5.5 - Derivation of Stream Functions
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Practice Questions
Test your understanding with targeted questions
What is the definition of a stream function?
💡 Hint: Think of how it relates to velocity and flow.
Define incompressible flow.
💡 Hint: Consider how fluids behave under certain conditions.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does a stream function primarily do?
💡 Hint: Remember how streamlines relate to velocity.
True or False: Incompressible flow maintains constant density.
💡 Hint: Think about how fluids behave in different scenarios.
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Challenge Problems
Push your limits with advanced challenges
Analyze a two-dimensional incompressible flow field defined by the stream function ψ = x²y - y³. Derive the velocity components and verify the continuity equation.
💡 Hint: Use partial differentiation and remember continuity principles.
Evaluate the flow around a rotating cylinder modeled by the stream function ψ = r²θ. Can you describe the behavior of the flow and identify any critical points?
💡 Hint: Visualize fluid paths around a moving object.
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