Practice Practice Problem: Calculating Stream Function and Flow Rate - 2.10 | 11. Basics of Fluids Mechanics-II (Contd.) | Hydraulic Engineering - Vol 1
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Define Stream Function.

💡 Hint: Think about how it relates to fluid flow.

Question 2

Easy

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

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What is a stream function?

  • A type of fluid
  • A scalar function for streamlines
  • A force acting on fluids

💡 Hint: Think about how it's used in fluid dynamics.

Question 2

Flow rate is calculated by which method?

  • True
  • False

💡 Hint: Recall how we calculate flow rate.

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Challenge Problems

Push your limits with challenges.

Question 1

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.

Question 2

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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