Benchmark numerical simulations of segmented two-phase flows in microchannels using the Volume of Fluid method

deMello, 2006, Control and detection of chemical reactions in microfluidic systems, Nature, 442, 394, 10.1038/nature05062

Seemann, 2012, Droplet based microfluidics, Rep Prog Phys, 75, 016601, 10.1088/0034-4885/75/1/016601

Kreutzer, 2005, Multiphase monolith reactors: chemical reaction engineering of segmented flow in microchannels, Chem Eng Sci, 60, 5895, 10.1016/j.ces.2005.03.022

Hoang, 2013, Dynamics of droplet breakup in a T-junction, J Fluid Mech, 717, 10.1017/jfm.2013.18

Leshansky, 2012, Obstructed breakup of slender drops in a microfluidic T-junction, Phys Rev Lett, 108, 10.1103/PhysRevLett.108.264502

Scardovelli, 1999, Direct numerical simulation of free-surface and interfacial flow, Annu Rev Fluid Mech, 31, 567, 10.1146/annurev.fluid.31.1.567

Wörner, 2012, Numerical modeling of multiphase flows in microfluidics and micro process engineering: a review of methods and applications, Microfluid Nanofluid, 1

Kreutzer, 2005, Inertial and interfacial effects on pressure drop of Taylor flow in capillaries, AIChE J, 51, 2428, 10.1002/aic.10495

Giavedoni, 1997, The axisymmetric and plane case of a gas phase steadily displacing a Newtonian liquid – a simultaneous solution to the governing equations, Phys Fluids, 9, 2420, 10.1063/1.869360

Hazel, 2002, The steady propagation of a semi-infinite bubble into a tube of elliptical or rectangular cross-section, J Fluid Mech, 470, 91, 10.1017/S0022112002001830

Tukovíc, 2012, A moving mesh finite volume interface tracking method for surface tension dominated interfacial fluid flow, Comput Fluids, 55, 70, 10.1016/j.compfluid.2011.11.003

Unverdi, 1992, A front-tracking method for viscous, incompressible, multi-fluid flows, J Comput Phys, 100, 25, 10.1016/0021-9991(92)90307-K

Tryggvason, 2006, Direct numerical simulations of gas/liquid multiphase flows, Fluid Dyn Res, 38, 660, 10.1016/j.fluiddyn.2005.08.006

Muradoglu, 2010, A front-tracking method for computational modeling of impact and spreading of viscous droplets on solid walls, Comput Fluids, 39, 615, 10.1016/j.compfluid.2009.10.009

Anderson, 1998, Diffuse-interface methods in fluid mechanics, Annu Rev Fluid Mech, 30, 139, 10.1146/annurev.fluid.30.1.139

De Menech, 2006, Modeling of droplet breakup in a microfluidic T-shaped junction with a phase-field model, Phys Rev E, 73, 10.1103/PhysRevE.73.031505

Sussman, 1994, A level set approach for computing solutions to incompressible two-phase flow, J Comput Phys, 114, 146, 10.1006/jcph.1994.1155

Sethian, 2003, Level set methods for fluid interfaces, Annu Rev Fluid Mech, 35, 341, 10.1146/annurev.fluid.35.101101.161105

Hirt, 1981, Volume of Fluid (VOF) method for the dynamics of free boundaries, J Comput Phys, 39, 201, 10.1016/0021-9991(81)90145-5

Taha, 2006, CFD modelling of slug flow inside square capillaries, Chem Eng Sci, 61, 665, 10.1016/j.ces.2005.07.023

Sobieszuk, 2010, Bubble lengths in the gas–liquid Taylor flow in microchannels, Chem Eng Res Des, 88, 263, 10.1016/j.cherd.2009.07.007

Amaya-Bower, 2011, Lattice boltzmann simulations of bubble formation in a microfluidic T-junction, Philos Trans Roy Soc A, 369, 2405, 10.1098/rsta.2011.0025

Ansys Inc., Ansys Fluent Theory Guide, Ansys Inc., 2005.

Ansys Inc., Ansys CFX-Solver Theory Guide, Ansys Inc., 2011.

ESI Group, CFD-ACE V2006 User Manual, ESI, Group, 2006.

OpenCFD Ltd., OpenFOAM Userguide, OpenCFD Ltd., 2009.

