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GATE Civil Engineering (CE) 2020 Shift 1 Solved Paper
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© examsnet.com
Question : 62
Total: 65
Three reservoirs
P
,
Q
, and
R
are interconnected by pipes as shown in the figure (not drawn to the scale). Piezomtric head at the junction
S
of the pipes is
100
m
. Assume acceleration due to gravity as
9.81
m
/
s
2
and density of water as
1000
k
g
/
m
3
. The length of the pipe from junction
S
to the inlet of reservoir
R
is
180
m
.
Considering head loss only due to friction (with friction factor of 0.03 for all the pipes), the height of water level in the lowermost reservoir R (in m, round off to one decimal place) with respect to the datum, is _____.
Your Answer:
Validate
Solution:
We know that,
Q
s
=
Q
B
1
+
Q
B
2
By continuity equation,
⇒
Q
s
=
A
1
V
1
+
A
2
V
2
=
Q
=
π
4
×
0.3
2
×
2.56
+
π
4
×
0.3
2
×
1.98
=
0.3209
m
3
/
s
Apply energy equation at 1 and 2
∴
H
1
=
H
2
+
h
f
100
=
z
+
8
Q
3
2
z
2
g
×
f
3
D
3
5
⇒
100
=
z
+
8
×
0.3209
2
z
2
g
×
0.03
×
180
0.45
5
⇒
z
=
97.51
m
© examsnet.com
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