Practice Approximate Solutions For Navier-stokes (10.4.1)

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6 sample questions

Question 1.
Define the Navier-Stokes equations and their importance.
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What kind of fluids do these equations describe?
Question 2.
What is meant by irrotational flow?
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Think about the flow patterns in an ideal fluid.
3Question 3.
What does the Navier-Stokes equation describe?
- Solid motion
- Fluid mechanics
- Gas pressure
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Consider the type of behavior that fluids exhibit.
4Question 4.
Is irrotational flow used only in ideal fluid scenarios?
- True
- False
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Think about how friction influences flow.
Question 5.
You have a cylindrical tank with water. Derive the velocity profiles and pressure distributions present when fluid is allowed to flow from a height under gravity.
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Consider gravity while integrating Bernoulli's equation.
Question 6.
In a pipe flow scenario, derive velocity distributions and shear stresses as fluid passes through a varying cross-section.
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Think about how conservation of mass applies here.

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