10.4. Applications of Navier-Stokes and Approximation Methods

Try these first

1. 1.

   What do the Navier-Stokes equations describe?

   Hint

   Think about fluid dynamics and forces.

2. 2.

   What is a boundary layer?

   Hint

   Consider where viscosity impacts flow.

3. 3.

   What do the Navier-Stokes equations describe?

   • The motion of solid bodies
   • The motion of fluid substances
   • The motion of gases only
   • None of the above

   Hint

   It's opposite to solid body mechanics.

4. 4.

   True or False: Velocity potential functions are used in rotational flow.

   • True
   • False

   Hint

   Consider the definition of irrotational flow.

5. 5.

   Calculate the velocity profile for flow between two parallel plates with one moving and one at rest. Use the Navier-Stokes equations and apply relevant approximations.

   Hint

   Assume no gravity, steady flow, and apply boundary conditions at both plates.

6. 6.

   Discuss the impact of a boundary layer on aerodynamic drag for an aircraft. Include concepts of shear stress and potential flow.

   Hint

   link boundary layer behavior to coefficients of drag.