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3 cards from this section. Quick, good the night before a test.
What does the stream function help us visualize in fluid flow?
Think about what helps illustrate paths in fluid movement.
True or False: Streamlines are the paths of fluid particles flowing through a medium.
Recall the definition of streamlines.
What is the main advantage of using the stream function?
Recall how it impacts the continuity equation.
Is it True or False that the stream function assists in identifying the trajectory of fluid particles?
Think about what streamlines represent.
Given two parallel streamlines defined by φ(x,y) = 2x + y and φ(x,y) = 10, find the mass flow rate between these two streamlines if the density is uniform at 1 kg/m³.
Use the given density and the difference in stream function values.
In a fluid flow scenario, the continuity equation must hold. Discuss how using the stream function assists in fulfilling this requirement.
Reflect on the simplification it provides for fluid flow equations.
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