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GATE Civil Engineering (CE) 2018 Shift 2 Solved Paper
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© examsnet.com
Question : 44
Total: 65
Three soil specimens (Soil 1, Soil 2 and Soil 3 ), each
150
m
m
long and
100
m
m
diameter, are placed in series in a constant head flow set-up as shown in the figure. Suitable screens are provided at the boundaries of the specimens to keep them intact. The values of coefficient of permeability of Soil 1, Soil 2 and Soil 3 are
0.01
,
0.003
and
0.03
c
m
/
s
, respectively.
The value of
h
in the set-up is
0
m
m
40
m
m
255
m
m
560
m
m
Validate
Solution:
In normal to bedding plane flow (series arrangement), Discharge will be same and Head loss and Hydraulic gradient will be different.
q
=
K
1
i
1
A
=
K
2
i
2
A
=
K
3
i
3
A
=
K
a
n
g
⋅
(
H
L
L
)
A
K
avg
1
=
Σ
Z
1
Σ
Z
i
K
t
=
150
+
150
+
150
150
0.01
+
150
0.003
+
150
0.03
=
0.0064
Total head loss
=
H
L
=
560
m
m
K
3
⋅
h
150
×
A
=
K
avg
⋅
560
(
150
+
150
+
150
)
A
0.03
⋅
(
h
150
)
=
00064
(
560
450
)
h
=
40
m
m
© examsnet.com
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