7. As shown in the figure below, a pump lifts water through a 100-mm diameter ductile iron pipe (friction factor f = 0.0251) from a lower to an upper reservoir. If the difference in elevation between the reservoir surfaces is 10m, and the pump performance curve is given by H = 15 - 0.1Q2, where H is in m and Q in L/s. (1) Determine the system head curve (relationship between TDH and Q) assuming the entrance and exit loss coefficients are both 1; (2) Estimate the flow rate through the system; (3) If the minimum NPSH for this case is 1.5m, determine the maximum height above the lower reservoir that the pump can be placed (assuming that the atmospheric pressure Pa=101 kPa, specific weight of water γ = 9.79 kN/m3, and the water vapor pressure Pv = 2.34 kPa).

Structural Analysis
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ISBN:9781337630931
Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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7. As shown in the figure below, a pump lifts water through a 100-mm diameter ductile iron pipe (friction factor f = 0.0251) from a lower to an upper reservoir. If the difference in elevation between the reservoir surfaces is 10m, and the pump performance curve is given by H = 15 - 0.1Q2, where H is in m and Q in L/s.

(1) Determine the system head curve (relationship between TDH and Q) assuming the entrance and exit loss coefficients are both 1;

(2) Estimate the flow rate through the system;

(3) If the minimum NPSH for this case is 1.5m, determine the maximum height above the lower reservoir that the pump can be placed (assuming that the atmospheric pressure Pa=101 kPa, specific weight of water γ = 9.79 kN/m3, and the water vapor pressure Pv = 2.34 kPa).

As shown in the figure below, a pump lifts water through a 100-mm diameter ductile iron
pipe (friction factor f = 0.0251) from a lower to an upper reservoir. If the difference in elevation
between the reservoir surfaces is 10 m, and the pump performance curve is given by H= 15 – 0.10,
where H is in m and Q in L/s.
(1) Determine the system head curve (relationship between TDH and Q) assuming the entrance and exit
loss coefficients are both 1;
(2) Estimate the flow rate through the system;
(3) If the minimum NPSH for this case is 1.5 m, determine the maximum height above the lower
reservoir that the pump can be placed (assuming that the atmospheric pressure P=101 kPa, specific
weight of water 7= 9.79 kN/m, and the water vapor pressure P = 2.34 kPa).
100 m
Upper
reservoir
10 m
3 m
1 m
Lower
reservoir
Transcribed Image Text:As shown in the figure below, a pump lifts water through a 100-mm diameter ductile iron pipe (friction factor f = 0.0251) from a lower to an upper reservoir. If the difference in elevation between the reservoir surfaces is 10 m, and the pump performance curve is given by H= 15 – 0.10, where H is in m and Q in L/s. (1) Determine the system head curve (relationship between TDH and Q) assuming the entrance and exit loss coefficients are both 1; (2) Estimate the flow rate through the system; (3) If the minimum NPSH for this case is 1.5 m, determine the maximum height above the lower reservoir that the pump can be placed (assuming that the atmospheric pressure P=101 kPa, specific weight of water 7= 9.79 kN/m, and the water vapor pressure P = 2.34 kPa). 100 m Upper reservoir 10 m 3 m 1 m Lower reservoir
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