A fluid is flowing in a round pipe. The Reynolds number is Re = 3 x 10°. The relative roughness is = 1000. Find 1) the friction factor f TABLE 10.5 Friction factor in zone of complete turbulence for new, clean, commercial Schedule 40 steel pipe Nominal Pipe Size U.S. (in) Metric (mm) Friction factor, f Nominal Pipe Size U.S. (in) Metric (mm) Friction factor, f

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A fluid is flowing in a round pipe. The Reynolds number is .  The relative roughness is . 

Find 1)  the friction factor f________

### Fluid Flow in Round Pipes: Calculating the Friction Factor

When analyzing fluid flow in round pipes, it's crucial to determine the friction factor, which is influenced by the Reynolds number and the relative roughness of the pipe. The given parameters are:

- Reynolds number, \( Re = 3 \times 10^5 \)
- Relative roughness, \( \frac{D}{\epsilon} = 1000 \)

To find the friction factor, \( f \), you can refer to the friction factor chart and tables for new, clean, commercial Schedule 40 steel pipes.

#### Reference Table: Friction Factor for Schedule 40 Steel Pipes

**TABLE 10.5: Friction factor in zone of complete turbulence for new, clean, commercial Schedule 40 steel pipe**

| Nominal Pipe Size | Friction Factor, \( f_T \) | Nominal Pipe Size | Friction Factor, \( f_T \) |
|-------------------|----------------------------|-------------------|----------------------------|
| **U.S. (in)**     | **Metric (mm)**            |                   |                            |
| ½                 | DN 15                      | 0.026             | 3 ½                       | DN 90                     | 0.017                          |
| ¾                 | DN 20                      | 0.024             | 4                         | DN 100                    | 0.016                          |
| 1                  | DN 25                      | 0.021             | 5                         | DN 125                    | 0.015                          |
| 1 ¼                | DN 32                      | 0.021             | 6                         | DN 150                    | 0.014                          |
| 1 ½                | DN 40                      | 0.019             | 8                         | DN 200                    | 0.014                          |
| 2                  | DN 50                      | 0.019             | 10                        | DN 250 to DN 350          | 0.012                          |
| 2 ½                | DN 65                      | 0.018             | 12 and up                 | DN 400 to DN 900          | 0.011 to 0.011                  |

### Friction Factor Chart Explanation

The chart below the table is a Moody diagram (or Moody chart) which is used to find the friction factor for a given Reynolds number
Transcribed Image Text:### Fluid Flow in Round Pipes: Calculating the Friction Factor When analyzing fluid flow in round pipes, it's crucial to determine the friction factor, which is influenced by the Reynolds number and the relative roughness of the pipe. The given parameters are: - Reynolds number, \( Re = 3 \times 10^5 \) - Relative roughness, \( \frac{D}{\epsilon} = 1000 \) To find the friction factor, \( f \), you can refer to the friction factor chart and tables for new, clean, commercial Schedule 40 steel pipes. #### Reference Table: Friction Factor for Schedule 40 Steel Pipes **TABLE 10.5: Friction factor in zone of complete turbulence for new, clean, commercial Schedule 40 steel pipe** | Nominal Pipe Size | Friction Factor, \( f_T \) | Nominal Pipe Size | Friction Factor, \( f_T \) | |-------------------|----------------------------|-------------------|----------------------------| | **U.S. (in)** | **Metric (mm)** | | | | ½ | DN 15 | 0.026 | 3 ½ | DN 90 | 0.017 | | ¾ | DN 20 | 0.024 | 4 | DN 100 | 0.016 | | 1 | DN 25 | 0.021 | 5 | DN 125 | 0.015 | | 1 ¼ | DN 32 | 0.021 | 6 | DN 150 | 0.014 | | 1 ½ | DN 40 | 0.019 | 8 | DN 200 | 0.014 | | 2 | DN 50 | 0.019 | 10 | DN 250 to DN 350 | 0.012 | | 2 ½ | DN 65 | 0.018 | 12 and up | DN 400 to DN 900 | 0.011 to 0.011 | ### Friction Factor Chart Explanation The chart below the table is a Moody diagram (or Moody chart) which is used to find the friction factor for a given Reynolds number
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