7.2.1. Linear Momentum Equations

Try these first

1. 1.

   Define Cauchy's equations in fluid mechanics.

   Hint

   Think about the fundamental principles of fluid dynamics.

2. 2.

   What characterizes Newtonian fluids?

   Hint

   Consider familiar fluids like water.

3. 3.

   What do Cauchy's equations describe?

   • Energy conservation
   • Momentum conservation
   • Mass conservation

   Hint

   Think of what momentum means in terms of motion.

4. 4.

   True or False: Non-Newtonian fluids follow a linear relationship between shear stress and shear strain rate.

   • True
   • False

   Hint

   Consider fluids like glue or a thick syrup.

5. 5.

   Using Cauchy's equations, derive the momentum conservation equation for a fluid at rest.

   Hint

   What happens to shear stress when there is no motion?

6. 6.

   Analyze a real-world application of Navier-Stokes equations in predicting airflow over an airplane wing.

   Hint

   Think about how forces interact on curved surfaces.