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The stream function for a given 2-D horizontal flow field is ψ = 4x^3 −12xy^2 ,...

The stream function for a given 2-D horizontal flow field is ψ = 4x^3 −12xy^2 , where the stream function has a unit of cubic meter per minute, while x and y in meters.

a) Determine the flow velocity at two points in the flow field, A at (2, 0) and B at (0, 2).

b) Estimate the rate of flow across the straight line between A and B.

c) Show evidence that the flow is irrotational.

d) Determine the pressure difference between points A and B.

e) Determine the velocity potential for this flow field.

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