___________W/m.K (round off to one decimal place).
Your Answer:
Validate
Solution:
Heat flux will be same through both the brick wall and insulation.
Thus,
Q
=
k
1
(
1100
−
700
)
L
1
=
k
2
(
700
−
200
)
L
2
Given
L
2
=
L
1
4
k
1
×
400
L
1
=
k
2
(
500
)
×
4
L
1
2.5
×
400
=
2000
×
k
2
k
2
=
1000
2000
=
0.5
W
/
m
−
k
© examsnet.com
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