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2 cards from this section. Quick, good the night before a test.
What does n represent in the power law velocity profile?
Think about how fluid mechanics relates to flow regimes.
True or False: Power law profiles can predict wall shear stress.
Consider the implication of infinite gradients.
What does the power law profile fail to predict at the center of a pipe?
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.
Reflect on the discussion about smooth and rough surfaces.
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.
Set proper limits for r during the integration process.
Discuss the design considerations needed when dealing with turbulent flows in pipes with varying smoothness.
Think beyond just velocity; consider entire flow behavior.
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