Problem $4.(30$ pts$)$ Air flows over the upper surface of a flat square plate with side length of $1\mathrm{.}5$ m $.$ The free stream velocity is $10\frac{m}{s}$ and the free stream gas temperature is $27C.$ The plate has a constant surface temperature of $127C.$ Determine the rate of convective heat transfer occurring from the plate to the air.

Use the following properties of air $(T_f=350K)$:

$c_p=1\mathrm{.}009k\frac{J}{k}g*K,k=0\mathrm{.}030\frac{W}{m}*K,=2\mathrm{.}08{10}^{-5}k\frac{g}{m}*s,=0\mathrm{.}995k\frac{g}{m^3},Pr=0\mathrm{.}70$