11.1.7 - Third Example
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Practice Questions
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Define irrotational flow.
💡 Hint: Think about the relationship between rotation and flow.
What does the continuity equation represent?
💡 Hint: Consider conservation principles.
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Interactive Quizzes
Quick quizzes to reinforce your learning
Which of the following describes an irrotational flow?
💡 Hint: Think about the concept of rotation in a fluid.
True or False: A flow's vorticity can be non-zero in an irrotational flow.
💡 Hint: Reflect on the definition of irrotational flow.
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Challenge Problems
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Given the velocity field u = y^2, v = -2xy, prove whether it is irrotational or not.
💡 Hint: Recollect the formula for vorticity.
Consider φ(x,y) = 3x^2 + 4y. Is this potential function consistent with an incompressible flow?
💡 Hint: Use the Laplace condition in the analysis.
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