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Unformatted text preview: ) 1 r ( r sin ) ] k = ( 2) sin k Clearly, the flow is irrotational provided we choose = 2. The divergence of the velocity is u = 1 r r ( ru r ) + 1 r u = 1 r r p r 2 cos Q + 1 r ( r sin ) = 1 r (2 r cos ) + 1 r ( r cos ) = (2 1) cos Therefore, the flow is incompressible provided we select = 1/2....
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This note was uploaded on 02/09/2012 for the course AME 309 taught by Professor Phares during the Spring '06 term at USC.
- Spring '06