Bagnell Dam impounds the Osage River in the U.S. state of Missouri, creating the Lake of the Ozarks. The 148-foot (45 m) tall concrete gravity dam was built by the Union Electric Company (now AmerenUE) for the purpose of hydroelectric power generation at its Osage Powerplant. It is 2,543 feet (775 m) long, including a 520-foot (160 m) long spillway and a 511-foot (156 m) long power station. The facility with eight generators has a maximum capacity of 215 megawatts. Using the diagram of the flow-path between the upper and lower reservoir, and assuming a flow rate of 3910 ft3/s to each generator, calculate: a)Head loss due to viscous effect (include both major and minor losses). b)Your estimate of the power generation capacity of an individual turbine-generator unit assuming 85% efficiency Work this problem in English units

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Bagnell Dam impounds the Osage River in the U.S. state of Missouri, creating the Lake of the Ozarks.

The 148-foot (45 m) tall concrete gravity dam was built by the Union Electric Company (now AmerenUE) for the purpose of hydroelectric power generation at its Osage Powerplant.

It is 2,543 feet (775 m) long, including a 520-foot (160 m) long spillway and a 511-foot (156 m) long power station. The facility with eight generators has a maximum capacity of 215 megawatts.

Using the diagram of the flow-path between the upper and lower reservoir, and assuming a flow rate of 3910 ft3/s to each generator, calculate:

a)Head loss due to viscous effect (include both major and minor losses).

b)Your estimate of the power generation capacity of an individual turbine-generator unit assuming 85% efficiency

Work this problem in English units

10 an darty Cr
Water temperature 70°F
All flow passages are
lined with commercial
Reservoir Elevation 660 ft
tin
steel cladding
tes
Sharp edged entrance
K=0.5
Eevm lep
F
R Stl le
-fr tae
Der t
Penstock length 81½ ft;
diameter 20 ft
Tail Water Elev
572.5 ft
One 45° smooth bend K=0.2
Ehe
Draft tube
length 80 ft;
diameter 20 ft
t fe
Sharp-edged exit
K_=1.0
One 90° smooth bend K=0.45
CROSS SECTION
eYEROCLECTRE STATION-OSASE PRKET
UNON ELECTRIC LIGHT A POWER CO
TE Atorce Do corownON
KE FEET
Transcribed Image Text:10 an darty Cr Water temperature 70°F All flow passages are lined with commercial Reservoir Elevation 660 ft tin steel cladding tes Sharp edged entrance K=0.5 Eevm lep F R Stl le -fr tae Der t Penstock length 81½ ft; diameter 20 ft Tail Water Elev 572.5 ft One 45° smooth bend K=0.2 Ehe Draft tube length 80 ft; diameter 20 ft t fe Sharp-edged exit K_=1.0 One 90° smooth bend K=0.45 CROSS SECTION eYEROCLECTRE STATION-OSASE PRKET UNON ELECTRIC LIGHT A POWER CO TE Atorce Do corownON KE FEET
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