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Modelisation of fluid-fluid interfaces with material properties. (English) Zbl 0613.76116

The interfaces are seen 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 a 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 interfacial transport coefficients.

MSC:

76T99 Multiphase and multicomponent flows
76M99 Basic methods in fluid mechanics
82C70 Transport processes in time-dependent statistical mechanics
82B05 Classical equilibrium statistical mechanics (general)
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