We investigate pattern formation in the immiscible displacement of foa
m from a confining geometry. The dominant length scales with the drivi
ng pressure gradient as for a Newtonian fluid, but depends surprisingl
y on the ratio of plate separation to bubble diameter. The pattern mor
phology exhibits a transition from a jagged, presumably elastic, chara
cter to a smooth, viscous character as the shear strain rate rises far
above the natural internal relaxation time scale of the foam. These f
eatures may result from the two-dimensional nature of the flows and th
e unusual rheology of foams.