2.1. Lecture Overview

Try these first

1. 1.

   Define the continuity equation.

   Hint

   Think about how fluid volume behaves in a flow.

2. 2.

   What differentiates rotational flow from irrotational flow?

   Hint

   Consider the rotation of fluid particles.

3. 3.

   What does the continuity equation represent in fluid flow?

   • Mass flow is constant
   • Velocity is constant
   • Pressure is constant

   Hint

   Think about how mass flows when the area changes.

4. 4.

   True or False: In irrotational flow, all components of angular velocity are zero.

   • True
   • False

   Hint

   Recall how angular velocities are defined.

5. 5.

   A pipe has a diameter of 6 inches at one end and 3 inches at another. If water flows at 5 ft/s at the wider end, calculate the speed of water at the narrow end.

   Hint

   Use the area of a circle for A1 and A2.

6. 6.

   Explain how vorticity affects a tornado's formation.

   Hint

   Consider the relationship between vorticity and rotational motion in storms.