A flow field is formed by combining a uniform flow in the positive \(x\) direction, with \(U=10 \mathrm{~m} / \mathrm{s}\), and a counterclockwise vortex, with strength \(K=16 \pi \mathrm{m}^{2} / \mathrm{s}\), located at the origin. Obtain the stream function, velocity potential, and velocity field for the combined flow. Locate the stagnation point(s) for the flow. Plot the streamlines and potential lines.