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Problem 5.27

# Problem 5.27 - θ ψ r V r A ψ A θ f r Integrating r ψ V...

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Problem *5.27 [Difficulty: 3] Given: The velocity field Find: Whether or not it is a incompressible flow; sketch stream function Solution: V r A r V θ B r For incompressible flow 1 r r r V r d d 1 r θ V θ d d 0 1 r r r V r d d 0 1 r θ V θ d d 0 1 r r r V r d d 1 r θ V θ d d 0 Flow is incompressible Hence For the stream function
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Unformatted text preview: θ ψ r V r A ψ A θ f r ( ) Integrating r ψ V θ B r ψ B ln r ( ) g θ ( ) Comparing, stream function is ψ A θ B ln r ( ) ψ...
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