The coordinates of instantaneous unit hydrograph (IUH) of a catchment…

Previous year question for Hydrology and Irrigation Engineering.

Question

The coordinates of instantaneous unit hydrograph (IUH) of a catchment are given below. Derive the direct runoff hydrograph (DRH) for this catchment due to a storm of duration $4\text{ hours}$ and having a rainfall excess of $5\text{cm}$. (20)

| Time (hours) | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 |

|---|---|---|---|---|---|---|---|---|---|---|---|---|---|

| IUH ordinates u(t) $(\text{m}^3\text{/s})$ | 0 | 8 | 35 | 50 | 47 | 40 | 31 | 23 | 15 | 10 | 6 | 3 | 0 |

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