Francois, 2006, A balanced-force algorithm for continuous and sharp interfacial surface tension models within a volume tracking framework, J Comput Phys, 213, 141, 10.1016/j.jcp.2005.08.004

Popinet, 2009, An accurate adaptive solver for surface-tension-driven interfacial flows, J Comput Phys, 228, 5838, 10.1016/j.jcp.2009.04.042

Afkhami, 2008, Height functions for applying contact angles to 2D VOF simulations, Int J Numer Meth Fluid, 57, 453, 10.1002/fld.1651

Sussman, 2000, A coupled level set and volume-of-fluid method for computing 3d and axisymmetric incompressible two-phase flows, J Comput Phys, 162, 301, 10.1006/jcph.2000.6537

Cummins, 2005, Estimating curvature from volume fractions, Comput Struct, 83, 425, 10.1016/j.compstruc.2004.08.017

Afkhami, 2011, Numerical investigation of elongated drops in a microfluidic T-junction, Phys Fluids, 23, 022002, 10.1063/1.3549266

Lafaurie, 1994, Modelling merging and fragmentation in multiphase flows with surfer, J Comput Phys, 113, 134, 10.1006/jcph.1994.1123

Gerlach, 2006, Comparison of volume-of-fluid methods for surface tension-dominant two-phase flows, Int J Heat Mass Transfer, 49, 740, 10.1016/j.ijheatmasstransfer.2005.07.045

Raeini, 2012, Modelling two-phase flow in porous media at the pore scale using the volume-of-fluid method, J Comput Phys, 231, 5653, 10.1016/j.jcp.2012.04.011

Weller, 1998, A tensorial approach to computational continuum mechanics using object-oriented techniques, Comput Phys, 12, 620, 10.1063/1.168744

Brackbill, 1992, A continuum method for modeling surface tension, J Comput Phys, 100, 335, 10.1016/0021-9991(92)90240-Y

Weller HG. A new approach to VOF-based interface capturing methods for incompressible and compressible flow. Technical report, OpenCFD Ltd.; 2008.

Berberovic, 2009, Drop impact onto a liquid layer of finite thickness: dynamics of the cavity evolution, Phys Rev E, 79, 036306, 10.1103/PhysRevE.79.036306

Deshpande, 2012, Evaluating the performance of the two-phase flow solver interFoam, Comput Sci Disc, 5, 014016, 10.1088/1749-4699/5/1/014016

Rusche H. Computational fluid dynamics of dispersed two-phase flows at high phase fractions. Ph.D. Thesis, Imperial College of Science, Technology and Medicine; 2002.

Eggers, 2008, Physics of liquid jets, Rep Prog Phys, 71, 036601, 10.1088/0034-4885/71/3/036601

Vrij, 1966, Possible mechanism for the spontaneous rupture of thin, free liquid films, Discuss Faraday Soc, 42, 23, 10.1039/df9664200023

Bretherton, 1961, The motion of long bubbles in tubes, J Fluid Mech, 10, 166, 10.1017/S0022112061000160

Aussillous, 2000, Quick deposition of a fluid on the wall of a tube, Phys Fluids, 12, 2367, 10.1063/1.1289396

Roache, 1997, Quantification of uncertainty in computational fluid dynamics, Annu Rev Fluid Mech, 29, 123, 10.1146/annurev.fluid.29.1.123

van Steijn, 2010, Predictive model for the size of bubbles and droplets created in microfluidic T-junctions, Lab Chip, 10, 2513, 10.1039/c002625e

van Steijn, 2009, Flows around confined bubbles and their importance in triggering pinch-off, Phys Rev Lett, 103, 214501, 10.1103/PhysRevLett.103.214501

Ajaev, 2006, Modeling shapes and dynamics of confined bubbles, Annu Rev Fluid Mech, 38, 277, 10.1146/annurev.fluid.38.050304.092033

Wong, 1995, The motion of long bubbles in polygonal capillaries. Part 1. Thin films, J Fluid Mech, 292, 71, 10.1017/S0022112095001443

Link, 2004, Geometrically mediated breakup of drops in microfluidic devices, Phys Rev Lett, 92, 054503, 10.1103/PhysRevLett.92.054503

Jullien, 2009, Droplet breakup in microfluidic T-junctions at small capillary numbers, Phys Fluids, 21, 072001, 10.1063/1.3170983

Fu, 2011, Dynamics of bubble breakup in a microfluidic T-junction divergence, Chem Eng Sci, 66, 4184, 10.1016/j.ces.2011.06.003