9.6.2. Volumetric Strain Rate

Try these first

1. 1.

   Define volumetric strain rate in your own words.

   Hint

   Think about how volume relates to fluid movement.

2. 2.

   What does linear strain represent?

   Hint

   Consider how objects stretch or compress.

3. 3.

   What is the definition of volumetric strain rate?

   • Change in length per total length
   • Change in volume per unit volume
   • Force per area

   Hint

   Focus on the aspect of volume rather than length or force.

4. 4.

   True or False: Shear strain rate measures the same as linear strain rate.

   • True
   • False

   Hint

   Remember the distinctions between linear vs. shear aspects of strain.

5. 5.

   A liquid flows from a large diameter pipe into a narrow pipe. Calculate the change in volumetric strain if the fluid undergoes an increase in velocity from 2 m/s to 8 m/s.

   Hint

   Apply the continuity equation and conservation laws.

6. 6.

   Explain how vorticity would affect volumetric strain in a turbulent flow scenario.

   Hint

   Consider how fast-moving layers adjacent to slow-moving layers interact.