1.6 - Velocity potential and stream function
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Practice Questions
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Define velocity potential.
💡 Hint: Think about potential energy in a fluid context.
What does a stream function represent?
💡 Hint: Consider how fluid motion can be illustrated.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is velocity potential primarily associated with?
💡 Hint: Remember the flow conditions where it applies.
True or False: Stream functions can only be used in three-dimensional flows.
💡 Hint: Think about the dimensional restrictions of flow representation.
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Challenge Problems
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For a given flow field, derive expressions for the velocity potential and stream function based on specified boundary conditions.
💡 Hint: Start with Laplace's equation for irrotational flows.
Analyze the effect of changing boundary conditions on the existence of unique solutions in a fluid problem.
💡 Hint: Consider cases with multiple or no solutions based on how conditions are changed.
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