Problem # $4$

Conditions before a normal shock are $M_1=2\mathrm{.}5,p_{t1}=67a,$ and $T_{t1}=700R.$ This is followed by a length of Fanno flow and a converging nozzle as shown in Figure. The area change is such that the system is choked. It is also known that $p_4=p_{\text{a}\text{m}\text{b}}=14\mathrm{.}7a.$

$($a$)$ Draw a $T-s$ diagram for the system.

$($b$)$ Find $M_2$ and $M_3.$

$($c$)$ What is $f\frac{L}{D}$ for the duct?

Use gas dynamics tables