17.3.3. Fluid Flow (Navier-Stokes Equations)

Try these first

1. 1.

   What variable represents the fluid's velocity in the Navier-Stokes equations?

   Hint

   Think about what describes speed and direction simultaneously.

2. 2.

   Define viscosity in your own words.

   Hint

   Consider how easily a liquid flows compared to a thick substance.

3. 3.

   What does the $\mu$ variable represent in the Navier-Stokes equations?

   • Velocity
   • Pressure
   • Viscosity

   Hint

   Think about how thick a fluid is.

4. 4.

   True or False: The Navier-Stokes equations apply only to incompressible fluids.

   • True
   • False

   Hint

   Consider different types of fluids under various conditions.

5. 5.

   Solve the Navier-Stokes equation for a two-dimensional incompressible flow in a rectangular domain, considering no external forces.

   Hint

   Start by applying the continuity equation to simplify matters.

6. 6.

   Design a small-scale fluid dynamics experiment using the Navier-Stokes equations to study the effects of viscosity in different fluids.

   Hint

   Use different containers to measure how each fluid flows under the same applied pressure.