5.1.1 - Lec 26: Stream Function
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Practice Questions
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What is a stream function?
💡 Hint: Think about its role in simplifying calculations in fluid mechanics.
How do streamlines relate to fluid motion?
💡 Hint: Consider their behavior in steady flow conditions.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What do stream functions help visualize in fluid dynamics?
💡 Hint: Consider the paths taken by fluid particles.
True or False: Stream functions are only applicable for incompressible flows.
💡 Hint: What about gases?
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Challenge Problems
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A flow field is characterized by the stream function ψ = 3xy. Determine the velocity components U and V and check if the field is divergence free.
💡 Hint: Use partial derivatives of the stream function.
Given the stream function ψ = 12xy at a point (2,4), calculate the velocity field at this point.
💡 Hint: Differentiate with respect to y for U and x for V and evaluate at the given point.
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