5) A pipe carries water (10°C) from location 1 to location 2. At some point along the pipe, a pump is used to move the water from an elevation of 30 m to 42 m, overcoming the effects of gravity. The pressure at section 1 is 65 kPa gage, and the pressure at section 2 is 340 kPa gage. What power in kilowatts and in horsepower must be supplied to the flow by the pump? Assume that head losses in the pipe total to 3 m and that flow is turbulent. Water Q=0.5 m³/s Pump Pipe D=0.5 m

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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### Problem Statement

A pipe carries water (10°C) from location 1 to location 2. At some point along the pipe, a pump is used to move the water from an elevation of 30 m to 42 m, overcoming the effects of gravity. The pressure at section 1 is 65 kPa gauge, and the pressure at section 2 is 340 kPa gauge. What power in kilowatts and in horsepower must be supplied to the flow by the pump?

**Assumptions:**
- Head losses in the pipe total to 3 m.
- The flow is turbulent.

### Diagram Explanation

The diagram illustrates a pipeline with a pump installed between two points (location 1 and location 2). Key features include:

- **Pipe Sections**: The pipeline rises from an elevation of 30 meters to 42 meters.
- **Pump**: Positioned between the two sections, it boosts water flow.
- **Water Flow**: Noted at a rate of \( Q = 0.5 \, \text{m}^3/\text{s} \).
- **Pipe Diameter**: A specified pipe diameter of \( D = 0.5 \, \text{m} \).

The diagram aids in understanding the physical setup, showcasing water intake, pump action, and the discharge elevation. It provides a visual understanding of how energy is used to overcome gravity, pipe elevation, and head losses.
Transcribed Image Text:### Problem Statement A pipe carries water (10°C) from location 1 to location 2. At some point along the pipe, a pump is used to move the water from an elevation of 30 m to 42 m, overcoming the effects of gravity. The pressure at section 1 is 65 kPa gauge, and the pressure at section 2 is 340 kPa gauge. What power in kilowatts and in horsepower must be supplied to the flow by the pump? **Assumptions:** - Head losses in the pipe total to 3 m. - The flow is turbulent. ### Diagram Explanation The diagram illustrates a pipeline with a pump installed between two points (location 1 and location 2). Key features include: - **Pipe Sections**: The pipeline rises from an elevation of 30 meters to 42 meters. - **Pump**: Positioned between the two sections, it boosts water flow. - **Water Flow**: Noted at a rate of \( Q = 0.5 \, \text{m}^3/\text{s} \). - **Pipe Diameter**: A specified pipe diameter of \( D = 0.5 \, \text{m} \). The diagram aids in understanding the physical setup, showcasing water intake, pump action, and the discharge elevation. It provides a visual understanding of how energy is used to overcome gravity, pipe elevation, and head losses.
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