gy Equation: ble 2: h₁ C 80 contal pipe carries cooling water at 10 = Datu 0.02 L is the length of the pipe from the re pipe, and D is the diameter of the pip ipe diameter is 20 cm and the rate of m? Assume a₂ = 1.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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**Energy Equation:**

**Example 2:**

A horizontal pipe carries cooling water at 10°C for a thermal power plant. The head loss in the pipe is

\[ h_L = \frac{0.02 \left(\frac{L}{D}\right) V^2}{2g} \]

where \( L \) is the length of the pipe from the reservoir to the point in question, \( V \) is the mean velocity in the pipe, and \( D \) is the diameter of the pipe.

If the pipe diameter is 20 cm and the rate of flow is 0.06 m\(^3\)/s, what is the pressure in the pipe at \( L = 2000 \) m? Assume \(\alpha_2 = 1\).

**Diagram Explanation:**

- The diagram shows a pipe system where a horizontal pipe carries water.
- The pipe starts at a reservoir positioned at a height of 80 m (Datum level).
- The diameter of the pipe is labeled as \( D = 0.2 \) m.
- The length of the pipe from the reservoir to the endpoint is marked as \( L = 2000 \) m.
- The flow rate in the pipe is indicated as \( Q = 0.06 \) m\(^3\)/s.
- The head loss equation is provided with the diagram to illustrate the calculation of energy losses in the system.
Transcribed Image Text:**Energy Equation:** **Example 2:** A horizontal pipe carries cooling water at 10°C for a thermal power plant. The head loss in the pipe is \[ h_L = \frac{0.02 \left(\frac{L}{D}\right) V^2}{2g} \] where \( L \) is the length of the pipe from the reservoir to the point in question, \( V \) is the mean velocity in the pipe, and \( D \) is the diameter of the pipe. If the pipe diameter is 20 cm and the rate of flow is 0.06 m\(^3\)/s, what is the pressure in the pipe at \( L = 2000 \) m? Assume \(\alpha_2 = 1\). **Diagram Explanation:** - The diagram shows a pipe system where a horizontal pipe carries water. - The pipe starts at a reservoir positioned at a height of 80 m (Datum level). - The diameter of the pipe is labeled as \( D = 0.2 \) m. - The length of the pipe from the reservoir to the endpoint is marked as \( L = 2000 \) m. - The flow rate in the pipe is indicated as \( Q = 0.06 \) m\(^3\)/s. - The head loss equation is provided with the diagram to illustrate the calculation of energy losses in the system.
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