$(30$ points$)$ A shock wave is obverved in the diverging section of a supersonic diffuser $($the

dilameter at this focatisn is $0\mathrm{.}2$ ml $.$ The static preoure and static temperature before the shock

are known to be $100$ kPa and $250$ K $,$ and the total temperature is $475$ K $.$ Using a $=1\mathrm{.}2$ and an k $-$

value of $0\mathrm{.}5182k\frac{J}{k}{g}^{+}K$ or $518\mathrm{.}2(\frac{m^2}{s^{2**}}(K)).$

a$)$ Determine the Moch number before and ofter the shock, and the yelocity before the shock

$($m$/$s$)$

$=3$

b$)$ Determine the fotol pressure ond fotol temperoture after the shock. $($ kPo,$K)$ P $?$

c$)$ Determine the mass flow rote through the diffuser, $($ka$/$s$)$

$M^n=(R{d}^2)(U_2)$

$(30$ points$)$ A shock wave is obverved in the diverging section of a supersonic diffuser $($the

dilameter at this focatisn is $0\mathrm{.}2$ ml $.$ The static preoure and static temperature before the shock

are known to be $100$ kPa and $250$ K $,$ and the total temperature is $475$ K $.$ Using a $=1\mathrm{.}2$ and an k $-$

value of $0\mathrm{.}5182k\frac{J}{k}{g}^{+}K$ or $518\mathrm{.}2(\frac{m^2}{s^{2**}}(K)).$

a$)$ Determine the Moch number before and ofter the shock, and the yelocity before the shock

$($m$/$s$)$

$=3$

b$)$ Determine the fotol pressure ond fotol temperoture after the shock. $($ kPo,$K)$ P $?$

c$)$ Determine the mass flow rote through the diffuser, $($ka$/$s$)$

$M^n=(R{d}^2)(U_2)$