Problem 5.24 - Problem 5.24 [Difficulty: 3] Given: The...

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Problem 5.24 [Difficulty: 3] Given: The velocity field Find: Whether or not it is a incompressible flow; sketch various streamlines Solution: V r A r V θ B r For incompressible flow 1 r r rV r  d d 1 r θ V θ d d 0 1 r r r d d 0 1 r θ V θ d d 0 Hence 1 r r r d d 1 r θ V θ d d 0 Flow is incompressible For the streamlines dr V r rd θ V θ rdr A r 2 d θ B r 1 r d θ A B d Integrating ln r () A B θ const so 4 2 0 2 4 4 2 2 4 (a) (b) (c) Equation of streamlines is
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