Q$2$: Design a two$-$dimensional contraction with an area ratio of $3$: $1.$ The inlet section is contraction's longitudinal length to be $100$ cm $.$

A$.$ Calculate the shape of the contraction.

B$.$ Draw a neat sketch of the contraction showing its main features.

C$.$ Derive a formula for the pressure coefficient distribution along the contraction. inner walls on the pressure coefficie

Q$3$: The pressure coefficient distribution over a two$-$dimensional airfoil at $\backslash (4^\{\backslash$circ$\}\backslash )$ incidences may approximated as follows

$-$ Upper surface: $\backslash ($ C$\_\{$p$\}\backslash )$ is constant at $-0\mathrm{.}8$ from the leading edge, LE$,$ to $\backslash (60\backslash \%\backslash )$ of the chord, then increasing linearly to $+0\mathrm{.}1$ at the trailing edge, TE$.$ linearly to $+0\mathrm{.}1$ at the trailing edge, TE$.$

A$.$ Sketch the pressure coefficient distribution over the upper and lower surface. B$.$ Calculate the lift coefficient and pitching moment coefficient about the leading edge due to lift.