Consider isentropic flow of an ideal gas with constant k.

Chapter 9, Problem 9.121

(choose chapter or problem)

Consider isentropic flow of an ideal gas with constant k.

(a) Show that \(\frac{T^{*}}{T_{\mathrm{o}}}=\frac{2}{k+1} \text { and } \frac{p^{*}}{p_{\mathrm{o}}}=\left(\frac{2}{k+1}\right)^{k /(k-1)}\) where

T* and p* are the temperature and pressure, respectively, at the state where Mach number is unity, and To and po are the temperature and pressure, respectively, at the stagnation state.

(b) Using the results of part (a), evaluate T* and p* for Example 9.14, in K and kPa, respectively.

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