9.6.4. Strain Rate Tensor in Cartesian Coordinates

Try these first

1. 1.

   What is a strain rate tensor?

   Hint

   Think about how fluids change their shape when moving.

2. 2.

   Define linear strain rate.

   Hint

   Consider length changes in a flowing fluid.

3. 3.

   What does the strain rate tensor measure?

   • Pressure
   • Deformation
   • Flow Velocity

   Hint

   Think about what describes changes in shape.

4. 4.

   True or False: The shear strain rate describes the increase in length.

   • True
   • False

   Hint

   Focus on what shear implies.

5. 5.

   A fluid flows through a pipe where the diameter decreases from 4m to 2m. If the initial velocity is 5 m/s, calculate the strain rates and describe how the fluid properties change.

   Hint

   Consider how velocity differences across diameters impact strain.

6. 6.

   In a fluid element experiencing shear strain, derive the relation between applied shear stress and shear strain rate.

   Hint

   Focus on creating the relationship through experimental observations.