Practice Stream Function (4.4) - Viscous Fluid Flow (Contd.) - Hydraulic Engineering - Vol 3

Practice: Stream Function

Lesson 4.4Viscous Fluid Flow (Contd.)

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9 questions

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2 cards from this section. Quick, good the night before a test.
Exercise
6 questions · about 4 min · pass mark 70%. Hints available.
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Quiz
3 questions · about 2 min · pass mark 70%. Hints available.
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6 sample questions

Question 1.
What does the stream function represent in fluid dynamics?
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Think about a mathematical function related to flow.
Question 2.
Define the continuity equation.
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Consider why mass needs to be conserved.
3Question 3.
What is a stream function used for?
- To calculate pressure
- To represent flow patterns
- To measure density
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Consider its role in visualizing fluid characteristics.
4Question 4.
True or False: The continuity equation states that mass cannot be created or destroyed in a fluid flow.
- True
- False
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Recall the conservation laws we discussed.
Question 5.
Given a two-dimensional fluid flow characterized by u(x,y) = x^2 - y^2 and v(x,y) = 2xy, derive the stream function and verify its properties.
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Start by substituting the velocity components into the stream function equations.
Question 6.
How would introducing a variable density (ρ = ρ(x,y)) affect the application of the stream function in a flow system? Propose adjustments.
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Think about how density affects mass calculations in flow.

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