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Answer :
The pump factor in units of gal/cycle at 100% volumetric efficiency for the given triplex pump with 6-in. liners and 11-in. strokes operating at 120 cycles/min and a discharge pressure of 3,000 psig is equal to the pump displacement per cycle in gallons, which is obtained by dividing the pump displacement per cycle (9π * 11 * 120 cubic inches) by 231 gallons.
To compute the pump factor in units of gal/cycle at 100% volumetric efficiency, we can follow these steps:
1. Determine the pump displacement per stroke:
- The pump displacement per stroke is the volume of fluid pumped in one stroke.
- Given that the liners have a diameter of 6 inches and the stroke length is 11 inches, we can calculate the cross-sectional area of the liners:
- Area = π * (diameter/2)^2 = π * (6/2)^2 = π * 3^2 = 9π square inches.
- Multiplying the cross-sectional area by the stroke length gives us the pump displacement per stroke:
- Pump displacement per stroke = Area * stroke length = 9π * 11 cubic inches.
2. Determine the pump displacement per cycle:
- Since the pump operates at 120 cycles per minute, the pump displacement per cycle is obtained by multiplying the pump displacement per stroke by the number of strokes per minute:
- Pump displacement per cycle = Pump displacement per stroke * Strokes per minute.
- In this case, the strokes per minute is 120, so:
- Pump displacement per cycle = 9π * 11 * 120 cubic inches.
3. Convert the pump displacement to gallons:
- To convert the pump displacement from cubic inches to gallons, we need to know the conversion factor.
- There are 231 cubic inches in 1 US gallon.
- Divide the pump displacement per cycle by the conversion factor to obtain the pump displacement per cycle in gallons:
- Pump displacement per cycle in gallons = Pump displacement per cycle / 231 gallons.
4. Calculate the pump factor:
- The pump factor is the pump displacement per cycle in gallons at 100% volumetric efficiency.
- In this case, the pump factor would be equal to the pump displacement per cycle in gallons calculated in step 3.
So, the pump factor in units of gal/cycle at 100% volumetric efficiency for the given triplex pump with 6-in. liners and 11-in. strokes operating at 120 cycles/min and a discharge pressure of 3,000 psig is equal to the pump displacement per cycle in gallons, which is obtained by dividing the pump displacement per cycle (9π * 11 * 120 cubic inches) by 231 gallons.
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