Using equation (14.9), tabulate the entropy increase across a normal shock from Mach 1 to Mach 1.3 in Mach number increments of 0.02. What does the variation tell you about the nature of the transonic regime and how far that regime might be defined using Mach number as the criterion?

\[\begin{align*}
& \frac{s_{2}-s_{1}}{R}=\frac{2 \gamma}{3(\gamma+1)^{2}} m^{3}+\cdots \\
& \frac{s_{2}-s_{1}}{R} \approx \frac{2 \gamma}{3(\gamma+1)^{2}}\left(M_{1}^{2}-1\right)^{3} \tag{14.9}
\end{align*}\]