2.7 - Stream Function
Enroll to start learning
You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.
Practice Questions
Test your understanding with targeted questions
What is the definition of a stream function?
💡 Hint: Think about how it relates to flow rates.
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.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What does a stream function represent?
💡 Hint: Remember how it maintains consistency in flow across lines.
In what flow condition is the vorticity zero?
💡 Hint: Consider what constitutes a rotational flow.
1 more question available
Challenge Problems
Push your limits with advanced challenges
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.
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.
Get performance evaluation
Reference links
Supplementary resources to enhance your learning experience.