Air $($Ta$=30$C$)$ flowing over the flat square plate $300$mm$300$mm is size, at a velocity of $4$m$/$s$.$ The plate surface is maintained at a temperature of $50$C$.$ Calculate:

$1)$ Boundary layer thickness at $300$mm from leading edge.

$2)$ Local and average heat transfer coefficient$$

$3)$ Local and average coefficient of friction$$

$4)$ Total heat transported from the plate.