7.1.1. Lec 28: The Navier-Stokes Equation

Try these first

1. 1.

   What are the Navier-Stokes equations primarily used for?

   Hint

   Think about what aspects of fluids are studied in engineering.

2. 2.

   What does it mean for a fluid to be Newtonian?

   Hint

   Consider how shear stress relates to shear strain in these fluids.

3. 3.

   Who derived the Navier-Stokes equations?

   • Einstein
   • Navier and Stokes
   • Newton

   Hint

   Consider the prominent figures associated with fluid mechanics.

4. 4.

   True or False: Non-Newtonian fluids maintain a constant viscosity.

   • True
   • False

   Hint

   Think about examples like ketchup compared to water.

5. 5.

   Given the Navier-Stokes equations, apply boundary conditions to a fluid flowing in a pipe. Describe the steps needed to ensure the flow is modeled accurately.

   Hint

   Consider the physical interaction of fluid with the pipe walls.

6. 6.

   Discuss how the assumptions of incompressibility and isothermality would affect an air parcel versus a water parcel in different environmental conditions.

   Hint

   Think about how gases behave differently compared to liquids under various conditions.