Problem 1 Water needs to be transferred from one reservoir to another at a rate of 600 gpm. A schematic of the pipe system is shown. The static lift is 20 ft. All elbows have the same K₁ value. The suction pipe (upstream of the pump) is a total of 50 ft long with a diameter of 8 inches and the discharge pipe is a total of 450 ft long with a diameter of 6 inches. Use CH = 130. The centerline of the pump inlet is 7.2 ft above the lower reservoir water surface. The reservoirs are located near sea level. Water temperature is 50°F. HKL valve Pump = 5.0 KL₂ ent = 0.8 KL elbow = 1.5 exit (a) Determine the equation for the system curve. Simplify it as much as possible so it is in terms of only hp and Q. (b) Print out the next page. Draw the system curve on BOTH pump curves and determine which pump should be purchased (which graph and which impeller size). Submit your annotated printout with your assignment. Also submit supporting calculations. The system curves should be drawn using at least five points, including one located at Q = 0. [Hint: use a spreadsheet to calculate values of hp for a range of Q values] (c) Why did you pick the pump you picked? (d) Identify the operating point (Q and hp that will be delivered if the selected pump is installed and no changes are made to the system). (e) What size motor (horsepower rating) would you buy for this pump? Explain your work. (f) Determine the NPSHA. Will this installation be possible without damaging the pump impeller? Explain. If the elevation of the pump needs to be changed, explain where it should be relocated - assuming numbers of elbows and lengths of pipe segments do not change. (g) How would your answer to (e) change if the reservoir was located near Denver, at elevation 6000 ft above sea level? (h) How would your answer to (e) change if the water temperature was 100°F instead?
Problem 1 Water needs to be transferred from one reservoir to another at a rate of 600 gpm. A schematic of the pipe system is shown. The static lift is 20 ft. All elbows have the same K₁ value. The suction pipe (upstream of the pump) is a total of 50 ft long with a diameter of 8 inches and the discharge pipe is a total of 450 ft long with a diameter of 6 inches. Use CH = 130. The centerline of the pump inlet is 7.2 ft above the lower reservoir water surface. The reservoirs are located near sea level. Water temperature is 50°F. HKL valve Pump = 5.0 KL₂ ent = 0.8 KL elbow = 1.5 exit (a) Determine the equation for the system curve. Simplify it as much as possible so it is in terms of only hp and Q. (b) Print out the next page. Draw the system curve on BOTH pump curves and determine which pump should be purchased (which graph and which impeller size). Submit your annotated printout with your assignment. Also submit supporting calculations. The system curves should be drawn using at least five points, including one located at Q = 0. [Hint: use a spreadsheet to calculate values of hp for a range of Q values] (c) Why did you pick the pump you picked? (d) Identify the operating point (Q and hp that will be delivered if the selected pump is installed and no changes are made to the system). (e) What size motor (horsepower rating) would you buy for this pump? Explain your work. (f) Determine the NPSHA. Will this installation be possible without damaging the pump impeller? Explain. If the elevation of the pump needs to be changed, explain where it should be relocated - assuming numbers of elbows and lengths of pipe segments do not change. (g) How would your answer to (e) change if the reservoir was located near Denver, at elevation 6000 ft above sea level? (h) How would your answer to (e) change if the water temperature was 100°F instead?
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Transcribed Image Text:### Centrifugal Pump Series 1510 Performance Charts
#### 1. Pump 5G - 1150 R.P.M.
**Graph Explanation:**
- **Axes:**
- The vertical axis represents the "Total Head" in both meters and feet.
- The horizontal axis shows "Capacity" in both U.S. Gallons Per Minute (GPM) and Cubic Meters per Hour (m³/hr).
- **Data Curves:**
- The curved lines indicate performance for impeller sizes ranging from 10 inches to 13.5 inches.
- Efficiency curves (ranging from 50% to over 70%) show pump efficiency at different capacities and heads.
- An additional curve labeled "NPSH REQ" shows the Net Positive Suction Head required in feet and meters for safe and effective pump operation.
**Note:**
Impellers are trimmed in ½" increments to supply required capacity. Responsibility for final impeller sizing rests with ITT Bell & Gossett.
#### 2. Pump 3BC - 1750 R.P.M.
**Graph Explanation:**
- **Axes:**
- The vertical axis represents the "Total Head" in both meters and feet.
- The horizontal axis shows "Capacity" in both U.S. Gallons Per Minute (GPM) and Cubic Meters per Hour (m³/hr).
