Solve problem 2 (Textbook, p. 230). This is a case example how to use the characteristic curve of a pump to find the operation point of a piping installation. You can find the solution graphically, iteratively (if you want to fit the curve of Fig. P4.2 with an equation) or using trial and error (my recommendation).2. Pump and pipeline—M . The head/discharge curve of a centrifugal pump is shown in Fig. P4.2. The exit of the pump is connected to 1,000 ft of nominal 2-in. diameter horizontal pipe (D = 2.067 in.). What flow rate (ft^3/s) of water can be expected? Assume atmospheric pressure at the pump inlet and pipe exit, and take fF = 0.00475. ### Transcription for Educational Website#### Pump Head/Discharge Characteristic CurveThis graph illustrates the relationship between the head across a pump (\(\Delta h\)) and the flow rate (\(Q\)) through the pump. The x-axis represents the flow rate in cubic feet per second (\(ft^3/s\)) and ranges from 0 to 0.24. The y-axis shows the head across the pump in feet (\(ft\)) and ranges from 0 to 80.#### Graph Description- **Axes**: - **X-axis**: Flow rate through the pump (\(Q\)), measured in cubic feet per second (\(ft^3/s\)). - **Y-axis**: Head across the pump (\(\Delta h\)), measured in feet (\(ft\)).- **Curve**: - The graph shows a downward-sloping curve, indicating that as the flow rate increases, the head across the pump decreases. - The curve starts at a high head value (\(~80 ft\)) when the flow rate is zero, and it decreases as the flow rate increases to a maximum value of 0.24 \(ft^3/s\).#### Figure Caption*Fig. P4.2* Pump head/discharge characteristic curve.

SOL :→ Given:→ Length of pipe, L=1000 ft. Diameter of pipr , D =2.067in…

Answered: 2. Pump and pipeline—M . The…

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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Solve problem 2 (Textbook, p. 230). This is a case example how to use the characteristic curve of a pump to find the operation point of a piping installation. You can find the solution graphically, iteratively (if you want to fit the curve of Fig. P4.2 with an equation) or using trial and error (my recommendation).

2. Pump and pipeline—M . The head/discharge curve of a centrifugal pump is shown in Fig. P4.2. The exit of the pump is connected to 1,000 ft of nominal 2-in. diameter horizontal pipe (D = 2.067 in.). What flow rate (ft^3/s) of water can be expected? Assume atmospheric pressure at the pump inlet and pipe exit, and take fF = 0.00475.

### Transcription for Educational Website

#### Pump Head/Discharge Characteristic Curve

This graph illustrates the relationship between the head across a pump (\(\Delta h\)) and the flow rate (\(Q\)) through the pump. The x-axis represents the flow rate in cubic feet per second (\(ft^3/s\)) and ranges from 0 to 0.24. The y-axis shows the head across the pump in feet (\(ft\)) and ranges from 0 to 80.

#### Graph Description

- **Axes**:
- **X-axis**: Flow rate through the pump (\(Q\)), measured in cubic feet per second (\(ft^3/s\)).
- **Y-axis**: Head across the pump (\(\Delta h\)), measured in feet (\(ft\)).

- **Curve**:
- The graph shows a downward-sloping curve, indicating that as the flow rate increases, the head across the pump decreases.
- The curve starts at a high head value (\(~80 ft\)) when the flow rate is zero, and it decreases as the flow rate increases to a maximum value of 0.24 \(ft^3/s\).

#### Figure Caption
*Fig. P4.2* Pump head/discharge characteristic curve.

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