13.2.2. Displacement Thickness and Momentum Thickness

Try these first

1. 1.

   What is displacement thickness?

   Hint

   Think about how the flow is altered near surfaces.

2. 2.

   Define momentum thickness.

   Hint

   Consider how momentum changes as fluid flows along a surface.

3. 3.

   What is the definition of displacement thickness?

   • A measure of effective flow area reduction
   • The extent to which momentum is lost
   • The thickness of the liquid at the surface
   • None of the above

   Hint

   Think about how displacement thickness affects the entire flow region.

4. 4.

   True or False: Momentum thickness can be computed from velocity profiles.

   • True
   • False

   Hint

   Link this to how flows behave along surfaces.

5. 5.

   Calculate the displacement thickness for a given laminar flow situation with known velocity distributions. If u = 0.6U at y = 0.005m, and U is the free stream velocity, what would B4* be?

   Hint

   Focus on integrating within the range defined by your boundaries.

6. 6.

   Given velocity profiles for a turbulent flow, derive the momentum thickness and discuss its implications on drag force design.

   Hint

   Incorporate experimental or empirical data for accuracy.