13.3.3. Parabolic Equations

Try these first

1. 1.

   Define a boundary layer.

   Hint

   Consider the surface-fluid interaction.

2. 2.

   What is momentum thickness?

   Hint

   Link it to shear stress.

3. 3.

   What does displacement thickness indicate?

   • The increase in fluid speed.
   • The deflection of streamlines due to boundary layer effects.
   • The total thickness of the fluid layer.

   Hint

   Link this concept to how boundaries affect fluid flow.

4. 4.

   True or False: The Reynolds number can help determine the type of flow (laminar or turbulent).

   • True
   • False

   Hint

   Reflect on critical values indicating flow types.

5. 5.

   A flat plate in a wind tunnel has a 1m length and faces airflow at a speed of 5 m/s. Calculate the boundary layer thickness at the trailing edge given the kinematic viscosity of air is 1.5 x 10^-5 m²/s. Show your calculations.

   Hint

   Use the formula relating Reynolds number and the boundary layer thickness.

6. 6.

   Determine the implications of a high Reynolds number on drag forces in a fluid flow over a flat plate. How would this affect design considerations in engineering?

   Hint

   Think about how flow states correlate with design choices.