Air at atmospheric pressure and a temperature of $25C$ is in parallel flow at a velocity of $5\frac{m}{s}$ over a $1-$m$-$long flat plate that is heated from below with a uniform heat flux of $1250\frac{W}{m^2}.$ Assume the flow is fully turbulent over the length of the plate. Evaluate properties at $325K.$

$($a$)$ Calculate the plate surface temperature, $T_s(x),$ in $C,$ and the local convection coefficient, $h_x(x),$ in W$/{?}^2*K.$ at $x=0\mathrm{.}9m.$

$($b$)$ Calculate the average temperature of the plate surface, $\frac{?}{\text{b}\text{a}\text{r}}(T{)}_s,$ in $C.$

Part A

Calculate the plate surface temperature, $T_s(x),$ in $C,$ and the local convection coefficient, $h_x(x),$ in W$/{?}^2*K.$ at $x=0\mathrm{.}9m.$

$T_s(x)=,C$

$h_x(x)=,\frac{W}{m^2}*K$