Problem $09\mathrm{.}090.$b $-$ Velocity profile for oil falling along a tilted incline

Consider steady, incompressible, parallel, laminar flow of a film of oil falling slowly down an infinite vertical wall inclined at an angle $\backslash (\backslash$alpha $\backslash )$ as shown in the figure. The oil film thickness is $\backslash ($ h $\backslash ),$ and gravity acts in the negative $\backslash ($ z $\backslash )-$direction. There is no applied $($forced$)$ pressure driving the flow$-$the oil falls by gravity alone.

Plot the dimensionless velocity profile $\backslash ($ u$\_\{$s$\}\{\}^\{*\}\backslash )$ versus $\backslash ($ n$^\{*\}\backslash )$ for the case in which $\backslash (\backslash$alpha$=60^\{\backslash$circ$\}\backslash ).$ Hint: What is the non$-$dimensionalized velocity? $($Please upload your response$/$solution using the controls below.$)$