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A mathematical model for core-annular fluids with surfactants. (English) Zbl 1147.76020

Summary: We investigate the influence of surfactants in core-annular fluids without basic flow. The surfactant is considered insoluble in both film and core fluids. We derive a complete problem and obtain an asymptotic solution which satisfies a system of two coupled nonlinear partial differential equations. One describing the evolution of the interface and the other, the evolution of surfactant concentration throughout the interface.

MSC:

76D50 Stratification effects in viscous fluids
76M45 Asymptotic methods, singular perturbations applied to problems in fluid mechanics
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