We study the vertical liquid profile of foam drainage using the three-
dimensional large-Q Potts model extended to include gravity. Forced dr
ainage with constant-rate liquid input from the top of the foam produc
es a constant profile. In free drainage, without liquid input from the
top, homogeneously distributed liquid drains to the bottom of the foa
m until capillary effects and gravity balance. For pulsed drainage, as
liquid drains from the top of the foam into the dry foam, a sharp int
erface between the wet and dry foam develops. The fixed profile moves
downwards at a constant velocity with a flat interface. The results of
our simulations are suggested in both experiments and simplified mean
-field analytical results.