Direct Numerical Simulations of Aggregation of Monosized Spherical Particles in Homogeneous Isotropic Turbulence

Direct numerical simulations of turbulent solid–liquid suspensions have been performed. The liquid is Newtonian, and the particles are identical spheres. The spheres have a tendency to aggregate since they are attracted to one another as a result of a square-well potential. The size of the particles is typically larger than the Kolmogorov scale, albeit of the same order of magnitude. In such situations, the particle dynamics (including the aggregation process), and turbulence strongly interact which explains the need for direct simulations. The lattice-Boltzmann method combined with an immersed boundary method for representing the no-slip conditions at the spherical solid–liquid interfaces was used. The results show that the aggregate size distributions depend on both the strength of particle–particle interactions and the intensity of the turbulence. V

[1]  R. Botet,et al.  Restructuring of colloidal aggregates in shear flow , 2012, The European physical journal. E, Soft matter.

[2]  M. Lattuada,et al.  Experimental and modeling study of breakage and restructuring of open and dense colloidal aggregates. , 2011, Langmuir : the ACS journal of surfaces and colloids.

[3]  M. Morbidelli,et al.  Effect of flow field heterogeneity in coagulators on aggregate size and structure , 2010 .

[4]  J. Derksen,et al.  Potential of Microchannel Flow for Agglomerate Breakage , 2010 .

[5]  S. Elghobashi,et al.  Modulation of isotropic turbulence by particles of Taylor length-scale size , 2010, Journal of Fluid Mechanics.

[6]  D. Kadau,et al.  Fragmentation and restructuring of soft-agglomerates under shear. , 2010, Journal of colloid and interface science.

[7]  M. Morbidelli,et al.  Aggregate breakup in a contracting nozzle. , 2010, Langmuir : the ACS journal of surfaces and colloids.

[8]  M. Behr,et al.  Restructuring of colloidal aggregates in shear flows and limitations of the free-draining approximation. , 2009, Journal of colloid and interface science.

[9]  R. D. Vigil On equilibrium solutions of aggregation-fragmentation problems. , 2009, Journal of colloid and interface science.

[10]  Zoltan K. Nagy,et al.  Combined Quadrature Method of Moments and Method of Characteristics Approach for Efficient Solution of Population Balance Models for Dynamic Modeling and Crystal Size Distribution Control of Crystallization Processes , 2009 .

[11]  M. Lattuada,et al.  Generation and geometrical analysis of dense clusters with variable fractal dimension. , 2009, The journal of physical chemistry. B.

[12]  M. Morbidelli,et al.  Breakup of dense colloidal aggregates under hydrodynamic stresses. , 2009, Physical review. E, Statistical, nonlinear, and soft matter physics.

[13]  Drag on random assemblies of spheres in shear-thinning and thixotropic liquids , 2009 .

[14]  M. Morbidelli,et al.  Modelling the breakup of solid aggregates in turbulent flows , 2008, Journal of Fluid Mechanics.

[15]  J. Derksen Flow-induced forces in sphere doublets , 2008, Journal of Fluid Mechanics.

[16]  J. Derksen,et al.  Direct numerical simulations of dense suspensions: wave instabilities in liquid-fluidized beds , 2007, Journal of Fluid Mechanics.

[17]  Ulrich S Schubert,et al.  Water-soluble ionic liquids as novel stabilizers in suspension polymerization reactions: engineering polymer beads. , 2006, Chemistry.

[18]  S. Harada,et al.  Dependence of fragmentation behavior of colloidal aggregates on their fractal structure. , 2006, Journal of colloid and interface science.

[19]  Massimo Morbidelli,et al.  Investigation of aggregation, breakage and restructuring kinetics of colloidal dispersions in turbulent flows by population balance modeling and static light scattering , 2006 .

[20]  Massimo Morbidelli,et al.  Role of turbulent shear rate distribution in aggregation and breakage processes , 2006 .

[21]  John F. Brady,et al.  STOKESIAN DYNAMICS , 2006 .

[22]  Charles Meneveau,et al.  Linear forcing in numerical simulations of isotropic turbulence , 2005 .

[23]  Jos Derksen,et al.  Turbulent mixing in a tubular reactor: Assessment of an FDF/LES approach , 2005 .

