Repeat problem 4.17, except using linearized theory. Plot the linearized results on top of the same graphs produced for problem 4.17 in order to assess the differences between linear theory (which is approximate) and shock-expansion theory (which is exact). From this comparison, over what angle-of-attack range would you feel comfortable in applying linear theory?

Data From Problem 4.17:

Consider a flat plate with a chord length (from leading to trailing edge) of \(1 \mathrm{~m}\). The free-stream flow properties are \(M_{1}=3, p_{1}=1 \mathrm{~atm}\), and \(T_{1}=270 \mathrm{~K}\).