2.10 - Practice Problem: Calculating Stream Function and Flow Rate
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Practice Questions
Test your understanding with targeted questions
Define Stream Function.
💡 Hint: Think about how it relates to fluid flow.
Calculate the flow rate between stream functions ψ₁ = 5 and ψ₂ = 10.
💡 Hint: Use the difference method for flow rates.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is a stream function?
💡 Hint: Think about how it's used in fluid dynamics.
Flow rate is calculated by which method?
💡 Hint: Recall how we calculate flow rate.
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Challenge Problems
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If φ is defined as φ = x^2 - 3xy + y^2, derive the stream function and then calculate the flow rate between points (2,1) and (2,2).
💡 Hint: Start by finding u and v using partial derivatives.
Given φ = xy^2 - x^2 + 2y, determine how to express ψ and then compute the flow rate between the streamline at points (1,1) and (1,2).
💡 Hint: Remember to integrate correctly to get ψ from the velocity potential φ.
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