Lattice Boltzmann simulations of drop deformation and breakup in shear flow

International Journal of Multiphase Flow - Tập 59 - Trang 24-43 - 2014
A.E. Komrakova1, Orest Shardt1, D. Eskin2, J.J. Derksen1
1Chemical and Materials Engineering, University of Alberta, 7th Floor, ECERF, 9107 116 St., Edmonton, Alberta T6G 2V4, Canada
2Schlumberger DBR Technology Center, 9450 17 Ave. NW, Edmonton, Alberta T6N 1M9, Canada

Tài liệu tham khảo

Ahmed, 2009, A boundary condition with adjustable slip length for lattice Boltzmann simulations, J. Stat. Mech., P09017, 1 Badalassi, 2003, Computation of multiphase systems with phase field models, J. Comput. Phys., 190, 371, 10.1016/S0021-9991(03)00280-8 Bazhlekov, 2004, Nonsingular boundary integral method for deformable drops in viscous flows, Phys. Fluids, 16, 1064, 10.1063/1.1648639 Bentley, 1986, An experimental investigation of drop deformation and breakup in steady, two-dimensional linear flows, J. Fluid Mech., 167, 241, 10.1017/S0022112086002811 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 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: non-microfluidic ways to monodisperse emulsions, FDMP, 2, 77 Cristini, 2003, Drop breakup and fragment size distribution in shear flow, J. Rheol., 47, 1283, 10.1122/1.1603240 Davies, 1987, A physical interpretation of drop sizes in homogenizers and agitated tanks, including the dispersion of viscous oils, Chem. Eng. Sci., 42, 1671, 10.1016/0009-2509(87)80172-0 De Groot, 1984 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 Jacqmin, 1999, Calculation of two-phase Navier–Stokes flows using phase-field modeling, J. Comput. Phys., 155, 96, 10.1006/jcph.1999.6332 Jacqmin, 2000, Contact-line dynamics of a diffuse fluid interface, J. Fluid Mech., 402, 57, 10.1017/S0022112099006874 Janssen, 2007, Boundary-integral method for drop deformation between parallel plates, Phys. Fluids, 19, 043602, 10.1063/1.2715621 Kendon, 2001, Inertial effects in three-dimensional spinodal decomposition of a symmetric binary fluid mixture: a lattice Boltzmann study, J. Fluid Mech., 440, 147, 10.1017/S0022112001004682 Kennedy, 1994, Motion and deformation of liquid drops, and the rheology of dilute emulsions in simple shear flow, Comput. Fluids, 23, 251, 10.1016/0045-7930(94)90040-X Khismatullin, 2003, Inertia-induced breakup of highly viscous drops subjected to simple shear, Phys. Fluids, 15, 1351, 10.1063/1.1564825 Komrakova, A.E., Derksen, J.J., Eskin, D., in press. Simulations of dispersion formation in liquid-liquid turbulent flows. In: 8th International Conference on Multiphase Flow, ICMF 2013, Jeju, Korea, May 26–31. Kusumaatmaja, H., 2008. Lattice Boltzmann Studies of Wetting and Spreading on Patterned Surfaces. Ph.D. Thesis, University of Oxford. Kwak, 1998, Adaptive triangulation of evolving, closed, or open surfaces by the advancing-front method, J. Comput. Phys., 145, 61, 10.1006/jcph.1998.6030 Ladd, 1994, Numerical simulations of particulate suspensions via a discretized Boltzmann equation Part I. Theoretical Foundation, J. Fluid Mech., 271, 285, 10.1017/S0022112094001771 Li, 2000, Numerical simulation of breakup of a viscous drop in simple shear flow through a volume-of-fluid method, Phys. Fluids, 12, 269, 10.1063/1.870305 Magaletti, 2013, The sharp-interface limit of the Cahn–Hilliard/Navier–Stokes model for binary fluids, J. Fluid Mech., 714, 95, 10.1017/jfm.2012.461 Marks, C.R., 1998. Drop Breakup and Deformation in Sudden onset Strong Flows. Ph.D. Thesis, University of Maryland. Mason, 1997, Shear rupturing of droplets in complex fluids, Langmuir, 13, 4600, 10.1021/la9700580 Mussa, 2009, Lattice Boltzmann simulations of 2D laminar flows past two tandem cylinders, J. Comput. Phys., 228, 983, 10.1016/j.jcp.2008.10.010 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 Pope, 2000 Pozrikidis, 1992 Rallison, 1981, A numerical study of the deformation and burst of a viscous drop in general shear flows, J. Fluid Mech., 109, 465, 10.1017/S002211208100116X Rallison, 1984, The deformation of small viscous drops and bubbles in shear flows, 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 Shan, 1993, Lattice Boltzmann model for simulating flows with multiple phases and components, Phys. Rev. E, 47, 1815, 10.1103/PhysRevE.47.1815 Shardt, 2013, Simulations of droplet coalescence in simple shear flow, Langmuir, 10.1021/la304919p Stone, 1994, Dynamics of drop deformation and breakup in viscous fluids, Ann. Rev. Fluid Mech., 26, 65, 10.1146/annurev.fl.26.010194.000433 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. Roy. Soc. Lond. A, 138, 41, 10.1098/rspa.1932.0169 Taylor, 1934, The formation of emulsions in definable fields of flow, Proc. Roy. 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 Xi, 1999, Lattice Boltzmann simulations of three-dimensional single droplet deformation and breakup under simple shear flow, Phys. Rev. E, 59, 3022, 10.1103/PhysRevE.59.3022 Yue, 2004, A diffuse-interface method for simulating two-phase flows of complex fluids, J. Fluid Mech., 515, 293, 10.1017/S0022112004000370 Yue, 2010, Sharp-interface limit of the Cahn–Hilliard model for moving contact lines, J. Fluid Mech., 645, 279, 10.1017/S0022112009992679 Zhao, 2007, Drop breakup in dilute newtonian emulsions in simple shear flow: new drop breakup mechanisms, J. Rheol., 51, 367, 10.1122/1.2714641