Example. A thin film supported by two wire loops (Fig. 2.19).
Figure 2.18. A thin film supported by two wire loops.
The thin film here has an axisymmetric surface (or meniscus).
, the volume of liquid comprising the thin film, is negligible, therefore the body forces can be neglected.
Also, . Thus in the energy functional, the term vanishes.
Upon integration, we get
At (not known a priori), and .
Upon further integration, one gets
, the volume of liquid comprising the thin film, is negligible, therefore the body forces can be neglected.
. Thus in the energy functional, the 
term vanishes.
(not known a priori), and 
.
