Problem 3. Performance data for a pump are given in the table below. From a curve fit to the data, the pump curve is given by H₂ = H0 - C₂ Q² where H₁ = 180 ft and C₂ = 1.524 × 10-5 ft/gpm². This pump is used to move water at STP between two open reservoirs with an elevation increase of Az = 50 ft through a commercial steel pipe of length L = 1200 ft and diameter D = 1.0 ft that contains two 90° elbows (equivalent length of 30 diameters) and an open gate valve (equivalent length of 8 diameters). The flow entrance and exit for the reservoirs are abrupt. (a) Plot the pump curve and system curve on the same figure. (b) Calculate the flowrate with the gate valve open. (c) Calculate the equivalent length for the gate valve in order to reduce the flowrate by half. NOTE: Your calculations for this problem will require iteration because the friction factor for this case does depend on Q. Thus, it is recommended you use either EES (see solution for Example 19 from lecture) or Excel to get converged values. Q (gpm) 0 500 1000 1500 2000 2500 3000 Hp (ft) 179 176 165 145 119 84 43
Problem 3. Performance data for a pump are given in the table below. From a curve fit to the data, the pump curve is given by H₂ = H0 - C₂ Q² where H₁ = 180 ft and C₂ = 1.524 × 10-5 ft/gpm². This pump is used to move water at STP between two open reservoirs with an elevation increase of Az = 50 ft through a commercial steel pipe of length L = 1200 ft and diameter D = 1.0 ft that contains two 90° elbows (equivalent length of 30 diameters) and an open gate valve (equivalent length of 8 diameters). The flow entrance and exit for the reservoirs are abrupt. (a) Plot the pump curve and system curve on the same figure. (b) Calculate the flowrate with the gate valve open. (c) Calculate the equivalent length for the gate valve in order to reduce the flowrate by half. NOTE: Your calculations for this problem will require iteration because the friction factor for this case does depend on Q. Thus, it is recommended you use either EES (see solution for Example 19 from lecture) or Excel to get converged values. Q (gpm) 0 500 1000 1500 2000 2500 3000 Hp (ft) 179 176 165 145 119 84 43
International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter8: Centroids And Distributed Loads
Section: Chapter Questions
Problem 8.85P: Find the surface area of the 90 duct elbow.
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Transcribed Image Text:Problem 3. Performance data for a pump are given in the table below. From a curve fit to the data, the pump
curve is given by H₂ = H0 - C₂ Q² where H₁ = 180 ft and C₂ = 1.524 × 10-5 ft/gpm². This pump is
used to move water at STP between two open reservoirs with an elevation increase of Az = 50 ft through a
commercial steel pipe of length L = 1200 ft and diameter D = 1.0 ft that contains two 90° elbows
(equivalent length of 30 diameters) and an open gate valve (equivalent length of 8 diameters). The flow entrance
and exit for the reservoirs are abrupt. (a) Plot the pump curve and system curve on the same figure. (b) Calculate
the flowrate with the gate valve open. (c) Calculate the equivalent length for the gate valve in order to reduce the
flowrate by half. NOTE: Your calculations for this problem will require iteration because the friction factor for this
case does depend on Q. Thus, it is recommended you use either EES (see solution for Example 19 from lecture)
or Excel to get converged values.
Q (gpm)
0
500
1000
1500
2000
2500
3000
Hp (ft)
179
176
165
145
119
84
43
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