Practice Stream Function (ψ) - 9 | Fluid Kinematics | Fluid Mechanics & Hydraulic Machines
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Stream Function (ψ)

9 - Stream Function (ψ)

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the definition of the stream function?

💡 Hint: Think about how it connects velocity and flow.

Question 2 Easy

How does the stream function ensure the continuity equation is satisfied?

💡 Hint: Consider the relationship between ψ and velocity.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does the stream function relate to in fluid flow?

Pressure
Temperature
Velocity Components

💡 Hint: Focus on the role of ψ in defining how fluid moves.

Question 2

True or False: The stream function can only be used in three-dimensional flows.

True
False

💡 Hint: Recall the definition's dimensional constraints.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

If the stream function is given by ψ(x, y) = xy, find the velocity components and show if they satisfy the continuity equation.

💡 Hint: Check each derivative carefully!

Challenge 2 Hard

Design a simple experiment to visualize streamlines in water flow using a stream function.

💡 Hint: Think about how you can introduce the dye and observe the flow patterns.

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Reference links

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