A flow is defined by:

$f(z)=3z+ln(z)+\frac{2}{z}$

a$)$ Find the potential $()$ and stream $()$ functions in terms of $x$ and $y.$

b$)$ Find the velocities $u$ and $v$ in terms of $x$ and $y.$

c$)$ Find the velocities $u_r$ and $u_{}$ in terms of $r$ and $$

d$)$ Find the drag and lift. Assume density $=2\mathrm{.}5$

We also know that:

$sin2=2sincos$

$cos2=co{s}^2-si{n}^2$