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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
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