7.4.3. Respective Forces in Fluid Flow

Try these first

1. 1.

   What are the Navier-Stokes equations used for?

   Hint

   Think about what fluid dynamics involves.

2. 2.

   Name two types of forces acting in fluid flow.

   Hint

   Consider the difference in how they act.

3. 3.

   What is the Navier-Stokes equation primarily used for?

   • Describe solid mechanics
   • Model fluid flow dynamics
   • Explain electrical currents

   Hint

   Consider the field of study relevant to these equations.

4. 4.

   True or False: Non-Newtonian fluids behave the same as Newtonian fluids.

   • True
   • False

   Hint

   Think about how viscosity changes with stress.

5. 5.

   Given a fluid's density and the forces acting on it, derive the Navier-Stokes equations under the assumption of incompressible flow. Explain each step.

   Hint

   Remember to apply both the mass conservation and momentum principle while deriving.

6. 6.

   Explore a real-world scenario in which non-Newtonian fluid behavior changes the expected results from the Navier-Stokes equations. Analyze and describe the effects.

   Hint

   Think about how varying viscosity affects flow rates and resistance.