Radius and surface tension of microscopic bubbles by second
gradient theory
F.dell'Isola, H.Gouin and P.Seppecher
C.R.Acad.Sci,
t.320, Série IIb, p. 211-216, 1995.
Résumé
The classical theory of Laplace is not suitable for describing the
behaviour
of microscopic bubbles. The theory of second gradient fluids (which are
able to exert shear stresses in equilibrium conditions) allows us to
obtain
a new expression for surface tension and radius of these bubbles in
terms
of functionals of the chemical potential. This relationship allows us
to
generalize the results of Cahn-Hilliard (1959) and Tolman (1948).