GATE CE 2017 Set 1 — Question 24
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Water Resources Engineering → Hydrographs & Groundwater → Unit Hydrographs
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Question
The ordinates of a -hour unit hydrograph for a catchment are given as
The ordinate (in ) of a -hour unit hydrograph for this catchment at the time of would be __________
| Time (h) | 0 | 1 | 2 | 3 | 4 |
|---|---|---|---|---|---|
| Ordinate () | 0 | 5 | 12 | 25 | 41 |
Correct answer
15 to 15
Solution
A -hour unit hydrograph can be derived from a -hour unit hydrograph by lagging the -hour UH by hours and taking the average of the ordinates, then adjusting for the duration ratio.
Let be the ordinate of the -hour UH at time .
The ordinate of the -hour UH, , is given by:
At :
From the table:
.
Let be the ordinate of the -hour UH at time .
The ordinate of the -hour UH, , is given by:
At :
From the table:
.
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