1.5 - Limitations of Power Law Profiles
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Practice Questions
Test your understanding with targeted questions
What does n represent in the power law velocity profile?
💡 Hint: Think about how fluid mechanics relates to flow regimes.
True or False: Power law profiles can predict wall shear stress.
💡 Hint: Consider the implication of infinite gradients.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does the power law profile fail to predict at the center of a pipe?
💡 Hint: Think about what happens mathematically at that point.
True or False: The difference in velocity profile remains the same for both smooth and rough pipes.
💡 Hint: Reflect on the discussion about smooth and rough surfaces.
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Challenge Problems
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Derive the average velocity for a turbulent flow profile given by u(r) = 2 * u_max * (1 - (r/R)^2). Discuss any changes from the power law derived result.
💡 Hint: Set proper limits for r during the integration process.
Discuss the design considerations needed when dealing with turbulent flows in pipes with varying smoothness.
💡 Hint: Think beyond just velocity; consider entire flow behavior.
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