3.5. Incompressible flow and Navier–Stokes equations

Try these first

1. 1.

   Define incompressible flow.

   Hint

   Think about its implications in fluid dynamics.

2. 2.

   What is mechanical pressure?

   Hint

   Consider how it relates to fluid motion.

3. 3.

   What does the Navier–Stokes equations primarily describe?

   • Inviscid flow
   • Viscous fluid flow
   • Thermodynamic properties

   Hint

   Think about the type of fluids discussed in this context.

4. 4.

   Incompressible flow assumes that:

   • True
   • False

   Hint

   What does it mean for the behavior of fluids?

5. 5.

   In a closed tank filled with water, the water stream's velocity triples when a valve opens. Calculate the changes in pressure according to Bernoulli's principle.

   Hint

   Use conservation laws!

6. 6.

   Explain how thermal fluctuations might impact the assumptions in the Navier-Stokes equations for highly viscous fluids.

   Hint

   How does temperature relate to fluid properties?