Module 2: "Capliarity"
  Lecture 6: ""
 

Axisymmetric surfaces

Figure 2.6. Axisymmetric surface ( is the axis of symmetry)

An axisymmetric surface is a surface obtained by rotating a curve around an axis

For an axisymmetric surface (Fig. 2.6),

(2.22)
(2.23)

Consider a liquid drop on a surface (Figure 2.6). being constant, the Helmholtz free energy is given as

Since,

We get,

also includes the body forces.

Here, as a funtion of is not known.

is a functional and variational calculus can be used to find its extrema.