4.3. Equations in Vector Form

Try these first

1. 1.

   What defines a fluid in mechanics?

   Hint

   Consider the resistance to shear.

2. 2.

   List two kinematic properties of fluids.

   Hint

   Think about how fluids move.

3. 3.

   What term describes a fluid that deforms under shear?

   • Solid
   • Viscous fluid
   • Gas

   Hint

   Think about how different states of matter behave.

4. 4.

   True or False: The Navier-Stokes equations only apply to non-viscous fluids.

   • True
   • False

   Hint

   Recall the definition of the equations.

5. 5.

   Derive the fundamental equations governing viscous fluid motion and explain the significance of each term.

   Hint

   Describe physical implications of each part in practical scenarios.

6. 6.

   Consider a fluid element undergoing shear strain. Calculate the resulting deformation over time, given defining velocities.

   Hint

   Think about the relationship between velocities, strain, and time.