- **Data Curves:**
- The curves represent performance for impeller sizes from 7 inches to 9.5 inches.
- Efficiency curves indicate efficiency percentages from 50% to over 70%.
- The "N.P.S.H. REQUIRED" curve provides information on the Net Positive Suction Head necessary to prevent cavitation.
**Note:**
Impellers are trimmed in ½" increments to supply required capacity. Responsibility for final impeller sizing remains with ITT Bell & Gossett.
These graphs are essential for understanding the performance characteristics of centrifugal pumps in various configurations, assisting in optimal selection and maintenance.
![**Problem 1**
Water needs to be transferred from one reservoir to another at a rate of 600 gpm. A schematic of the pipe system is shown. The static lift is 20 ft. All elbows have the same K_L value. The suction pipe (upstream of the pump) is a total of 50 ft long with a diameter of 8 inches and the discharge pipe is a total of 450 ft long with a diameter of 6 inches. Use C_H = 130. The centerline of the pump inlet is 7.2 ft above the lower reservoir water surface. The reservoirs are located near sea level. Water temperature is 50°F.
**(a)** Determine the equation for the system curve. Simplify it as much as possible so it is in terms of only h_p and Q.
**(b)** Print out the next page. Draw the system curve on BOTH pump curves and determine which pump should be purchased (which graph and which impeller size). Submit your annotated printout with your assignment. Also submit supporting calculations. The system curves should be drawn using at least five points, including one located at Q = 0. [Hint: use a spreadsheet to calculate values of h_p for a range of Q values]
**(c)** Why did you pick the pump you picked?
**(d)** Identify the operating point (Q and h_p) that will be delivered if the selected pump is installed and no changes are made to the system).
**(e)** What size motor (horsepower rating) would you buy for this pump? Explain your work.
**(f)** Determine the NPSHA. Will this installation be possible without damaging the pump impeller? Explain. If the elevation of the pump needs to be changed, explain where it should be relocated — assuming numbers of elbows and lengths of pipe segments do not change.
**(g)** How would your answer to (e) change if the reservoir was located near Denver, at elevation 6000 ft above sea level?
**(h)** How would your answer to (e) change if the water temperature was 100°F instead?
---
**Graph/Diagram Explanation:**
The diagram depicts a piping system connecting two reservoirs, with a pump aiding in water transfer from the lower reservoir to the upper one. The system makes use of pipes of different lengths and diameters. The diagram specifies several loss coefficients (K_L):
- **K_L (elbow)**](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Febb913e1-4986-4d74-b6ce-ad576ddf43d3%2F18b3fbcc-cf71-4068-9a5f-a2bb27c7abb4%2F6bgggks_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem 1**
Water needs to be transferred from one reservoir to another at a rate of 600 gpm. A schematic of the pipe system is shown. The static lift is 20 ft. All elbows have the same K_L value. The suction pipe (upstream of the pump) is a total of 50 ft long with a diameter of 8 inches and the discharge pipe is a total of 450 ft long with a diameter of 6 inches. Use C_H = 130. The centerline of the pump inlet is 7.2 ft above the lower reservoir water surface. The reservoirs are located near sea level. Water temperature is 50°F.
**(a)** Determine the equation for the system curve. Simplify it as much as possible so it is in terms of only h_p and Q.
**(b)** Print out the next page. Draw the system curve on BOTH pump curves and determine which pump should be purchased (which graph and which impeller size). Submit your annotated printout with your assignment. Also submit supporting calculations. The system curves should be drawn using at least five points, including one located at Q = 0. [Hint: use a spreadsheet to calculate values of h_p for a range of Q values]
**(c)** Why did you pick the pump you picked?
**(d)** Identify the operating point (Q and h_p) that will be delivered if the selected pump is installed and no changes are made to the system).
**(e)** What size motor (horsepower rating) would you buy for this pump? Explain your work.
**(f)** Determine the NPSHA. Will this installation be possible without damaging the pump impeller? Explain. If the elevation of the pump needs to be changed, explain where it should be relocated — assuming numbers of elbows and lengths of pipe segments do not change.
**(g)** How would your answer to (e) change if the reservoir was located near Denver, at elevation 6000 ft above sea level?
**(h)** How would your answer to (e) change if the water temperature was 100°F instead?
---
**Graph/Diagram Explanation:**
The diagram depicts a piping system connecting two reservoirs, with a pump aiding in water transfer from the lower reservoir to the upper one. The system makes use of pipes of different lengths and diameters. The diagram specifies several loss coefficients (K_L):
- **K_L (elbow)**
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