8.2. Approximations of Navier-Stokes equations

Try these first

1. 1.

   What are the primary purposes of the Navier-Stokes equations?

   Hint

   Think about what these equations include.

2. 2.

   Define the term 'incompressible flow'.

   Hint

   Consider what happens to fluid density in this type of flow.

3. 3.

   The Navier-Stokes equations primarily describe _____.

   • Thermal dynamics
   • Fluid motion
   • Solid mechanics

   Hint

   Focus on what these equations are meant to analyze.

4. 4.

   True or False: Viscosity is constant in Newtonian fluids.

   • True
   • False

   Hint

   Think about the characteristics of Newtonian fluids.

5. 5.

   A river flows with a specific velocity and experiences a blockage. Analyze how you would approach this scenario using Navier-Stokes approximations.

   Hint

   Consider the ideal vs. real fluid flow differences when analyzing blockages.

6. 6.

   Discuss how the assumption of incompressibility in fluid dynamics can significantly impact engineering designs, giving a concrete example.

   Hint

   Think of implications for flow speed and pipeline material stresses.