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3 cards from this section. Quick, good the night before a test.
What is a stream function?
Think about its role in simplifying calculations in fluid mechanics.
How do streamlines relate to fluid motion?
Consider their behavior in steady flow conditions.
What do stream functions help visualize in fluid dynamics?
Consider the paths taken by fluid particles.
True or False: Stream functions are only applicable for incompressible flows.
What about gases?
A flow field is characterized by the stream function ψ = 3xy. Determine the velocity components U and V and check if the field is divergence free.
Use partial derivatives of the stream function.
Given the stream function ψ = 12xy at a point (2,4), calculate the velocity field at this point.
Differentiate with respect to y for U and x for V and evaluate at the given point.
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