Consider two airfoils tested in two different environments where Airfoil 2 is a three times scale replica of Airfoil 1.

\begin{array}{lll}
\hline \text { Factors } & \text { Airfoil 1 } & \text { Airfoil 2 } \\
\hline ho & 1.28 \mathrm{~kg} / \mathrm{m}^3 & 1.01 \mathrm{~kg} / \mathrm{m}^3 \\
V_{\infty} & 100 \mathrm{~m} / \mathrm{s} & 300 \mathrm{~m} / \mathrm{s} \\
\mathrm{T} & 200 \mathrm{~K} & 1800 \mathrm{~K} \\
\hline
\end{array}

a. Determine if these flows are dynamically similar assuming that both \(\mu\) and \(a\) are proportional to \(T^{\frac{1}{2}}\).

b. If the flows are similar, explain why. If the flows are not similar, what one parameter would you change in Test 2 to make them similar and what would its new value be?

c. Now assume that Airfoil 2 is no longer a three times scale replica of Airfoil 1. Airfoil 2 still has a chord that is three times larger than that of Airfoil 1, but now Airfoil 1 is symmetric whereas Airfoil 2 has positive camber. Are these two flows dynamically similar (assuming both \(\mu\) and \(a\) are proportional to \(T^{\frac{1}{2}}\) ) or could they be made similar by changing one experimental parameter as in b?