Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN: 9780190698614
Author: Sadiku, Matthew N. O.
Publisher: Oxford University Press
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**EB, Pump System**

In this setup, water is extracted from a reservoir, elevated over an obstruction, and then released at atmospheric pressure 2 meters above the reservoir level after flowing through a half-closed gate valve. The piping system, shown in the diagram, is made of commercial steel with a total length of 20 meters and a constant cross-sectional pipe area of 0.05 square meters. The system operates with a flow rate of 0.5 cubic meters per second, and the pump's efficiency (η) is 0.8.

Tasks:

- **(a)** Compute the required input pump power in kilowatts (kW).
- **(b)** Determine the pressure drop (ΔP) across the pump and the exit valve.

The pipe inlet is configured as reentrant, and the elbows in the system are flanged. Label the control volume's inlet and exit points, and clearly list and tabulate the losses for each component.

**Note:**  
η = (power delivered to fluid) / (power input to pump).

**Answers:**  
(a) Required input pump power is approximately 10² kW.  
(b) Pressure drop across the pump (ΔP_pump) is approximately 10² kPa; Pressure drop across the valve (ΔP_valve) is negative and approximately -10² kPa.

---

**Diagram Explanation:**

- The diagram illustrates a side view of the piping system.
- Water moves from a reservoir (initial level indicated) to an elevated pipe section (10 meters high) and through the system.
- A gate valve is visible right before the water is discharged at 2 meters above the reservoir level.
- The flow direction is marked, and key points such as the entry (P) and exit points are labeled.

This description helps readers understand the basic components and flow pathways within this engineering system and offers a foundation for analyzing the hydraulic performance and efficiency.
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Transcribed Image Text:**EB, Pump System** In this setup, water is extracted from a reservoir, elevated over an obstruction, and then released at atmospheric pressure 2 meters above the reservoir level after flowing through a half-closed gate valve. The piping system, shown in the diagram, is made of commercial steel with a total length of 20 meters and a constant cross-sectional pipe area of 0.05 square meters. The system operates with a flow rate of 0.5 cubic meters per second, and the pump's efficiency (η) is 0.8. Tasks: - **(a)** Compute the required input pump power in kilowatts (kW). - **(b)** Determine the pressure drop (ΔP) across the pump and the exit valve. The pipe inlet is configured as reentrant, and the elbows in the system are flanged. Label the control volume's inlet and exit points, and clearly list and tabulate the losses for each component. **Note:** η = (power delivered to fluid) / (power input to pump). **Answers:** (a) Required input pump power is approximately 10² kW. (b) Pressure drop across the pump (ΔP_pump) is approximately 10² kPa; Pressure drop across the valve (ΔP_valve) is negative and approximately -10² kPa. --- **Diagram Explanation:** - The diagram illustrates a side view of the piping system. - Water moves from a reservoir (initial level indicated) to an elevated pipe section (10 meters high) and through the system. - A gate valve is visible right before the water is discharged at 2 meters above the reservoir level. - The flow direction is marked, and key points such as the entry (P) and exit points are labeled. This description helps readers understand the basic components and flow pathways within this engineering system and offers a foundation for analyzing the hydraulic performance and efficiency.
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