$(10$ points$)$ Consider a thin flat plate $(0\mathrm{.}1m0\mathrm{.}1m)$ inside a wind tunnel. The plate is maintained at isothermal conditions corresponding to $T_s=120C.$ Air with a free stream velocity and temperature of $u_{}=10\frac{m}{s}$ and $T_{}=20C$ flows past the plate. Noting that the plate has two surfaces $($top and bottom$)$ and neglecting radiation heat transfer to the surroundings, what is the total heat transfer rate from the plate? Use the following for air properties: $=1\mathrm{.}018k\frac{g}{m^3},=2\mathrm{.}049{10}^{-5}k\frac{g}{m}s,Pr=0\mathrm{.}7,=\frac{0\mathrm{.}0031}{K},$ and $k=0\mathrm{.}0295\frac{W}{m}K$