[24]  J. Derksen,et al.  Fully resolved simulations of colliding monodisperse spheres in forced isotropic turbulence , 2004, Journal of Fluid Mechanics.

[25]  Jesse T. Pikturna,et al.  Quadrature method of moments for population‐balance equations , 2003 .

[26]  J. Boon The Lattice Boltzmann Equation for Fluid Dynamics and Beyond , 2003 .

[27]  Elisabeth Guazzelli,et al.  Experimental investigation on the secondary instability of liquid-fluidized beds and the formation of bubbles , 2002, Journal of Fluid Mechanics.

[28]  Jos Derksen,et al.  Particle imaging velocimetry experiments and lattice-Boltzmann simulations on a single sphere settling under gravity , 2002 .

[29]  A. Ladd,et al.  Lubrication corrections for lattice-Boltzmann simulations of particle suspensions. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[30]  Maxime Nicolas,et al.  Constitutive laws in liquid-fluidized beds , 2002, Journal of Fluid Mechanics.

[31]  Arno Kwade,et al.  Breaking characteristics of different materials and their effect on stress intensity and stress number in stirred media mills , 2002 .

[32]  Daniele Marchisio,et al.  Quadrature method of moments for population balances in CFD applications: comparison with experimental data , 2002 .

[33]  Jos Derksen,et al.  Numerical scale‐up study for orthokinetic agglomeration in stirred vessels , 2001 .

[34]  T. Kajishima,et al.  Large-eddy simulation of turbulent gas–particle flow in a vertical channel: effect of considering inter-particle collisions , 2001, Journal of Fluid Mechanics.

[35]  Ko Higashitani,et al.  Simulation of deformation and breakup of large aggregates in flows of viscous fluids , 2001 .

[36]  Michael J. Hounslow,et al.  A micro-mechanical model for the rate of aggregation during precipitation from solution , 2001 .

[37]  Doraiswami Ramkrishna,et al.  Population Balances: Theory and Applications to Particulate Systems in Engineering , 2000 .

[38]  Jos Derksen,et al.  Large eddy simulations on the flow driven by a Rushton turbine , 1999 .

[39]  Shiyi Chen,et al.  LATTICE BOLTZMANN METHOD FOR FLUID FLOWS , 2001 .

[40]  Benny D. Freeman,et al.  Molecular Dynamics for Polymeric Fluids Using Discontinuous Potentials , 1997 .

[41]  J. A. Somers,et al.  Numerical simulation of free convective flow using the lattice-Boltzmann scheme , 1995 .

[42]  A. Ladd Numerical simulations of particulate suspensions via a discretized Boltzmann equation. Part 2. Numerical results , 1993, Journal of Fluid Mechanics.

[43]  A. Ladd Numerical simulations of particulate suspensions via a discretized Boltzmann equation. Part 1. Theoretical foundation , 1993, Journal of Fluid Mechanics.

[44]  J. A. Somers Direct simulation of fluid flow with cellular automata and the lattice-Boltzmann equation , 1993 .

[45]  L. Sirovich,et al.  Modeling a no-slip flow boundary with an external force field , 1993 .

[46]  Sangtae Kim,et al.  Microhydrodynamics: Principles and Selected Applications , 1991 .

[47]  Karel Antonius Kusters,et al.  The influence of turbulence on aggregation of small particles in agitated vessels , 1991 .

[48]  D. A. Saville,et al.  Colloidal Dispersions: Equilibrium phase behavior , 1989 .

[49]  D. A. Saville,et al.  Colloidal Dispersions: ACKNOWLEDGEMENTS , 1989 .

[50]  A. Acrivos,et al.  Slow flow through a periodic array of spheres , 1982 .

[51]  L. Sander,et al.  Diffusion-limited aggregation, a kinetic critical phenomenon , 1981 .

[52]  B. Fitch,et al.  Sedimentation of flocculent suspensions: State of the art , 1979 .

[53]  R. Probstein,et al.  The Effect of Coalescence on the Average Drop Size in Liquid-Liquid Dispersions, , 1976 .

[54]  A. F. Mills,et al.  Particle Transport across a Plane Turbulent Jet , 1975 .

[55]  H. Hasimoto On the periodic fundamental solutions of the Stokes equations and their application to viscous flow past a cubic array of spheres , 1959, Journal of Fluid Mechanics.