Multiphase Microfluidics - The Diffuse Interface Model
Invited Lecturers
- Patrick D. Anderson (Eindhoven University of Technology, Eindhoven, The Netherlands)
- John S. Lowengrub (University of California at Irvine, CA, USA)
- 6 lectures on: Latest development of the diffuse interphase model. Examples include modeling the motion of a drop through an interface, the dripping of a drop from a moving nozzle, deformation, coalescence and break-up of fluid volumes, phase inversion and interfacial deformation, that determine the physical (i.e. mechanical, optical, rheological, etc.) characteristics of multi-component flows.
- Roberto Mauri (Università di Pisa, Italy )
- 5 lectures on: History of the diffuse interface model with applications to one-component, two-phase fluids and liquid binary mixtures. Van der Waals theory is revisited, stressing that the diffuse interface model can be derived ab initio using irreversible thermodynamics. Numerical simulations about mixing, spinodal decomposition and nucleation of regular liquid mixtures are shown, together with heat effects.
- Demetrios T. Papageorgiou (Imperial College, London, UK )
- 6 lectures on: Stability problems involved in solving the diffuse interface system of equations. Problems on surface tension driven flows are studied using the diffuse interface approach, to investigate the stability, dynamics, and breakup of single and compound liquid jets, both in the presence and absence of surface active agents, which affect interfacial tension.
- Mathis Plapp (Ecole Polytechnique, Palaiseau, France)
- 6 lectures on: Application of the diffuse interface model the dynamics of phase transformations. Application to the spontaneous emergence of branched patterns in diffusion-limited growth. Methods of matched asymptotic expansions to relate diffuse-interface models to free boundary problems. Applications to pattern formation in fluid dynamics: viscous fingering and instabilities in ferrofluids triggered by magnetic fields.
- Uwe Thiele (Loughborough University, UK)
- 6 lectures on: Modeling the dynamics of thin liquid films. The long-wave sharp-interface limit of a diffuse interface theory is used to obtain a thin film evolution equation. The latter is analysed for homo- and heterogeneous substrates using as examples film rupture in dewetting, the pinning-coarsening transition on patterned substrates, and the depinning of driven drops. Finally, both, sharp and diffuse interface models are employed to study the structure formation in films of binary mixtures.