Practice Velocity Potentials And Pressure Gradients (10.3)

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10 questions

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4 questions · about 3 min · pass mark 70%. Hints available.
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6 sample questions

Question 1.
Define velocity potential.
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Consider the relationship between velocity and a scalar function.
Question 2.
What does it mean for flow to be irrotational?
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Think about flow behavior and vorticity.
3Question 3.
What is a velocity potential?
- A measure of fluid pressure
- A scalar function giving the velocity field
- A type of fluid behaviour
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Think about how potential translates into flow.
4Question 4.
True or False: Irrotational flow can be analyzed using velocity potentials.
- True
- False
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Recall the definition of irrotational flow.
Question 5.
A pipe of varying diameter carries water. Calculate the velocity change at two sections and find the relation to pressure gradients.
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Remember the continuity principle about flow rate.
Question 6.
Demonstrate how velocity potentials can be utilized to simplify a complex fluid flow problem involving multiple forces.
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Consider derivatives and how they relate back to the original fluid properties.

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