9.6. Shear Strain Rate and Deformation

Try these first

1. 1.

   What is shear strain rate?

   Hint

   Think about how angles change as layers of fluid slide over each other.

2. 2.

   Define linear strain.

   Hint

   Consider how a fluid's length might change as it flows.

3. 3.

   What does the shear strain rate measure?

   • A. Rate of change of speed
   • B. Rate of change of angle
   • C. Rate of change of volume

   Hint

   Think about the angle changes in fluid layers.

4. 4.

   True or False: Linear strain is related to the change in angle between lines.

   • True
   • False

   Hint

   Review the definitions of both terms.

5. 5.

   A fluid flows through a pipe whose diameter changes from 5 cm to 10 cm. Calculate the expected linear strain if the fluid maintains a constant volume.

   Hint

   Remember the relationship between diameter and area.

6. 6.

   The angle between two lines of flow in a fluid changed from 90 degrees to 80 degrees over 2 seconds. Calculate the shear strain rate. Discuss its implications in a flow application.

   Hint

   Express your answer in a consistent angular measure.