Air at $1$ atm and $20\backslash$deg C flows at $10$ m$/$s past a horizontal flat plate which has a surface temperature of $80\backslash$deg C$.$ The length of the plate is $1\mathrm{.}6$ m$.$ Calculate

a$)$ the average heat flux in W$/$m$2$ and

b$)$ the local heat flux at the discharge end of the plate.