Practice Stream Function And Vorticity Analysis (11.1.3)

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6 sample questions

Question 1.
What does the stream function represent in fluid flow?
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Think about how fluid flows along curves.
Question 2.
Define vorticity in the context of fluid dynamics.
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Consider rotation around a point in fluid.
3Question 3.
What does a stream function indicate in fluid motion?
- Represent velocity directly
- Shows flow patterns
- Calculates pressure gradient
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Consider the role of streamlines.
4Question 4.
Vorticity is a measure of what?
- True
- False
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Think of rotation in fluids.
Question 5.
A water flow between two parallel plates has the velocity described by u = h^2/(2μ)(1 - (y^2/h^2)). Calculate the wall shear stress at y = h.
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Consider the relationship to the viscosity and velocity gradient.
Question 6.
If the vorticity is not zero in a flow field, can you find the velocity potential function? Justify your answer.
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Reflect on irrotational flow characteristics.

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