Effects of dispersed phase viscosity on drop deformation and breakup in inertial shear flow

Badalassi, 2003, Computation of multiphase systems with phase field models, J. Comput. Phys., 190, 371, 10.1016/S0021-9991(03)00280-8 Bhatnagar, 1954, A model for collision processes in gases. I. Small amplitude processes in charged and neutral one-component systems, Phys. Rev., 94, 511, 10.1103/PhysRev.94.511 Bławzdziewicz, 2002, Critical behavior of drops in linear flows, Phys. Fluids, 14, 2709, 10.1063/1.1485076 Boxall, 2011, Droplet size scaling of water-in-oil emulsions under turbulent flow, Langmuir, 28, 104, 10.1021/la202293t Cahn, 1958, Free energy of a nonuniform system. I. Interfacial free energy, J. Chem. Phys., 28, 258, 10.1063/1.1744102 Cahn, 1959, Free energy of a nonuniform system. III. Nucleation in a two–component incompressible fluid, J. Chem. Phys., 31, 688, 10.1063/1.1730447 Cristini, 2006, Scalings for droplet sizes in shear-driven breakup, FDMP: Fluid Dyn. Mater. Process., 2, 77 Cristini, 2003, Drop breakup and fragment size distribution in shear flow, J. Rheol., 45, 1283, 10.1122/1.1603240 Ding, 2007, Diffuse interface model for incompressible two-phase flows with large density ratios, J. Comput. Phys., 226, 2078, 10.1016/j.jcp.2007.06.028 Fjelde, 2007, Formation damages caused by emulsions during drilling with emulsified drilling fluids, Soc. Pet. Eng., 105858, 1 Grace, 1982, Dispersion phenomena in high viscosity immiscible fluid systems and application of static mixers as dispersion devices in such systems, Chem. Eng. Commun., 14, 225, 10.1080/00986448208911047 Jacqmin, 1999, Calculation of two–phase Navier–Stokes flows using phase–field modeling, J. Comput. Phys., 155, 96, 10.1006/jcph.1999.6332 Kendon, 2001, Inertial effects in three-dimensional spinodal decomposition of a symmetric binary fluid mixture, J. Fluid Mech., 440, 147, 10.1017/S0022112001004682 Khismatullin, 2003, Inertia-induced breakup of highly viscous drops subjected to simple shear, Phys. Fluids, 15, 1351, 10.1063/1.1564825 Komrakova, 2014, Lattice Boltzmann simulations of drop deformation and breakup in shear flow, Int. J. Multiph. Flow, 59, 24, 10.1016/j.ijmultiphaseflow.2013.10.009 Kusumaatmaja, H., 2008. Lattice Boltzmann Studies of Wetting and Spreading on Patterned Surfaces (Ph.D. thesis), University of Oxford. Ladd, 1994, Numerical simulations of particulate suspensions via a discretized Boltzmann equation—Part I. Theoretical foundation, J. Fluid Mech., 271, 285, 10.1017/S0022112094001771 Marks, C.R., 1998. Drop Breakup and Deformation in Sudden Onset Strong Flows (Ph.D. thesis), University of Maryland. Penrose, 1990, Thermodynamically consistent models of phase-field type for the kinetics of phase transitions, Physica D, 43, 44, 10.1016/0167-2789(90)90015-H Rallison, 1984, The deformation of small viscous drops and bubbles in shear flow, Ann. Rev. Fluid Mech., 16, 45, 10.1146/annurev.fl.16.010184.000401 Renardy, 2001, Effect of inertia on drop breakup under shear, Phys. Fluids, 13, 7, 10.1063/1.1331321 Renardy, 2001, Scalings for fragments produced from drop breakup in shear flow with inertia, Phys. Fluids, 13, 2161, 10.1063/1.1384469 Renardy, 2002, Drop fragment distributions under shear with inertia, Int. J. Multiphase Flow, 28, 1125, 10.1016/S0301-9322(02)00022-8 Rueger, 2013, Dispersion of water into oil in a rotor-stator mixer. Part 1, Chem. Eng. Res. Des., 91, 2122, 10.1016/j.cherd.2013.05.018 Rumscheidt, 1961, Particle motions in sheared suspensions. XII. Deformation and burst of fluid drops in shear and hyperbolic flow, J. Colloid Sci., 16, 238, 10.1016/0095-8522(61)90003-4 Shardt, 2013, Simulations of droplet coalescence in simple shear flow, Langmuir, 29, 6201, 10.1021/la304919p Stone, 1994, Dynamics of drop deformation and breakup in viscous fluids, Annu. Rev. Fluid Mech., 26, 65, 10.1146/annurev.fl.26.010194.000433 Stone, 1986, An experimental study of transient effects in the breakup of viscous drops, J. Fluid Mech., 173, 131, 10.1017/S0022112086001118 Swift, 1996, Lattice Boltzmann simulations of liquid–gas and binary fluid systems, Phys. Rev. E, 54, 5041, 10.1103/PhysRevE.54.5041 Taylor, 1932, The viscosity of a fluid containing small drops of another fluid, Proc. R. Soc. Lond. A, 138, 41, 10.1098/rspa.1932.0169 Taylor, 1934, The formation of emulsions in definable fields of flow, Proc. R. Soc. Lond. A, 146, 501, 10.1098/rspa.1934.0169 van der Sman, 2008, Emulsion droplet deformation and breakup with Lattice Boltzmann model, Comput. Phys. Commun., 178, 492, 10.1016/j.cpc.2007.11.009 Yue, 2004, A diffuse-interface method for simulating two-phase flows of complex fluids, J. Fluid Mech., 515, 293, 10.1017/S0022112004000370 Zhao, 2007, Drop breakup in dilute Newtonian emulsions in simple shear flow, J. Rheol., 51, 367, 10.1122/1.2714641