Chapter 13, Problem 12P

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

Estimate the average power available in a tidal basin if the area of the tidalbasin A is 18 × 106 m2, the tidal range H is 4.6 m, and tidal period τ is9 h = 32,400 s. The sea water density ρ is 1025 kg/m3.

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.

Two reservoirs A and B have elevations of 250 m and 100 m,respectively. The two tanks are connected by a 250-mm diameterpipe, 250-m long, with a turbine placed along its length. If the flow ofwater in the pipe is 140 L/s and C = 120, then:Determine the power output of the turbine in kW if the efficiency ofthe turbine is 85%.

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.

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%.

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.

The following figure and table contains the water levels of the reservoirs in the system and the properties of the pipes.Calculate the current values ​​in the pipes ignoring the local head losses (ν = 10-6 m.2nd/s). Energy slope linedraw

Two reservoirs A and B have elevations of 250 m and 100 m, respectively. It is connected by a pipe having adiameter of 250 mm and a length of 100 m. A turbine, with an efficiency of 0.95, which is installed at a point inbetween A and B, is used to supply 233 kW of electric power to a nearby community. If the total head loss as watertravelled from reservoir A to B is 25 m, determine the discharge inside the pipe in liters per second.