11.1.6. Second Example

Try these first

1. 1.

   What does the term irrotational mean in fluid flow?

   Hint

   Think about the rotation of particles.

2. 2.

   Name one device used to visualize fluid flow.

   Hint

   It has a unique name related to a scientist.

3. 3.

   What is an irrotational flow?

   • A flow with rotation
   • A flow without rotation
   • A turbulent flow

   Hint

   Think about the particle movement.

4. 4.

   Continuous flow must satisfy which equation?

   • True
   • False

   Hint

   Recall the principle of conservation.

5. 5.

   Given a velocity field, determine if the flow is rotational or irrotational using vorticity calculations.

   Hint

   Calculate the derivatives carefully.

6. 6.

   Prove that a given stream function yields specific velocity components through differentiation.

   Hint

   Look back at the relationships in fluid theory.