8.6. Numerical Solutions and Computational Fluid Dynamics

Try these first

1. 1.

   What are the Navier-Stokes equations used for?

   Hint

   Think about what fluid dynamics aims to explain.

2. 2.

   What is the assumption made for incompressible fluids?

   Hint

   Consider how fluids react under pressure.

3. 3.

   What are the Navier-Stokes equations primarily used for?

   • Thermodynamics
   • Fluid motion
   • Solid mechanics

   Hint

   Recall the subject matter of fluid dynamics.

4. 4.

   True or False: The continuity equation ensures that mass is conserved in fluid dynamics.

   • True
   • False

   Hint

   Consider what happens to mass in closed systems.

5. 5.

   Using the Navier-Stokes equations, how would you model the impact of viscosity on blood flow in a narrowed artery and predict potential blockages?

   Hint

   Consider how curvature and diameter affect flow characteristics.

6. 6.

   Discuss how you could apply CFD to optimize the design of a tidal energy harvester considering varying wave dynamics and their effect on turbine performance.

   Hint

   Think about the relationship between fluid speed and turbine efficiency.