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Consider an incompressible, two-dimensional flow in the r-y plane. The velocity com-
ponents in this flow are given by
U =
Cy
x² + y²
and v=
-Cx
x² + y²
where C is a constant.
(a) Prove that this flow is physically possible.
(b) Find the equation of the streamlines.
(c) Plot some streamlines to show what the flow pattern looks like.

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