13.5.3. Momentum Thickness

Try these first

1. 1.

   What is momentum thickness?

   Hint

   Think of how layers of fluid interact near surfaces.

2. 2.

   Name a historical figure who contributed to boundary layer theory.

   Hint

   He applied similarity variables to boundary layers.

3. 3.

   What is the relationship between displacement thickness and momentum thickness?

   • Both measure the same effect
   • They measure different aspects of flow
   • Only one affects drag

   Hint

   Consider their definitions carefully.

4. 4.

   True or False: Momentum thickness is a direct measure of drag force.

   • True
   • False

   Hint

   Think about the concepts being separate yet related.

5. 5.

   A flat plate in a fluid flow is experiencing boundary layer formation. Given initial velocity profiles, compute both momentum thickness and displacement thickness at several points along the plate.

   Hint

   You may need to derive the equations based on given profiles.

6. 6.

   Analyze how changes in fluid viscosity can impact the momentum thickness behavior on different surfaces—smooth vs. rough.

   Hint

   Think about how viscous fluids flow differently compared to non-viscous ones.