You are taking a shower in your normally unheated bathroom. It's winter and you notice an extreme amount of condensation on the walls. Given the following information, calculate:

a. The velocity profile in the condensed film.

b. The boundary layer thickness at the wall/floor interface.

c. The average heat flux through the film.

d. The mass flow rate of water flowing from the wall onto the floor.

e. How much water actually clings to the wall.

\[T_{s}=10^{\circ} \mathrm{C} \quad T_{\text {sat }}=40^{\circ} \mathrm{C}\]

Wall dimensions: \(2 \mathrm{~m}\) (high) \(\times 1 \mathrm{~m}\) (wide).