10.1.1 - Lec 30: The Navier-Stokes Equation III
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Practice Questions
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What is the main purpose of velocity potential functions?
💡 Hint: Think about how many scalar components we typically deal with in fluid flow.
What are the key assumptions made when analyzing incompressible viscous flow?
💡 Hint: Consider the flow direction and external forces acting on the fluid.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the primary function of velocity potential functions?
💡 Hint: Think about reducing components for simplifying fluid velocity.
Is the following statement true? Navier-Stokes equations can be approximated under certain conditions.
💡 Hint: Recall how assumptions like irrotational flow can aid in simplifications.
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Challenge Problems
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Using a scenario where water flows between a fixed and a moving plate, derive the expressions for shear stress and analyze the impact of varying velocities.
💡 Hint: Integrate your solutions considering velocity profiles will provide shear values.
Examine how flow around circular objects differs from flow past rectangular structures in terms of rotational effects.
💡 Hint: Compare the designs to determine how shapes influence flow separation.
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