SPP 1506:  Transport Processes at Fluidic Interfaces

• Subject Area: Mathematics
• Term: from 2010 to 2019
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 131808835

In multiphase flow systems there are several physico-chemical processes that determine the systems behaviour, e.g., the fluid dynamics in the different fluids and the dynamics of the interfaces, heat and mass-transport between the fluids, adsorption effects at the interface and transport of species on the interface, variable surface properties, phase changes. In general these processes are strongly coupled and properties of the interface play a crucial role. A rigorous understanding of the behaviour of such very complex flow problems must be based on mathematical models accounting especially for local processes at the interface.
The aim of this Priority Programme is to further develop and expand such mathematical models, to analyse their mathematical properties and to develop and advance numerical methods for the rigorous simulation of these models. The realisation of this requires interdisciplinary research with expertise from applied analysis, numerical mathematics, surface physics as well as appropriate research areas in the engineering sciences.
Important goals of the Priority Programme are: (1) derive and expand mathematical models that describe relevant physico-chemical interface phenomena. Improve and deepen the understanding of mechanisms and phenomena occurring at fluidic interfaces by means of rigorous mathematical analysis of the underlying systems of partial differential equations; (2) development and analysis of numerical methods for the simulation of multiphase flow problems, which resolve the local processes at the interface; (3) validation of the mathematical models and the numerical simulation methods by means of specifically designed experiments.
A long-term vision is that the validated models and simulation tools developed in the Priority Programme induce significant advances in future high-tech applications in, for example, micro-reactors, multiphase reactors in chemical engineering, micro process engineering etc.

• DFG Programme: Priority Programmes
• International Connection: Netherlands, USA

Projects

• A combined experimental and numerical approach to study the hierarchy of multiscale structures arising from the stationary solutal Marangoni instability (Applicants Boeck, Thomas ;  Eckert, Kerstin )
• A diffuse-interface model for multiphase flow with surface-active particles (Applicant Aland, Sebastian )
• A sharp interface finite volume method for variable density zero Mach number two-phase flow with surfactant-dependent surface tension (Applicant Klein, Rupert )
• Accurate and Efficient Coupled Surfactant Calculations for Two-Phase Flows with the Discrete Exterior Calculus (Applicant Griebel, Michael )
• ALE-Finite element based discretizations for 3d simulations of two-phase flows with surfactants (Applicant Tobiska, Lutz )
• Diffuse interface models for transport processes at fluidic interfaces (Applicants Garcke, Harald ;  Grün, Günther )
• Discontinuous Galerkin methods for two-phase flows with soluble surfactants (Applicants Oberlack, Martin ;  Wang, Yongqi )
• Experimental and Computational Analysis of fluidic interfaces influenced by soluble surfactant (Applicants Bothe, Dieter ;  Miller, Reinhard )
• Experimental investigation and modeling of local mass transfer rates in pure and contaminated Taylor flows (Applicant Schlüter, Michael )
• Fully adaptive and integrated numerical methods for the simulation and control of variable density multiphase flows governed by diffuse interface models. (Applicants Hintermüller, Michael ;  Hinze, Michael )
• Hierarchical Grid Method for Conjugate Mass Transfer in Two-Fluid Flows (Applicant Wörner, Martin )
• Higher order time discretization for free surface flows (Applicant Bänsch, Eberhard )
• Koordinatorprojekt (Applicant Reusken, Arnold )
• Modeling, Simulation and Validation of Transport at Interfaces in Lipid Membranes and Enantiomer Separation (Applicants Franke, Thomas ;  Hoppe, Ronald H.W. ;  Peter, Malte Andreas ;  Wixforth, Achim )
• Numerical methods for two-phase incompressible flows with mass transport (Applicant Reusken, Arnold )
• Osmotic Cell Swelling: Modelling and Analysis (Applicant Escher, Joachim )
• Sharp interface limits for diffuse interface models for two-phase flows of viscous incompressible fluids (Applicant Abels, Helmut )
• Stability of diffuse fluidic phase boundaries (Applicants Freistühler, Heinrich ;  Kotschote, Matthias )
• Structure Formation in Thin Liquid-Liquid Films (Applicants Seemann, Ralf ;  Wagner, Ph.D., Barbara Agnes )
• Surface viscosity in multiphase flow - modeling, numerical analysis and simulations (Applicant Voigt, Axel )
• X-ray tomography studies of Taylor bubbles with mass transfer and surfactants in small channels (Applicant Hampel, Uwe )

• Spokespersons: Professor Dr. Dieter Bothe; Professor Dr. Arnold Reusken