**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.

Given: h=2mL=20 mA=0.05 m2Q=0.5 m3/sη=0.8 To Find: a) Input pump power b)∆P across pump and exit…

EB, Pump System. Water is extracted from a reservoir, pumped up and over an obstruction, and discharged at atmospheric pressure at a height of 2m above the reservoir level after passing thru a ½ closed gate value. The piping shown is made of commercial steel of total length 20m and has a constant pipe area A = 0.05m². If the flow rate is 0.5 m³/s, and the pump efficiency n=0.8, (a) compute the required input pump power (kW); (b) what is AP across the pump and across the exit valve? The pipe inlet is a reentrant configuration, and the elbows are flanged. Label your CV inlet-exit points clearly and list and tabulate the losses for each component clearly. Note: n = (power delivered to fluid)/(power input to pump). Ans OM: (a)~10² kW; (b) APpump~10² kPa; APvalve~ -10² kPa € 2m 10m ME

EB, Pump System. Water is extracted from a reservoir, pumped up and over an obstruction, and discharged at atmospheric pressure at a height of 2m above the reservoir level after passing thru a ½ closed gate value. The piping shown is made of commercial steel of total length 20m and has a constant pipe area A = 0.05m². If the flow rate is 0.5 m³/s, and the pump efficiency n=0.8, (a) compute the required input pump power (kW); (b) what is AP across the pump and across the exit valve? The pipe inlet is a reentrant configuration, and the elbows are flanged. Label your CV inlet-exit points clearly and list and tabulate the losses for each component clearly. Note: n = (power delivered to fluid)/(power input to pump). Ans OM: (a)~10² kW; (b) APpump~10² kPa; APvalve~ -10² kPa € 2m 10m ME

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

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Concept explainers

Applied Fluid Mechanics

A fluid is a substance that is continuously deformed by the application of shear stress. The rate of deformation of a fluid depends on its viscosity. The fluid tries to flow when it interacts with some other system.

Question

**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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