Practice Stream Function - 2.7 | 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

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

Interactive Quizzes

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

Question 1

What does a stream function represent?

  • It represents pressure.
  • It represents temperature.
  • It represents flow rates across streamlines.

💡 Hint: Remember how it maintains consistency in flow across lines.

Question 2

In what flow condition is the vorticity zero?

  • True
  • False

💡 Hint: Consider what constitutes a rotational flow.

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Challenge Problems

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