9.4.2.2. Rotations

Try these first

1. 1.

   What is vorticity?

   Hint

   It's related to the fluid's velocity.

2. 2.

   Name one application of PIV.

   Hint

   Think of how we track particles in water.

3. 3.

   What does vorticity measure?

   • Fluid temperature
   • Local rotation of a fluid
   • Flow velocity

   Hint

   Think about how we describe rotation or spin.

4. 4.

   True or False: Particle Image Velocimetry (PIV) can only measure 2D fluid flow.

   • True
   • False

   Hint

   Consider how fluid is visualized in real-time experiments.

5. 5.

   Given a velocity field defined as V = (y, -x, 0), calculate the vorticity at any point.

   Hint

   Recall that curls involve derivatives of the velocity components.

6. 6.

   Imagine a scenario where fluid flow velocities change over time. Define how you would use PIV to track these changes over a 10-second interval.

   Hint

   What technology could you leverage to visualize these changes?