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Unformatted text preview: I ( y ) = f I ( y ) = U y a = f ( y ) = Uy 2 2 a + constant Therefore, the velocity potential is ( x, y ) = U ^ x + y 2 2 a + constant The flow is incompressible if u vanishes. To check: u = u x + v y = x ( U ) + y w U y a W = U a W = 0 Thus, the flow is not incompressible ....
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- Spring '06