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Unformatted text preview: 57:020 Mechanics of Fluids and Transport
October 27, 2010 NAME
FluidsID
Quiz 7. The pumpturbine 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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 Fall '10
 FredrickStern
 Power

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