The hydroelectric facility that has been proposed will consist of a turbine with an efficiency of 89.2%. The facility will be located at a vertical depth of 14.8 m below the riverbed. The river flows...

The hydroelectric facility that has been proposed will consist of a turbine with an
efficiency of 89.2%. The facility will be located at a vertical depth of 14.8 m below
the riverbed. The river flows with the following properties:
o hydraulic diameter of 6.25 m
o slope of 0.031
o wetted perimeter of 12.2 m
o a Chezy coefficient of 4.85 m
0
-
5
s1
.
Thedensity of the river water is 998.2 kg m3
, and the acceleration due to gravity is
9.81 m s2.
Assuming that the turbine operates for 94.0% of the time and one year is
approximately 3.1536 x 107
s, calculate:
i. the mass flow rate of the river
(5 marks)
ii. the maximum energy that could be extracted annually from the river flow.