Practice Power Law Velocity Profile - 1.4 | 22. Turbulent Pipe Flow | Hydraulic Engineering - Vol 1
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is the significance of the Reynolds number in fluid flow?

💡 Hint: Think about flow conditions and types.

Question 2

Easy

What does the power law velocity profile express?

💡 Hint: Recall the formula we discussed.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What is the equation for the power law velocity profile in smooth pipes?

  • u = u_max (1 - r/R)^(1/7)
  • u/u_max = (y/R)^(1/n)
  • u = 5.75 log(y/R)

💡 Hint: Recall how we express velocity profile for laminar and turbulent cases.

Question 2

True or False: The average velocity is the same for smooth and rough pipes.

  • True
  • False

💡 Hint: Consider the observations we made during discussion.

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Challenge Problems

Push your limits with challenges.

Question 1

Given a power law velocity profile u(r) = u_max (1 - r/R)^(1/5), calculate the average velocity in terms of u_max.

💡 Hint: Look closely at the integration limits and how to apply the formula!

Question 2

For a specific Reynolds number, if the power law exponent n increases from 5 to 10, assess how this affects the velocity gradient near the walls.

💡 Hint: Consider the relationship between n and flow turbulence.

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