Agriculture Reference
In-Depth Information
Example 3.10
A farm of 25 ha is planned to be brought under sprinkler irrigation. The textural
class of the soil is loam-to-silt loam, having moisture content at field capacity (FC)
and permanent wilting point (WP) of about 42% (by volume) and 26% (by volume),
respectively. An infiltration test data showed that constant (basic) infiltration rate is
2 mm/h. A hardpan (relatively impervious layer) exists at a depth of 2.0 m below the
soil surface. Long-term average reference evapotranspiration (ET 0 ) rate in that area
is 4.5 mm/d. Vegetable crops are planned to grow in the farm, and the crop coef-
ficient ( K c ) at maximum vegetative period is 1.1. The climate is moderately windy
in a part of the season. Design the sprinkler irrigation system (various components)
for the farm. Assume standard value of any missing data.
Solution
Given,
250,000 m 2
Area, A
=
25 ha
=
FC
=
42% (by vol.)
WP
=
26%
I c =
2 mm/h
ET 0 =
4.5 mm/d
K c =
1.1
D imp =
2 m below soil surface
Wind status: moderately windy
Now, the solution steps:
(1) ET max =
4.95 mm/d
(Assuming depletion of soil-moisture up to readily available level, so that ET
occurs at its maximum rate, i.e., soil moisture stress factor, K s =
ET 0 ×
K c =
4.5
×
1.1
=
1)
(2) Daily water requirement for the area, A (i.e., for whole farm here) is
A
×
ET max
E a
V A =
Assuming application efficiency, E a =
80%, i.e., 0.8
×
/
250, 000
(4.95
1000)
1,546.875 m 3
Then, V A =
=
0.8
V A
t
(3) Discharge rate, Q t =
Here, t
=
irrigation period
=
4 h (assuming for the prevailing windy condition)
0.1074 m 3 /s
(4) Discharge rate of individual sprinkler, q
Thus, Q t =
1,546.875/(4
×
3,600)
=
=
S m ×
S l ×
I
S m =
D mm (1 - F /2)
S l =
D ml (1 - F /2)
 
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