$1\mathrm{.}27$ Consider two airfoils tested in two different environments where Airfoil $2$ is a three times scale replica of Airfoil $1.$

a$.$ Determine if these flows are dynamically similar assuming that both $$ 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 $$ and a are proportional to $T^{\frac{1}{2}})$ or could they be made similar by changing one

experimental parameter as in $b?$