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In a two-dimensional, incompressible flow the fluid velocity components are given by: u = 6x y and v = -y - 4x. Show that

In a two-dimensional, incompressible flow the fluid velocity components are given by: u = 6x – y and v = -y - 4x. Show that the flow satisfies the continuity equation and obtain the expression for the stream function. If the flow is potential (irrotational), obtain the velocity potential function.

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