Finding the k value in a pipe flow question

In summary, the k value in a pipe flow question is calculated using the Darcy-Weisbach equation and the Colebrook-White equation. It represents the energy loss per unit weight of fluid due to friction in a pipe and is important in determining the efficiency and pressure drop of a pipe system. The appropriate k value for a specific scenario can be determined through experimental testing or established equations. It can change in a pipe flow system due to various factors, and common sources of error include inaccurate measurements and assumptions.
  • #1
Stacyg
25
0
I am trying to do a pipe flow question but I am having trouble understanding how they have calculated the k values.
Example question 1.1 attached & appendix A1 attached.
We have to use appendix A1 to find the k values. I have tried using interpolation to get the k values from the example question but I am not coming up with same numbers.
Any help would be much appreciated.

Stacy
 

Attachments

  • Appendix A1.pdf
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  • Example 1.1.pdf
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  • #2
k values are determined experimentally.
 

1. How do you calculate the k value in a pipe flow question?

To calculate the k value in a pipe flow question, you will need to use the Darcy-Weisbach equation, which is k = f * (L/D), where k is the friction factor, f is the Darcy friction factor, L is the length of the pipe, and D is the diameter of the pipe. You will also need to use the Colebrook-White equation to calculate the Darcy friction factor.

2. What is the significance of the k value in a pipe flow question?

The k value represents the total energy loss per unit weight of fluid due to friction in a pipe. It is an important factor in determining the efficiency and pressure drop of a pipe system. A higher k value indicates greater energy loss and therefore a less efficient system.

3. How do you determine the appropriate k value for a specific pipe flow scenario?

The appropriate k value for a specific pipe flow scenario can be determined through experimental testing or by using established empirical equations such as the Darcy-Weisbach and Colebrook-White equations. These equations take into account factors such as pipe material, fluid properties, and flow conditions to determine the most accurate k value.

4. Can the k value change in a pipe flow system?

Yes, the k value can change in a pipe flow system due to changes in flow conditions, pipe roughness, or other factors. It is important to regularly monitor and adjust the k value in a pipe system to ensure efficient and accurate calculations.

5. What are common sources of error when determining the k value in a pipe flow question?

Common sources of error when determining the k value include inaccurate measurements of pipe length and diameter, variations in pipe roughness, and assumptions made in the calculation process. It is important to double check all measurements and calculations to minimize errors and ensure the most accurate k value is determined.

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