Consider the flow field represented by the stream function (psi=A x y+A y^{2}), where (A=1 mathrm{~s}^{-1}). Show

Question:

Consider the flow field represented by the stream function $\psi=A x y+A y^{2}$, where $A=1 \mathrm{~s}^{-1}$. Show that this represents a possible incompressible flow field. Evaluate the rotation of the flow. Plot a few streamlines in the upper half plane.