A two-dimensional flow field is characterized as (u=A x^{2}) and (u=B x y) where (A=frac{1}{2} mathrm{~m}^{-1} mathrm{~s}^{-1})

Question:

A two-dimensional flow field is characterized as $u=A x^{2}$ and $u=B x y$ where $A=\frac{1}{2} \mathrm{~m}^{-1} \mathrm{~s}^{-1}$ and $B=-1 \mathrm{~m}^{-1} \mathrm{~s}^{-1}$, and $x$ and $y$ are in meters. Demonstrate that the velocity field represents a possible incompressible flow field. Determine the rotation at the location $(1,1)$. Evaluate the circulation about the "curve" bounded by $y=0$, $x=1, y=1$, and $x=0$.

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