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A numerical method for two phase flows with insoluble surfactants
KTH, School of Computer Science and Communication (CSC), Numerical Analysis, NA.
2011 (English)In: Computers & Fluids, ISSN 0045-7930, E-ISSN 1879-0747, Vol. 49, no 1, 150-165 p.Article in journal (Refereed) Published
Abstract [en]

In many practical multiphase flow problems, i.e. treatment of gas emboli and various microfluidic applications, the effect of interfacial surfactants, or surface reacting agents, on the surface tension between the fluids is important. The surfactant concentration on an interface separating the fluids can be modeled with a time dependent differential equation defined on the moving and deforming interface. The equations for the location of the interface and the surfactant concentration on the interface are coupled with the Navier-Stokes equations. These equations include the singular surface tension forces from the interface on the fluid, which depend on the interfacial surfactant concentration. A new accurate and inexpensive numerical method for simulating the evolution of insoluble surfactants is presented in this paper. It is based on an explicit yet Eulerian discretization of the interface, which for two dimensional flows allows for the use of uniform one dimensional grids to discretize the equation for the interfacial surfactant concentration. A finite difference method is used to solve the Navier-Stokes equations on a regular grid with the forces from the interface spread to this grid using a regularized delta function. The timestepping is based on a Strang splitting approach. Drop deformation in shear flows in two dimensions is considered. Specifically, the effect of surfactant concentration on the deformation of the drops is studied for different sets of flow parameters.

Place, publisher, year, edition, pages
2011. Vol. 49, no 1, 150-165 p.
Keyword [en]
Surfactants, Surface tension, Two phase flows, Navier-Stokes equations, Drop deformation, Shear flows
National Category
Computer Engineering
URN: urn:nbn:se:kth:diva-39007DOI: 10.1016/j.compfluid.2011.05.008ISI: 000293941100014ScopusID: 2-s2.0-79960891767OAI: diva2:439246
Knut and Alice Wallenberg FoundationSwedish eā€Science Research Center
Available from: 2011-09-07 Created: 2011-09-06 Last updated: 2012-05-23Bibliographically approved

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Tornberg, Anna-Karin
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