Shown in the figure is the case of a fluid flowing parallel to a flat plate, where for a distance X from the leading edge, the plate and fluid are at the same temperature. For values of , the plate is...

Shown in the figure is the case of a fluid flowing parallel to a flat plate, where for a distance X from the leading edge, the plate and fluid are at the same temperature. For values of
, the plate is maintained at a constant temperature,
, where
. Assuming a cubic profile for both the hydrodynamic and the thermal boundary layers, show that the ratio of the thickness,
, is expressed as

Also show that the local Nusselt number can be expressed as