Practice Lec 31: Approximate Solutions Of Navier-stokes Equation: Boundary Layer Approximation (10.5)

Practice: Lec 31: Approximate Solutions of Navier-Stokes Equation: Boundary Layer Approximation

Lesson 10.5The Navier-Stokes Equation III

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6 sample questions

Question 1.
What is a boundary layer in fluid mechanics?
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Think about flow near any solid object.
Question 2.
What conditions must be satisfied to utilize the boundary layer approximation?
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Remember the acronym SIV.
3Question 3.
What is the purpose of approximating the Navier-Stokes equations?
- To simplify calculations
- To increase complexity
- To ignore fluid behavior
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Think about why simplifications are necessary.
4Question 4.
True or False: A boundary layer only forms in turbulent flow.
- True
- False
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Consider where viscosity plays a role.
Question 5.
Derive an expression for velocity distribution in water flow between two plates moving at different velocities. Assume a linear velocity profile at the boundary. Discuss how pressure gradient affects this profile.
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Focus on integrating the simplified Navier-Stokes equations under the right assumptions.
Question 6.
Given a flat plate with a known flow velocity and viscosity, calculate the thickness of the boundary layer. Discuss the factors affecting its thickness.
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Consider how viscosity relates to flow resistance over the boundary layer.

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