A reservoir with a length of 20 km and width of 3 km has a flood inflow of 1000

Question

A reservoir with a length of 20 km and width of 3 km has a flood inflow of 1000 m^3/s. (a) If exit flow is restricted to 500 m^3/s, how fast is the water level rising in the reservoir per day? (Answer is between 0.5-1 m/day). (b) If the exit flow is a spillway that follows the formula for flow over a weir (Ch. 3 Munson book), set up the mass balance equation that governs the rise of water. Will water levels rise at the same rate as in (a), at a lesser rate, or a greater rate? What three additional pieces of information would we need to solve the problem?

Explanation / Answer

a) Water level rise per day = (1000 - 500)/(20*10^3*3*10^3)*(60*60*24) = 0.72 m/day

b) I don't have the mentioned book.

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