GATE CE 2016 Set 2 — Question 56
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Water Resources Engineering → Hydrographs & Groundwater → Unit Hydrographs
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Question
The ordinates of a one-hour unit hydrograph at sixty minute interval are 0, 3, 12, 8, 6, 3 and 0 . A two-hour storm of 4 cm excess rainfall occurred in the basin from 10 AM. Considering constant base flow of 20 , the flow of the river (expressed in ) at 1 PM is _________
Correct answer
59 to 61
Solution
Given the 1-hour unit hydrograph (UH) ordinates at 60-minute intervals:
.A 2-hour storm starts at 10 AM. We need the flow at 1 PM, which is hours after the start of the storm.
The total excess rainfall is cm over 2 hours.First, we derive the 2-hour UH ordinates () from the 1-hour UH ordinates:
At hours:
per cm of excess rainfall.The surface runoff at hours for 4 cm of excess rainfall is:
.Total flow of the river = Surface runoff + Base flow
.
.A 2-hour storm starts at 10 AM. We need the flow at 1 PM, which is hours after the start of the storm.
The total excess rainfall is cm over 2 hours.First, we derive the 2-hour UH ordinates () from the 1-hour UH ordinates:
At hours:
per cm of excess rainfall.The surface runoff at hours for 4 cm of excess rainfall is:
.Total flow of the river = Surface runoff + Base flow
.
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