Practice Power Law Velocity Profile (1.4) - Turbulent Pipe Flow - Hydraulic Engineering

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6 sample questions

Question 1.
What is the significance of the Reynolds number in fluid flow?
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Think about flow conditions and types.
Question 2.
What does the power law velocity profile express?
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Recall the formula we discussed.
3Question 3.
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)
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Recall how we express velocity profile for laminar and turbulent cases.
4Question 4.
True or False: The average velocity is the same for smooth and rough pipes.
- True
- False
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Consider the observations we made during discussion.
Question 5.
Given a power law velocity profile u(r) = u_max (1 - r/R)^(1/5), calculate the average velocity in terms of u_max.
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Look closely at the integration limits and how to apply the formula!
Question 6.
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.
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Consider the relationship between n and flow turbulence.

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