$6\mathrm{.}109$ A flow field is formed by combining a uniform How in the positive $x$ direction, with $U=10\frac{m}{sec},$ and a counterclockwise vortex, with strength $K=4\frac{m^2}{sec},$ located at the ongin. Obtain the stream function, velocity potential, and velocity field for the combined flow. Locate the stagnation point$($s$)$ for the flow. Sketch the streamine that passes through point $(r,)=(5\frac{K}{}U,).$