GATE CE 2023 Set 1 — Question 33
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Water Resources Engineering → Irrigation Systems & Water Need → Crop Water Requirements
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Question
A canal supplies water to an area growing wheat over 100 hectares. The duration between the first and last watering is 120 days, and the total depth of water required by the crop is 35 cm. The most intense watering is required over a period of 30 days and requires a total depth of water equal to 12 cm. Assuming precipitation to be negligible and neglecting all losses, the minimum discharge (in m/s, rounded off to three decimal places) in the canal to satisfy the crop requirement is __________________.
Correct answer
0.045 to 0.047
Solution
We need to find the discharge required for both the total period and the most intense (core) period. The canal must be designed for the maximum of these two requirements.Case 1: Total period
Area, ha
Base period, days
Total depth (Delta), cm = m
Duty, ha/cumec
Discharge, m/sCase 2: Most intense (core) period
Area, ha
Core period, days
Core depth, cm = m
Duty, ha/cumec
Discharge, m/sThe minimum discharge required to satisfy the crop requirement is the maximum of and :
m/sRounding off to three decimal places, m/s.
Area, ha
Base period, days
Total depth (Delta), cm = m
Duty, ha/cumec
Discharge, m/sCase 2: Most intense (core) period
Area, ha
Core period, days
Core depth, cm = m
Duty, ha/cumec
Discharge, m/sThe minimum discharge required to satisfy the crop requirement is the maximum of and :
m/sRounding off to three decimal places, m/s.
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