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 in either direction, the friction head loss is 17 ft. Estimate the power in kW: (a) extracted by the turbine and (b) delivered by the 1- Select coordinates and points 1 and 2 2- Write down your assumptions 3- Apply Energy Eq. and start finding P, V, and z for points 1 and 2 as well as head (h) values 4- Solve for unknown (1) Z₁ = 150 ft pump. Water at 20°C Pump- turbine (2) 2 Z₂ = 25 ft P1 V² + pg 2g P2 V + +Z2+hfriction + hTurbine - hpump [pressure head] 29 +Z1 = pg

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Chapter10: Heat Exchangers
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Problem 10.19P
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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 in either direction, the friction head loss
is 17 ft. Estimate the power in kW: (a) extracted by the turbine and (b) delivered by the
1- Select coordinates and points 1 and 2
2- Write down your assumptions
3- Apply Energy Eq. and start finding P, V, and z for
points 1 and 2 as well as head (h) values
4- Solve for unknown
(1)
Z₁ = 150 ft
pump.
Water at 20°C
Pump-
turbine
(2)
2
Z₂ = 25 ft
P1 V²
+
pg 2g
P2 V
+
+Z2+hfriction + hTurbine - hpump [pressure head]
29
+Z1 =
pg
Transcribed Image Text: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 in either direction, the friction head loss is 17 ft. Estimate the power in kW: (a) extracted by the turbine and (b) delivered by the 1- Select coordinates and points 1 and 2 2- Write down your assumptions 3- Apply Energy Eq. and start finding P, V, and z for points 1 and 2 as well as head (h) values 4- Solve for unknown (1) Z₁ = 150 ft pump. Water at 20°C Pump- turbine (2) 2 Z₂ = 25 ft P1 V² + pg 2g P2 V + +Z2+hfriction + hTurbine - hpump [pressure head] 29 +Z1 = pg
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