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3D Numerical Modeling of Soluble Surfactant at Fluidic Interfaces Based on the Volume-of-Fluid Method

Alke, A. and Bothe, D. (2009):
3D Numerical Modeling of Soluble Surfactant at Fluidic Interfaces Based on the Volume-of-Fluid Method.
5, In: Fluid Dynamics & Materials Processing, (4), pp. 345-372, [Article]

Abstract

We present a computational approach based on the Volume-of-Fluid (VOF) method for simulating the influence of a soluble surfactant on the behavior of two-phase systems with deformable interface. Our approach is applicable to diffusion controlled processes, where the relation between the area-specific excess surfactant concentration on the interface and the volume-specific concentration adjacent to the interface is given by an adsorption isotherm. Main issues of the numerical model are an extended surface transport theorem used for describing the interfacial flux and an iso-surface of the VOF-variable used as a connected approximation for the interface. 3D-simulations of a bubble moving through a surfactant solution show the formation of a monotone concentration profile along the bubble surface with a surfactant-rich zone at the bubble's rear end. This is accompanied by regions of depleted and increased surfactant concentration in the bulk phase due to adsorption and desorption, respectively. The rise velocity reflects the retardation effect known from experiments.

Item Type: Article
Erschienen: 2009
Creators: Alke, A. and Bothe, D.
Title: 3D Numerical Modeling of Soluble Surfactant at Fluidic Interfaces Based on the Volume-of-Fluid Method
Language: English
Abstract:

We present a computational approach based on the Volume-of-Fluid (VOF) method for simulating the influence of a soluble surfactant on the behavior of two-phase systems with deformable interface. Our approach is applicable to diffusion controlled processes, where the relation between the area-specific excess surfactant concentration on the interface and the volume-specific concentration adjacent to the interface is given by an adsorption isotherm. Main issues of the numerical model are an extended surface transport theorem used for describing the interfacial flux and an iso-surface of the VOF-variable used as a connected approximation for the interface. 3D-simulations of a bubble moving through a surfactant solution show the formation of a monotone concentration profile along the bubble surface with a surfactant-rich zone at the bubble's rear end. This is accompanied by regions of depleted and increased surfactant concentration in the bulk phase due to adsorption and desorption, respectively. The rise velocity reflects the retardation effect known from experiments.

Journal or Publication Title: Fluid Dynamics & Materials Processing
Volume: 5
Number: 4
Uncontrolled Keywords: Soluble Surfactant, Two-Phase Flow, VOF - Simulation, Surface transport theorem.
Divisions: Exzellenzinitiative > Clusters of Excellence > Center of Smart Interfaces (CSI)
04 Department of Mathematics > Mathematical Modelling and Analysis
UNSPECIFIED
Zentrale Einrichtungen
04 Department of Mathematics
Exzellenzinitiative
Exzellenzinitiative > Clusters of Excellence
Date Deposited: 05 Apr 2011 14:07
Identification Number: doi:10.3970/fdmp.2009.005.345
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