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GATE Civil Engineering (CE) 2019 Shift 1 Solved Paper
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© examsnet.com
Question : 57
Total: 65
The hyetograph of a storm event of duration 140 minutes is shown in the figure.
The infiltration capacity at the start of this event
(
t
=
0
)
is
17
mm/hour, which linearly decreases to
10
mm/hour after 40 minutes duration. As the event progresses, the infiltration rate further drops down linearly to attain a value of
4
mm/hour at
t
=
100
minutes and remains constant thereafter till the end of the storm event. The value of the infiltration index,
φ
(in mm/hour, round off to 2 decimal places), is ______________
Your Answer:
Validate
Solution:
Depth of infiltration = Area of hyetograph above Horton's curve
=
(
15
×
20
60
+
10
×
20
60
+
8
×
20
60
)
−
10
+
4
2
×
60
60
=
4
m
m
Now, assuming
4
≤
φ
≤
8
(
8
−
φ
)
×
20
60
+
(
15
−
φ
)
×
20
60
+
(
10
−
φ
)
×
20
60
(
8
−
φ
)
×
20
60
=
4
41
−
4
φ
=
12
⇒
=
7.25
m
m
/
h
r
© examsnet.com
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