3.2. Lecture Wrap-up

Try these first

1. 1.

   Define average velocity.

   Hint

   Think about how flow is distributed across the section.

2. 2.

   What does the Reynolds number indicate?

   Hint

   What scale is used for fluid dynamics?

3. 3.

   What is the relationship between average velocity and frictional velocity in turbulent flow?

   • A proportional relationship
   • An inverse relationship
   • No relationship

   Hint

   Consider how flow dynamics interact.

4. 4.

   True or False: The power law velocity profile provides accurate wall shear stress calculations.

   • True
   • False

   Hint

   Why might gradients matter at the wall surface?

5. 5.

   Given a turbulent flow profile, derive an expression for average velocity using integration methods. Assume a specific power law.

   Hint

   Don't forget to simplify your integral effectively.

6. 6.

   You have two pipes, one smooth and one rough. Compare the impacts on average velocity, given the same flow conditions.

   Hint

   Consider how friction influences speed.