Task $3$: The potential function of a cylinder rotating in uniform stream of air can be described by modifying the potential function of a flow around a circular cylinder, by adding the term $\frac{}{2}$ to the potential function and subtracting the term $\frac{}{2}lnr$ to the stream function. Using MATLAB, visualize the stream and potential function for flow around rotating cylinder for $=1\frac{m^2}{s}.$ You can assume that the freestream velocity is $2\frac{m}{s}$ and the radius of the cylinder is $0\mathrm{.}1m.$ Describe what happens when the $$ term increases$/$decreases$,$ explaining your observations clearly and with illustrations where possible.