Practice Stream Function (2.7) - Basics of Fluids Mechanics-II (Contd.)

Practice: Stream Function

Lesson 2.7Basics of Fluids Mechanics-II (Contd.)

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9 questions

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6 sample questions

Question 1.
What is the definition of a stream function?
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Think about how it relates to flow rates.
Question 2.
Write the formulas for u and v in terms of the stream function.
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One is derived from the y direction, while the other is negative from x.
3Question 3.
What does a stream function represent?
- It represents pressure.
- It represents temperature.
- It represents flow rates across streamlines.
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Remember how it maintains consistency in flow across lines.
4Question 4.
In what flow condition is the vorticity zero?
- True
- False
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Consider what constitutes a rotational flow.
Question 5.
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.
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Utilize partial derivatives properly.
Question 6.
Analyze a scenario where a stream function yields divergent velocities in a rectangular domain. Describe how the flow patterns emerge.
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List multiple responses regarding velocity behavior dependent on boundary conditions.

5 more questions in this section. Enroll free to practise them all.