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Modelling of Surfactant Concentration in a Coupled Bulk Surface Problem
Author(s) -
Hahn Andreas,
Held Kristin,
Tobiska Lutz
Publication year - 2014
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201410250
Subject(s) - pulmonary surfactant , surface tension , adsorption , coupling (piping) , diffusion , desorption , surface (topology) , mechanics , thermodynamics , flow (mathematics) , chemistry , materials science , chemical engineering , physics , mathematics , composite material , geometry , engineering
Surface active agents (surfactants) are on high interest for physical and chemical industries. Their presence lowers the surface tension of fluids. This is used to achieve special flow properties. These mechanisms are not only influenced by the overall amount of surfactant. They highly depend on the local surfactant distribution. The surfactant concentration is modeled by two convection diffusion equations, one in the bulk and the other on its surface. Adsorption‐ and desorption processes are included and lead to a (non linear) coupling of both equations. We present a numerical scheme for solving the coupled problem. Additionally, first analytical results will be given. (© 2014 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)