7. When just full, a reservoir has a surface area of 0.8 km², and this area is approximately constant as the water depth above this level, h, increases (where his in metres). The outflow from the reservoir is given (in m³/s) by the formula O = 90 h¹². Consider a scenario in which this reservoir is subjected to a flood with flow rates given in the table below. 0 1 2 3 4 5 Time (hours) Inflow (m/s) 0 18 22 12 6 0 a) What is the total volume of water represented by this flood? b) Carry out a flood storage routing calculation. Find the maximum water depth in the reservoir and its maximum outflow rate, and the time when this occurs.

3. At a particular time, the storage in a river reach is 60 x 10³ m³. At that time, the inflow into the reach is 10 m³/s and the outflow is 16 m³/s. after two hours, the inflow and the outflow are 18 m3/s and 20 m³/s respectively. Determine the change in storage during two hours period and the storage volume after two hours. 4 500 x 106 m³ of water has been stored in the reservoir of a dam at the beginning of November

Water flows at a rate of 28 L/s through a horizontal pipe whose diameter is constant at 3 cm. The pressure drop across a valve in the pipe is measured to be 2 kPa, as shown in the given figure. Determine the irreversible head loss of the valve and the useful pumping power needed to overcome the resulting pressure drop. Take the density of water to be p-1000 kg/m³ Water AP=2 kPa The irreversible head loss of the valve is The useful pumping power needed to overcome the head loss is m. W