Quiz7 - 57:020 Mechanics of Fluids and Transport October...

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Unformatted text preview: 57:020 Mechanics of Fluids and Transport October 27, 2010 NAME Fluids-ID Quiz 7. The pump-turbine system in the figure draws water from the upper reservoir in the daytime to produce power for a city. At night, it pumps water from lower to upper reservoirs to restore the situation. For a design flow rate of 15,000 gal/min (or 33.4 ft3/s) in either direction, the frictional head loss is 17 ft. Estimate the power in horse power (a) extracted by the turbine and (b) delivered by the pump. (Note: and ; = 62.4 lbf/ft3; 1 hp = 550 ftlbf/s) Energy equation: Solution: (a) For turbine operation, take the upper reservoir surface as the point “1” (i.e., upstream) in the energy equation, and with , , and , (+3 points) Thus, (+2 points) (b) For pump operation, take the lower reservoir surface as the point “1” (i.e., upstream) in the energy equation, and with , , and , (+3 points) Thus, (+2 points) ...
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