:$-$ Engine oil at $(308$ K $)$ flows over a flat plate at $(6c\frac{m}{sec}).$ The plate long is $)$ and

heated uniformly over its length and maintained at a surface temperature of $(85C)$

Evaluate the following :$-$

$1-$ Hydrodynamic and thermal boundary layer thicknesses at the trailing edge of the plate.

$2-$ Total drag force per unit width on one side of the plate.

$3-$ Local heat transfer coefficient at the end of the plate.

$4-$ Total heat transferred from the surface per unit width.

$5-$ Estimate the heat loss from $(3$ m $)$ length of the plate measured from its trailing edge.

Note For laminar flow assume the velocity profile is $\frac{u}{U_{}}=\frac{3}{2}(\frac{y}{})-\frac{1}{2}(\frac{y}{}{)}^3$

For turbulent flow assume the velocity profile is $\frac{u}{U_s}=(\frac{y}{}{)}^7$