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4 cards from this section. Quick, good the night before a test.
Define a stream function.
Think about the relationship between flow paths and fluid particles.
What do streamlines represent?
Focus on how fluid particles move through the flow.
What does a stream function represent?
Think about how they simplify the analysis of fluid motion.
True or False: Streamlines can cross each other.
Recall what streamlines indicate about fluid paths.
For a stream function ψ = 3xy - y^2, find the velocity components u and v. Determine if this satisfies the continuity equation for incompressible flow.
Be careful to calculate the partial derivatives accurately.
Explain how you would visualize the airflow around a cylindrical object using stream functions. What would you expect to see?
Think about the physical behavior of liquids around solid objects.
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