Chapter 13, Problem 8P

During a prefeasibility survey, you have identified a feasible site for a micro hydropower scheme. If you’ve measured a gross head of 40 m, and from the hydrological analysis, a design flow of 150 l/s appears to be available throughout the year, what would be the likely installed capacity? Assume an overall efficiency of 60%.

Determine the total energy production of a run-of-river plant having an total efficiency of 85%. It receives flow by means of a penstock, 400m long with 1.2m diameter, and f=0.015 in Darcy-Weisbach equation. The available head is 200m and seasonal fluctuations of upstream and downstream water levels are ignored. The flow duration data are tabulated as below.

At a proposed hydroelectric power plant site, the average elevation of headwater is 600m and the tailwater elevation is 480m. The average annual water flow is determined to be equal to that volume flowing through a rectangular channel 4m wide and 0.5m deep and average velocity of 5.5m/s. Assuming the plant will operate 350 days/year, find the energy kwh that the plant site can developed if the hydraulic turbine that will be used has an efficiency of 78% and generator efficiency of 90%. Consider a headwork loss of 4% of the available head.

Water discharging into a 10 m wide rectangular horizontal channel from a sluice gate is observed to have undergone a hydraulic jump. The flow depth and velocity during the jump are 0.8 m and 7 m/s respectively. The wasted power production potential due to the hydraulic jump is kW. (round off to two decimal places)

Water is pumped 14.5 km from a reservoir at elevation 30 m to another reservoirat elevation 70 m. The steel pipeline connecting the reservoirs has a nominal diameter of 1400mm (the actual inside diameter is 1372 mm) with C = 90. If the flow is 1.18 m3/s, the pumpingefficiency is 82%, and electricity costs $0.14/kWh. Assuming that the density of water is 1000kg/m3, what will be the monthly power bill? Sketch the hydraulic and energy grade lines.

25   Which of the following power plant is an example of Tidal energy? a. Onshore system b. offshore System c. Salter Duck System d. None of these

A rectangular channel 2.0 m wide and 1.0 m deep carries a discharge of 4.0 m3/s. A horizontal datum is assumed 2.0 m below the channel bed at a certain point. Calculate the total energy and the specific energy at that point

2.1 A hydro-electric power station has a reservoir area of 2.7 km² and a capacity of 4.6 x 106m³. The effective head of water is 100 metres. The penstock, turbine and generation efficiencies are 95%, 90%, and 85%, respectively. Instructions :round off to 2 decimal places 1. Determine the total electrical energy that can be generated from the power station (kWh). 2. Determine the depth of the reservoir (metres) 3.Determine the fall in reservoir volume level is the load of 100 kW is supplied for 5 hours (%).

A- Two velocity components are given in the following case, find the third components such that it satisfies the continuity equation? u = x' + y +2, v= - x'y - yz - x B- Draw the energy lines between points A to B for the flow shown in figure (4) and demonstrate their components? Reservoir 1 Reservoir 2 Pipe Figure (4)