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Fluid Dynamics continued Rotational Flow

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First, review-Bernoulli When can we use it?

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

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

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

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Rotational vs. Irrotational

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

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