1.4 - Power Law Velocity Profile
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Practice Questions
Test your understanding with targeted questions
What is the significance of the Reynolds number in fluid flow?
💡 Hint: Think about flow conditions and types.
What does the power law velocity profile express?
💡 Hint: Recall the formula we discussed.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the equation for the power law velocity profile in smooth pipes?
💡 Hint: Recall how we express velocity profile for laminar and turbulent cases.
True or False: The average velocity is the same for smooth and rough pipes.
💡 Hint: Consider the observations we made during discussion.
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Challenge Problems
Push your limits with advanced challenges
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!
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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