11.1.5. Average Velocity Calculation

Try these first

1. 1.

   Define average velocity in fluid dynamics.

   Hint

   Think about how flow quantities are averaged.

2. 2.

   What is wall shear stress?

   Hint

   Relate it to the velocity gradient at the wall.

3. 3.

   What is the relationship between average velocity and wall shear stress?

   • They are unrelated
   • Wall shear stress affects average velocity
   • Average velocity affects wall shear stress

   Hint

   Consider how stress interactions might alter flow.

4. 4.

   True or False: Vorticity is a measure of fluid's linear motion.

   • True
   • False

   Hint

   Think about the concept of rotation vs. linear motion.

5. 5.

   Given a velocity field: u = 5 - (y²/4), where y is the distance from the wall, compute the average velocity across the area from -2 to 2.

   Hint

   Sketch the area being integrated and identify limits.

6. 6.

   If the wall shear stress is given as 0.2 N/m², and dynamic viscosity is 0.3 Pa·s, what is the velocity gradient at the wall?

   Hint

   Understand how stress and viscosity relate to gradients.