Modelisation of fluid-fluid interfaces with material properties
R. Gatignol and P. Seppecher
Journal de Mécanique Théorique et
Appliquée,
Numero Spécial 1986, p. 225-247.
Abstract
The interfaces are considered as thin three-dimensional layers.
The fluid inside these layers is a mixture the internal energy of which
depends on the density gradient of each constituent. The internal
strengths
are described by the second gradient theory. The corresponding equation
set is then integrated through the layer. So we obtain the evolution
equations
of the interfacial physical quantities in which there enter the
parameters
of the fluids on both sides of the interface. Then by an asymptotic
process
the interfacial layer may be considered as a carrier surface of
material
quantities. As a special case the balance laws are derived for an
interface
without mass but carrying a surfactant. At last using the linear
thermodynamic
of the irreversible processes we give the intsible processes we give
the
interfacial transport coefficients.
To get a copy of this paper, please ask to seppecher@univ-tln.fr