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Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the definition of a stream function?
💡 Hint: Think about how it relates to flow rates.
Question 2
Easy
Write the formulas for u and v in terms of the stream function.
💡 Hint: One is derived from the y direction, while the other is negative from x.
Practice 4 more questions and get performance evaluation
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
What does a stream function represent?
💡 Hint: Remember how it maintains consistency in flow across lines.
Question 2
In what flow condition is the vorticity zero?
💡 Hint: Consider what constitutes a rotational flow.
Solve 1 more question and get performance evaluation
Push your limits with challenges.
Question 1
Consider a velocity potential function φ(x, y) = 2xy + x^2 - 3y^2. Derive the stream function ψ and evaluate it across streamlines defined by y=1, y=2.
💡 Hint: Utilize partial derivatives properly.
Question 2
Analyze a scenario where a stream function yields divergent velocities in a rectangular domain. Describe how the flow patterns emerge.
💡 Hint: List multiple responses regarding velocity behavior dependent on boundary conditions.
Challenge and get performance evaluation