Fluid Dynamics continued Rotational Flow

First, review-Bernoulli When can we use it?

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

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

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

Rotational vs. Irrotational

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