8.1.1. Navier-Stokes Equation part 2

Try these first

1. 1.

   What defines incompressible flow?

   Hint

   Think about what happens to fluid density under pressure.

2. 2.

   State the continuity equation for incompressible flow.

   Hint

   Recall the definition of divergence in vector calculus.

3. 3.

   What is the divergence of the velocity field for incompressible flow?

   • 0
   • 1
   • Undefined

   Hint

   Think about the mass flow rate conservation.

4. 4.

   Is viscosity a constant factor in Newtonian fluids?

   • True
   • False

   Hint

   Consider the definition of Newtonian fluids.

5. 5.

   Given a half-open water pipe with fluid flowing under gravity, derive the relevant fluid dynamics equations related to momentum and viscosity.

   Hint

   Use boundary conditions based on the flow's gravitational influence on pressure.

6. 6.

   Investigate the effect of varying temperature on viscosity in a fluid examined under Navier-Stokes conditions.

   Hint

   Reflect on the physical properties of fluids concerning temperature changes and their effect on flow.