title: A diffuse-interface method for two-phase flows with soluble surfactants.
abstract: A method is presented to solve two-phase problems involving soluble surfactants. The incompressible Navier-Stokes equations are solved along with equations for the bulk and interfacial surfactant concentrations. A non-linear equation of state is used to relate the surface tension to the interfacial surfactant concentration. The method is based on the use of a diffuse interface, which allows a simple implementation using standard finite difference or finite element techniques. Here, finite difference methods on a block-structured adaptive grid are used, and the resulting equations are solved using a non-linear multigrid method. Results are presented for a drop in shear flow in both 2D and 3D, and the effect of solubility is discussed.
authors.affiliation: Department of Energy and Process Engineering, Norwegian University of Science and Technology, NO-7491 Trondheim, Norway.
authors.forename: Knut Erik
authors.initials: KE
authors.lastname: Teigen
authors.forename: Peng
authors.initials: P
authors.lastname: Song
authors.forename: John
authors.initials: J
authors.lastname: Lowengrub
authors.forename: Axel
authors.initials: A
authors.lastname: Voigt