A steady, two-dimensional, incompressible flow field in the xy-plane has a stream function given by =

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A steady, two-dimensional, incompressible flow field in the xy-plane has a stream function given by ψ = ax2 – by2 + cx + dxy, where a, b, c, and d are constants.

(a) Obtain expressions for velocity components u and v.

(b) Verify that the flow field satisfies the incompressible continuity equation.

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