Problem

The 2-hr unit hydrograph for a basin is given by the following table: Time (hr)0123456789Q...

The 2-hr unit hydrograph for a basin is given by the following table:

Time (hr)

0

1

2

3

4

5

6

7

8

9

Q (cfs)

0

60

200

300

200

120

60

30

10

0

(a) Determine the hourly discharge values (in cfs) from the basin for a net rain of 5 in./hr and a rainfall duration of 2 hr.


(b) Determine the direct runoff (in inches) for the storm of part (a). What is the direct runoff for a net rain of 0.5 in./hr and a duration of 2 hr?


(c) Rain falls on the basin at a rate of 4.5 in./hr for a 2-hr period and abruptly increases to a rate of 6.5 in./hr for a second 2-hr period. Convert these actual intensities to net rain intensities using a ϕ index of 0.5 in./hr. Construct a table that properly lags and amplifies the 2-hr unit hydrograph, and determine the hourly ordinates (in cfs) of direct runoff for the storm. The derived direct runoff hydrograph should begin and end with zero discharge values.

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