A mathematical model for core-annular flows with surfactants

Document Type

Article

Publication Date

12-1-2004

Abstract

The stability of core-anular flows is of fundamental scientific and practical importance. The interface between two immiscible fluids can become unstable by several physical mechanisms. Surface tension is one of those mechanisms of practical importance. We include in our model the effects of insoluble surfactants. A full problem is derived considering the surfactant transport equation. We carried out an asymptotic solution of the problem when the annulus is thin compared to the core-fluid radius and for waves which are of the order of the pipe radius. We obtain from matched asymptotic analysis a system of two coupled nonlinear partial differential equations for the interfacial amplitude and the surfactant concentration on the interface.

Identifier

18344375302 (Scopus)

Publication Title

Divulgaciones Matematicas

ISSN

13152068

First Page

117

Last Page

138

Issue

2

Volume

12

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