1. Fluid Dynamics continued Rotational Flow

2. First, review-Bernoulli When can we use it?

3. Bernoulli’s equation Assumptions –Viscous effects are negligible –Steady flow (time-independent) –Incompressible flow –Valid along a streamline Equation (think energy conservation)

4. First, review-Bernoulli When can we use it? Along streamline when Perpendicular to streamline when –Irrotational flow; velocity the same in neighboring streamline, etc.

5. What is rotational flow? Sometimes obvious Sometimes not – consider rotation of a fluid element ?

6. Rotational vs. Irrotational

7. Amount of rotation Total rotational velocity: Example problem: simple shear