10.5 - Lec 31: Approximate Solutions of Navier-Stokes Equation: Boundary Layer Approximation
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Practice Questions
Test your understanding with targeted questions
What is a boundary layer in fluid mechanics?
💡 Hint: Think about flow near any solid object.
What conditions must be satisfied to utilize the boundary layer approximation?
💡 Hint: Remember the acronym SIV.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the purpose of approximating the Navier-Stokes equations?
💡 Hint: Think about why simplifications are necessary.
True or False: A boundary layer only forms in turbulent flow.
💡 Hint: Consider where viscosity plays a role.
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Challenge Problems
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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.
💡 Hint: Focus on integrating the simplified Navier-Stokes equations under the right assumptions.
Given a flat plate with a known flow velocity and viscosity, calculate the thickness of the boundary layer. Discuss the factors affecting its thickness.
💡 Hint: Consider how viscosity relates to flow resistance over the boundary layer.
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